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Published online by Cambridge University Press: 06 February 2026
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- Many-Body Green's Functions for Time-Dependent Problems , pp. 411 - 421Publisher: Cambridge University PressPrint publication year: 2026
References
Schwinger, J., Brownian motion of a quantum oscillator, J. Math. Phys. 2, 407 (1961).10.1063/1.1703727CrossRefGoogle Scholar
Keldysh, L. V., Diagram technique for non-equilibrium processes, Sov. Phys. JETP 20, 1018 (1965) [Zh. Eksp. Teor. Fiz. (U.S.S.R.) 47, 1515 (1964)].Google Scholar
Baym, G. and Kadanoff, L. P., Conservation laws and correlation functions, Phys. Rev. 124, 287 (1961).10.1103/PhysRev.124.287CrossRefGoogle Scholar
Baym, G., Self-consistent approximations in many-body systems, Phys. Rev. 127, 1391 (1962).10.1103/PhysRev.127.1391CrossRefGoogle Scholar
Kadanoff, L. P. and Baym, G., Quantum Statistical Mechanics (W. A. Benjamin, Menlo Park, 1962).Google Scholar
Abrikosov, A. A., Gorkov, L. P., and Dzyaloshinski, I. E., Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).Google Scholar
Fetter, A. L. and Walecka, J. D., Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).Google Scholar
Altland, A. and Simons, B., Condensed Matter Field Theory (Cambridge University Press, Cambridge, 2013).Google Scholar
Negele, J. W. and Orland, H., Quantum Many-Particle Systems (Addison-Wesley, Reading, 1988).Google Scholar
Rammer, J., Quantum Field Theory of Non-Equilibrium States (Cambridge University Press, Cambridge, 2009).Google Scholar
Stefanucci, G. and van Leeuwen, R., Nonequilibrium Many Body Theory of Quantum Systems (Cambridge University Press, Cambridge, 2013).10.1017/CBO9781139023979CrossRefGoogle Scholar
Kamenev, A., Field Theory of Non-Equilibrium Systems (Cambridge University Press, Cambridge, 2013).Google Scholar
Pourfath, M., The Non-Equilibrium Green’s Function Method for Nanoscale Device Simulation (Springer-Verlag, Wien, 2014).10.1007/978-3-7091-1800-9CrossRefGoogle Scholar
Schultze, M., Fieß, M., Karpowicz, N., Gagnon, J., Korbman, M., Hofstetter, M., Neppl, S., Cavalieri, A. L., Komninos, Y., Mercouris, Th, Nicolaides, C. A., Pazourek, R., Nagele, S., Feist, J., Burgdörfer, J., Azzeer, A. M., Ernstorfer, R., Kienberger, R., Kleineberg, U., Goulielmakis, E., Krausz, F., and Yakovlev, V. S., Delay in photoemission, Science 328, 1658 (2010).10.1126/science.1189401CrossRefGoogle ScholarPubMed
Nisoli, M., Decleva, P., Calegari, F., Palacios, A., and Martín, F., Attosecond electron dynamics in molecules, Chem. Rev. 117, 10760 (2017).10.1021/acs.chemrev.6b00453CrossRefGoogle ScholarPubMed
Calvanese Strinati, G., Pieri, P., Röpke, G., Schuck, P., and Urban, M., The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems, Phys. Rep. 738, 1 (2018).Google Scholar
Fausti, D., Tobey, R. I., Dean, N., Kaiser, S., Dienst, A., Hoffmann, M. C., Pyon, S., Takayama, T., Takagi, H., and Cavalleri, A., Light-induced superconductivity in a stripe-ordered cuprate, Science 331, 189 (2011).10.1126/science.1197294CrossRefGoogle Scholar
Mitrano, M., Cantaluppi, A., Nicoletti, D., Kaiser, S., Perucchi, A., Lupi, S., Di Pietro, P., Pontiroli, D., Riccò, M., Clark, S. R., Jaksch, D., and Cavalleri, A., Possible light-induced superconductivity in K3C60 at high temperature, Nature 530, 461 (2016).10.1038/nature16522CrossRefGoogle ScholarPubMed
Buzzi, M., Nicoletti, D., Fechner, M., Tancogne-Dejean, N., Sentef, M. A., Georges, A., Biesner, T., Uykur, E., Dressel, M., Henderson, A., Siegrist, T., Schlueter, J. A., Miyagawa, K., Kanoda, K., Nam, M.-S., Ardavan, A., Coulthard, J., Tindall, J., Schlawin, F., Jaksch, D., and Cavalleri, A., Photomolecular high-temperature superconductivity, Phys. Rev. X 10, 031028 (2020).Google Scholar
Dyke, P., Hogan, A., Herrera, I., Kuhn, C. C. N., Hoinka, S., and Vale, C. J., Dynamics of a Fermi gas quenched to unitarity, Phys. Rev. Lett. 127, 100405 (2021).10.1103/PhysRevLett.127.100405CrossRefGoogle ScholarPubMed
Breyer, M., Eberz, D., Kell, A., and Köhl, M., Quenching a Fermi superfluid across the BEC-BCS crossover, SciPost Phys. 18, 053 (2025).Google Scholar
Fermi, E., Quantum theory of radiation, Rev. Mod. Phys. 4, 87 (1932).10.1103/RevModPhys.4.87CrossRefGoogle Scholar
Rammer, J. and Smith, H., Quantum field-theoretical methods in transport theory of metals, Rev. Mod. Phys. 58, 323 (1986).10.1103/RevModPhys.58.323CrossRefGoogle Scholar
Feynman, R. P., An operator calculus having applications in quantum electrodynamics, Phys. Rev. 54, 108 (1951).Google Scholar
Fano, U., Description of states in quantum mechanics by density matrix and operator techniques, Rev. Mod. Phys. 29, 74 (1957).10.1103/RevModPhys.29.74CrossRefGoogle Scholar
Strinati, G., Application of the Green’s functions method to the study of the optical properties of semiconductors, La Rivista del Nuovo Cimento 11, (12) 1 (1998).Google Scholar
Gell-Mann, M. and Low, F., Bound states in quantum field theory, Phys. Rev. 84, 350 (1951).10.1103/PhysRev.84.350CrossRefGoogle Scholar
Craig, R. A., Perturbation expansion for real-time Green’s functions, J. Math. Phys. 9, 605 (1968).10.1063/1.1664616CrossRefGoogle Scholar
Matsubara, T., A New approach to quantum-statistical mechanics, Prog. Theor. Phys. 14, 351 (1955).10.1143/PTP.14.351CrossRefGoogle Scholar
Konstantinov, O. V. and Perel’, V. I., A diagram technique for evaluation transport quantities, Sov. Phys. JETP 12, 142 (1961) [Zh. Eksp. Teor. Fiz. (U.S.S.R.) 39, 197 (1960)].Google Scholar
Špička, V., Kalvová, A., and Velický, B., Dynamics of mesoscopic systems: Non-equilibrium Green’s functions approach, Physica E 42, 525 (2010).10.1016/j.physe.2009.08.008CrossRefGoogle Scholar
Schlünzen, N. and Bonitz, M., Nonequilibrium Green functions approach to strongly correlated fermions in lattice systems, Contrib. Plasma Phys. 56, 5 (2016).Google Scholar
Danielewicz, P., Quantum theory of nonequilibrium processes, Ann. Phys. 152, 239 (1984).Google Scholar
Aoki, H., Tsuji, N., Eckstein, M., Kollar, M., Oka, T., and Werner, P., Nonequilibrium dynamical mean-field theory and its applications, Rev. Mod. Phys. 86, 779 (2014).10.1103/RevModPhys.86.779CrossRefGoogle Scholar
Hohenberg, P. C. and Martin, P. C., Microscopic theory of superfluid helium, Ann. Phys. 34, 291 (1965).10.1016/0003-4916(65)90280-0CrossRefGoogle Scholar
Forster, D., Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (W. A. Benjamin, Reading, 1975).Google Scholar
Boboliubov, N. N., A new method in the theory of superconductivity. I, Sov. Phys. JETP 34, 41 (1958) [Zh. Eksp. Teor. Fiz. (U.S.S.R.) 34, 58 (1958)].Google Scholar
Valatin, J. G., Comments on the theory of superconductivity, Il Nuovo Cimento 7, 843 (1958).10.1007/BF02745589CrossRefGoogle Scholar
Gor’kov, L. P., On the energy spectrum of superconductors, Sov. Phys. JETP 34, 505 (1958) [Zh. Eksp. Teor. Fiz. (U.S.S.R.) 34, 735 (1958)].Google Scholar
Langreth, D. C. and Wilkins, J. W., Theory of spin resonance in dilute magnetic alloys, Phys. Rev. B 6, 3189 (1972).10.1103/PhysRevB.6.3189CrossRefGoogle Scholar
Pini, M., Pieri, P., and Calvanese Strinati, G., Fermi gas throughout the BCS-BEC crossover: Comparative study of t-matrix approaches with various degrees of self-consistency, Phys. Rev. B 99, 094502 (2019).10.1103/PhysRevB.99.094502CrossRefGoogle Scholar
Hedin, L., New method for calculating the one-particle Green’s function with application to the electron-gas problem, Phys. Rev. 139, A796 (1965).10.1103/PhysRev.139.A796CrossRefGoogle Scholar
Strinati, G., Mattausch, H. J., and Hanke, W., Dynamical correlation effects on the quasiparticle Bloch states of a covalent crystal, Phys. Rev. Lett. 45, 290 (1980).10.1103/PhysRevLett.45.290CrossRefGoogle Scholar
Strinati, G., Mattausch, H. J., and Hanke, W., Dynamical aspects of correlation corrections in a covalent crystal, Phys. Rev. B 25, 2867 (1982).10.1103/PhysRevB.25.2867CrossRefGoogle Scholar
Leng, X., Jin, F., Wei, M., and Ma, Y., GW method and Bethe–Salpeter equation for calculating electronic excitations, WIREs Comput. Mol. Sci. 6, 532 (2016).Google Scholar
Golze, D., Dvorak, M., and Rinke, P., The GW compendium: A practical guide to theoretical photoemission spectroscopy, Front. Chem. 7, 377 (2019).10.3389/fchem.2019.00377CrossRefGoogle ScholarPubMed
Galitskii, V. M., The energy spectrum of a non-ideal Fermi gas, Sov. Phys. JETP 7, 104 (1958) [Zh. Eksp. Teor. Fiz. 34, 151 (1958)].Google Scholar
Gor’kov, L. P. and Melik-Barkhudarov, T. M., Contribution to the theory of superfluidity in an imperfect Fermi gas, Sov. Phys. JETP 13, 1018 (1961) [Zh. Eksp. Teor. Fiz. 40, 1452 (1961)].Google Scholar
Pisani, L., Perali, A., Pieri, P., and Calvanese Strinati, G., Entanglement between pairing and screening in the Gorkov-Melik-Barkhudarov correction to the critical temperature throughout the BCS-BEC crossover, Phys. Rev. B 97, 014528 (2018).10.1103/PhysRevB.97.014528CrossRefGoogle Scholar
Pisani, L., Pieri, P., and Calvanese Strinati, G., Gap equation with pairing correlations beyond the mean-field approximation and its equivalence to a Hugenholtz-Pines condition for fermion pairs, Phys. Rev. B 98, 104507 (2018).10.1103/PhysRevB.98.104507CrossRefGoogle Scholar
Loos, P. F. and Romaniello, P., Static and dynamic Bethe–Salpeter equations in the T-matrix approximation, J. Chem. Phys. 156, 164101 (2022).10.1063/5.0088364CrossRefGoogle ScholarPubMed
Schwinger, J., On the Green’s functions of quantized fields. I , Proc. Natl. Acad. Sci. U.S.A. 37, 452 (1951).Google ScholarPubMed
Dyson, F. J., The S matrix in quantum electrodynamics, Phys. Rev. 75, 1736 (1949).10.1103/PhysRev.75.1736CrossRefGoogle Scholar
Perfetto, E., Pavlyukh, Y., and Stefanucci, G., Real-time GW: Toward an ab-initio description of the ultrafast carrier and exciton dynamics in two-dimensional materials, Phys. Rev. Lett. 128, 016801 (2022).10.1103/PhysRevLett.128.016801CrossRefGoogle ScholarPubMed
Joost, J.-P., Schlünzen, N., Ohldag, H., Bonitz, M., Lackner, F., and Březinová, I., Dynamically screened ladder approximation: Simultaneous treatment of strong electronic correlations and dynamical screening out of equilibrium, Phys. Rev. B 105, 165155 (2022).10.1103/PhysRevB.105.165155CrossRefGoogle Scholar
Palestini, F. and Calvanese Strinati, G., Temperature dependence of the pair coherence and healing lengths for a fermionic superfluid throughout the BCS-BEC crossover, Phys. Rev. B 89, 224508 (2014).10.1103/PhysRevB.89.224508CrossRefGoogle Scholar
Pisani, L., Pieri, P., and Calvanese Strinati, G., Spatial emergence of off-diagonal long-range order throughout the BCS-BEC crossover, Phys. Rev. B 105, 054505 (2022).10.1103/PhysRevB.105.054505CrossRefGoogle Scholar
Salpeter, E. E. and Bethe, H. A., A relativistic equation for bound-state problems, Phys. Rev. 84, 1232 (1951).10.1103/PhysRev.84.1232CrossRefGoogle Scholar
Hansen, T. and Pullerits, T., Nonlinear response theory on the Keldysh contour, J. Phys. B: At. Mol. Opt. Phys. 45, 154014 (2012).Google Scholar
Goulko, O., Mishchenko, A. S., Pollet, L., Prokofèv, N., and Svistunov, B., Numerical analytic continuation: Answers to well-posed questions, Phys. Rev. B 95, 014102 (2017).10.1103/PhysRevB.95.014102CrossRefGoogle Scholar
Chaikin, P. M. and Lubensky, T. C., Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1997), Chapter 4.Google Scholar
Bardeen, J., Cooper, L. N., and Schrieffer, J. R., Theory of superconductivity, Phys. Rev. 108, 1175 (1957).10.1103/PhysRev.108.1175CrossRefGoogle Scholar
Laughlin, R. B., Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations, Phys. Rev. Lett. 50, 1395 (1983).10.1103/PhysRevLett.50.1395CrossRefGoogle Scholar
Bransden, B. H. and Joachain, C. J., Physics of Atoms and Molecules (Longman Scientific & Technical, Harlow, 1994), Chapter 7.Google Scholar
Hartree, D. R., The wave mechanics of an atom with a non-Coulomb central field. Part II. Some results and discussion, Proc. Cambridge Phil. Soc. 24, 111 (1928).Google Scholar
Dalgarno, A. and Victor, G. A., The time-dependent-coupled Hartree-Fock approximation, Proc. Royal Soc. 291, 1425 (1966).Google Scholar
Bonche, P., Koonin, S., and Negele, J. W., One-dimensional nuclear dynamics in the time-dependent Hartree-Fock approximation, Phys. Rev. C 13, 1226 (1976).10.1103/PhysRevC.13.1226CrossRefGoogle Scholar
Yang, C. N., Concept of off-diagonal long-range order and the quantum phases of liquid He and of superconductors, Rev. Mod. Phys. 34, 694 (1962).10.1103/RevModPhys.34.694CrossRefGoogle Scholar
Anderson, P. W., More is different, Science 177, 393 (1972).10.1126/science.177.4047.393CrossRefGoogle ScholarPubMed
Nambu, Y. and Jona-Lasinio, G., Dynamical model of elementary particles based on an analogy with superconductivity. I, Phys. Rev. 122, 345 (1961).Google Scholar
Nambu, Y., Quasi-particles and gauge invariance in the theory of superconductivity, Phys. Rev. 117, 648 (1960).10.1103/PhysRev.117.648CrossRefGoogle Scholar
Calvanese Strinati, G., BCS and Eliashberg Theories, Proceedings of the International School of Physics “Enrico Fermi” Course CXXXVI, Iadonisi, G., Schrieffer, J. R., and Chiofalo, M. L., Eds. (IOS Press, Amsterdam, 1998).Google Scholar
Haussmann, R., Crossover from BCS superconductivity to Bose-Einstein condensation: A self-consistent theory, Z. Phys. B: Condens. Matter 91, 291 (1993).Google Scholar
Haussmann, R., Properties of a Fermi liquid at the superfluid transition in the crossover region between BCS superconductivity and Bose-Einstein condensation, Phys. Rev. B 49, 12975 (1994).10.1103/PhysRevB.49.12975CrossRefGoogle ScholarPubMed
Andrenacci, N., Pieri, P., and Calvanese Strinati, G., Evolution from BCS superconductivity to Bose-Einstein condensation: Current correlation function in the broken symmetry phase, Phys. Rev. B 68, 144507 (2003).10.1103/PhysRevB.68.144507CrossRefGoogle Scholar
Pieri, P., Pisani, L., and Calvanese Strinati, G., BCS-BEC crossover at finite temperature in the broken-symmetry phase, Phys. Rev. B 70, 094508 (2004).10.1103/PhysRevB.70.094508CrossRefGoogle Scholar
Haussmann, R., Punk, M., and Zwerger, W., Spectral functions and rf response of ultracold fermionic atoms, Phys. Rev. A 80, 063612 (2009).10.1103/PhysRevA.80.063612CrossRefGoogle Scholar
De Gennes, P. G., Superconductivity of Metals and Alloys (W. A. Benjamin, New York, 1966).Google Scholar
Rodberg, L. S. and Thaler, R. M., Introduction to the Quantum Theory of Scattering (Academic Press, New York, 1967).Google Scholar
Zhu, J.-X., Bogoliubov-de Gennes Method and Its Applications, Lecture Notes in Physics Vol. 924 (Springer International Publishing, Cham, Switzerland, 2016).Google Scholar
Pieri, P. and Calvanese Strinati, G., Derivation of the Gross-Pitaevskii equation for condensed bosons from the Bogoliubov–de Gennes equations for superfluid fermions, Phys. Rev. Lett. 91, 030401 (2003).10.1103/PhysRevLett.91.030401CrossRefGoogle ScholarPubMed
Simonucci, S., Pieri, P., and Calvanese Strinati, G., Temperature dependence of a vortex in a superfluid Fermi gas, Phys. Rev. B 87, 214507 (2013).10.1103/PhysRevB.87.214507CrossRefGoogle Scholar
Tilley, D. R. and Tilley, J., Superfluidity and Superconductivity (Adam Hilger, Bristol, 1986).Google Scholar
Schafroth, M. R., Butler, S. T., and Blatt, J. M., Quasi-chemical equilibrium model to superconductivity, Helv. Phys. Acta 30, 93 (1957).Google Scholar
Keldysh, L. V. and Kopaev, Y. V., Possible instability of the semimetallic state toward Coulomb interaction, Sov. Phys. Solid State 6, 2219 (1965) [Fiz. Tverd. Tela (Leningrad) 6, 2791 (1964)].Google Scholar
Popov, V. N., Theory of a Bose gas produced by bound states of Fermi particles, Sov. Phys. JETP 23, 1034 (1966) [ Zh. Eksp. Teor. Fiz. 50, 1550 (1966)].Google Scholar
Eagles, D. M., Possible pairing without superconductivity at low carrier concentrations in bulk and thin-film superconducting semiconductors, Phys. Rev. 186, 456 (1969).10.1103/PhysRev.186.456CrossRefGoogle Scholar
Leggett, A. J., Diatomic molecules and Cooper pairs, in Pekalski, A. and Przystawa, R., Eds., Modern Trends in the Theory of Condensed Matter, Lecture Notes in Physics (Springer-Verlag, Berlin, 1980), Vol. 115, p. 13.Google Scholar
Nozières, P. and Schmitt-Rink, S., Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity, J. Low Temp. Phys. 59, 195 (1985).10.1007/BF00683774CrossRefGoogle Scholar
Pitaevskii, L. and Stringari, S., Bose-Einstein Condensation (Clarendon Press, Oxford, 2003).Google Scholar
Pethick, C. J. and Smith, H., Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2008).10.1017/CBO9780511802850CrossRefGoogle Scholar
Giorgini, S., Pitaevskii, L. P., and Stringari, S., Theory of ultracold atomic Fermi gases, Rev. Mod. Phys. 80, 1215 (2008).10.1103/RevModPhys.80.1215CrossRefGoogle Scholar
Zwerger, W., Ed., The BCS-BEC Crossover and the Unitary Fermi Gas, Lecture Notes in Physics Vol. 836 (Springer-Verlag, Berlin, 2012).Google Scholar
Chen, Q., Wang, Z., Boyack, R., and Levin, K., When superconductivity crosses over: From BCS to BEC, Rev. Mod. Phys. 96, 025002 (2024).10.1103/RevModPhys.96.025002CrossRefGoogle Scholar
Pisani, L., Moshe, A. G., Pieri, P., Calvanese Strinati, G., and Deutscher, G., Tunneling spectra of unconventional quasi-two-dimensional superconductors, Phys. Rev. B 110, L100506 (2024).10.1103/PhysRevB.110.L100506CrossRefGoogle Scholar
Fano, U., Effects of configuration interaction on intensities and phase shifts, Phys. Rev. 124, 1866 (1961).Google Scholar
Feshbach, H., A unified theory of nuclear reactions. II, Ann. Phys. 19, 287 (1962).10.1016/0003-4916(62)90221-XCrossRefGoogle Scholar
Chin, C., Grimm, R., Julienne, P., and Tiesinga, E., Feshbach resonances in ultracold gases, Rev. Mod. Phys. 82, 1225 (2010).10.1103/RevModPhys.82.1225CrossRefGoogle Scholar
Josephson, B. D., Possible new effects in superconductive tunnelling, Phys. Lett. 1, 251 (1962).10.1016/0031-9163(62)91369-0CrossRefGoogle Scholar
Barone, A. and Paternò, G., Physics and Applications of the Josephson Effect (J. Wiley & Sons, New York, 1982).10.1002/352760278XCrossRefGoogle Scholar
Spuntarelli, A., Pieri, P., and Calvanese Strinati, G., Solution of the Bogoliubov-de Gennes equations at zero temperature throughout the BCS-BEC crossover: Josephson and related effects, Phys. Rep. 488, 111 (2010).10.1016/j.physrep.2009.12.005CrossRefGoogle Scholar
Kwon, W. J., Del Pace, G., Panza, R., Inguscio, M., Zwerger, W., Zaccanti, M., Scazza, F., and Roati, G., Strongly correlated superfluid order parameters from dc Josephson supercurrents, Science 369, 84 (2020).10.1126/science.aaz2463CrossRefGoogle ScholarPubMed
Del Pace, G., Kwon, W. J., Zaccanti, M., Roati, G., and Scazza, F., Tunneling transport of unitary fermions across the superfluid transition, Phys. Rev. Lett. 126, 055301 (2021).10.1103/PhysRevLett.126.055301CrossRefGoogle ScholarPubMed
Calvanese Strinati, G., A survey on the crossover from BCS superconductivity to Bose-Einstein condensation, Phys. Essays 13, 427 (2000).Google Scholar
Marini, M., Pistolesi, F., and Calvanese Strinati, G., Evolution from BCS superconductivity to Bose condensation: Analytic results for the crossover in three dimensions, Eur. Phys. J. B 1, 151 (1998).10.1007/s100510050165CrossRefGoogle Scholar
Pistolesi, F. and Calvanese Strinati, G., Evolution from BCS superconductivity to Bose condensation: Role of the parameter kFξ, Phys. Rev. B 49, 6356 (1994).10.1103/PhysRevB.49.6356CrossRefGoogle Scholar
Perali, A., Pieri, P., Calvanese Strinati, G., and Castellani, C., Pseudogap and spectral function from superconducting fluctuations to the bosonic limit, Phys. Rev. B 66, 024510 (2002).10.1103/PhysRevB.66.024510CrossRefGoogle Scholar
Pieri, P. and Calvanese Strinati, G., Strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation, Phys. Rev. B 61, 15370 (2000).10.1103/PhysRevB.61.15370CrossRefGoogle Scholar
Pini, M., Pieri, P., and Calvanese Strinati, G., Evolution of an attractive polarized Fermi gas: From a Fermi liquid of polarons to a non-Fermi liquid at the Fulde-Ferrell-Larkin-Ovchinnikov quantum critical point, Phys. Rev. B 107, 054505 (2023).10.1103/PhysRevB.107.054505CrossRefGoogle Scholar
Perali, A., Pieri, P., Pisani, L., and Calvanese Strinati, G., BCS-BEC crossover at finite temperature for superfluid trapped Fermi atoms, Phys. Rev. Lett. 92, 220404 (2004).10.1103/PhysRevLett.92.220404CrossRefGoogle ScholarPubMed
Pini, M., Pieri, P, Jäger, M., Hecker Denschlag, J., and Calvanese Strinati, G., Pair correlations in the normal phase of an attractive Fermi gas, New J. Phys. 22, 083008 (2020).10.1088/1367-2630/ab9ee3CrossRefGoogle Scholar
Calvanese Strinati, G., Recent advances in the theory of the BCS–BEC crossover for fermionic superfluidity, Physica C: Supercond. Appl. 614, 1354377 (2023).Google Scholar
Dyke, P., Musolino, S., Kurkjian, H., Ahmed-Braun, D. J. M., Pennings, A., Herrera, I., Hoinka, S., S. J. J. M. F. Kokkelmans, V. E. Colussi, and C. J. Vale, Higgs oscillations in a unitary Fermi superfluid, Phys. Rev. Lett. 132, 223402 (2024).10.1103/PhysRevLett.132.223402CrossRefGoogle Scholar
Pistolesi, F. and Calvanese Strinati, G., Evolution from BCS superconductivity to Bose condensation: Calculation of the zero-temperature phase coherence length, Phys. Rev. B 53, 15168 (1996).10.1103/PhysRevB.53.15168CrossRefGoogle Scholar
Gor’kov, L. P., Microscopic derivation of the Ginzburg-Landau equations in the theory of superconductivity, Sov. Phys. JETP 36, 1364 (1959) [Zh. Eksp. Teor. Fiz. 36, 1918 (1959)].Google Scholar
Baranov, M. A. and Petrov, D. S., Critical temperature and Ginzburg-Landau equation for a trapped Fermi gas, Phys. Rev. A 58, R801 (1998).10.1103/PhysRevA.58.R801CrossRefGoogle Scholar
Simonucci, S. and Calvanese Strinati, G., Equation for the superfluid gap obtained by coarse graining the Bogoliubov-deGennes equations throughout the BCS-BEC crossover, Phys. Rev. B 89, 054511 (2014).10.1103/PhysRevB.89.054511CrossRefGoogle Scholar
Petrov, D. S., Salomon, C., and Shlyapnikov, G. V., Scattering properties of weakly bound dimers of fermionic atoms, Phys. Rev. A 71, 012708 (2005).10.1103/PhysRevA.71.012708CrossRefGoogle Scholar
Brodsky, I. V., Kagan, M. Y., Klaptsov, A. V., Combescot, R., and Leyronas, X., Exact diagrammatic approach for dimer-dimer scattering and bound states of three and four resonantly interacting particles, Phys. Rev. A 73, 032724 (2006).10.1103/PhysRevA.73.032724CrossRefGoogle Scholar
Dalfovo, F., Giorgini, S., Pitaevskii, L. P., and Stringari, S., Theory of Bose-Einstein condensation in trapped gases, Rev. Mod. Phys. 71, 463 (1999).10.1103/RevModPhys.71.463CrossRefGoogle Scholar
Simonucci, S., Pieri, P., and Calvanese Strinati, G., Vortex arrays in neutral trapped Fermi gases through the BCS-BEC crossover, Nat. Phys. 11, 941 (2015).10.1038/nphys3449CrossRefGoogle Scholar
Simonucci, S. and Calvanese Strinati, G., Nonlocal equation for the superconducting gap parameter, Phys. Rev. B 96, 054502 (2017).10.1103/PhysRevB.96.054502CrossRefGoogle Scholar
Piselli, V., Simonucci, S., and Calvanese Strinati, G., Optimizing the proximity effect along the BCS side of the BCS-BEC crossover, Phys. Rev. B 98, 144508 (2018).10.1103/PhysRevB.98.144508CrossRefGoogle Scholar
Piselli, V., Simonucci, S., and Calvanese Strinati, G., Josephson effect at finite temperature along the BCS-BEC crossover, Phys. Rev. B 102, 144517 (2020).10.1103/PhysRevB.102.144517CrossRefGoogle Scholar
Pisani, L., Piselli, V., and Calvanese Strinati, G., Inclusion of pairing fluctuations in the differential equation for the gap parameter for superfluid fermions in the presence of nontrivial spatial constraints, Phys. Rev. B 108, 214503 (2023).10.1103/PhysRevB.108.214503CrossRefGoogle Scholar
Piselli, V., Pisani, L., and Calvanese Strinati, G., Josephson current flowing through a nontrivial geometry: Role of pairing fluctuations across the BCS-BEC crossover, Phys. Rev. B 108, 214504 (2023).10.1103/PhysRevB.108.214504CrossRefGoogle Scholar
Pisani, L., Piselli, V., and Calvanese Strinati, G., Critical current throughout the BCS-BEC crossover with the inclusion of pairing fluctuations, Phys. Rev. A 109, 033306 (2024).10.1103/PhysRevA.109.033306CrossRefGoogle Scholar
This property can be traced to a theorem for integrals depending on a complex parameter, as discussed in V. I. Smirnov, A Course of Higher Mathematics, Vol. 3, Part 2 (Pergamon Press, Oxford, 1964), Sec. 70.Google Scholar
Abrahams, E. and Tsuneto, T., Time variation of the Ginzburg-Landau order parameter, Phys. Rev. 152, 416 (1966).10.1103/PhysRev.152.416CrossRefGoogle Scholar
Anderson, P. W., Coherent excited states in the theory of superconductivity: Gauge invariance and the Meissner effect, Phys. Rev. 110, 827 (1958).10.1103/PhysRev.110.827CrossRefGoogle Scholar
Xhani, K., Neri, E., Galantucci, L., Scazza, F., Burchianti, A., Lee, K.-L., Barenghi, C. F., Trombettoni, A., Inguscio, M., Zaccanti, M., Roati, G., and Proukakis, N. P., Critical transport and vortex dynamics in a thin atomic Josephson junction, Phys. Rev. Lett. 124, 045301 (2020).10.1103/PhysRevLett.124.045301CrossRefGoogle Scholar
Magnus, W., Oberhettinger, F., and Soni, R. P., Formulas and Theorems for the Special Functions of Mathematical Physics (Springer-Verlag, New York, 1966).10.1007/978-3-662-11761-3CrossRefGoogle Scholar
Di Castro, C. and Young, W., Density-matrix methods and time dependence of order parameter in superconductors, Nuovo Cimento B 62, 273 (1969).10.1007/BF02710138CrossRefGoogle Scholar
Xue, C., Wang, Q.-Y., Ren, H.-X., He, A., and Silhanek, A. V., Case studies on time-dependent Ginzburg-Landau simulations for superconducting applications, Electromagn. Sci. 2, 0060121 (2024), and references therein.Google Scholar
Vidberg, H. J. and Serene, J. W., Solving the Eliashberg equations by means of N-point Padé approximants, J. Low Temp. Phys. 29, 179 (1977).10.1007/BF00655090CrossRefGoogle Scholar
Dong, X.. E. Gull, and H. U. R. Strand, Excitations and spectra from equilibrium real-time Green’s functions, Phys. Rev. B 106, 125153 (2022).10.1103/PhysRevB.106.125153CrossRefGoogle Scholar
Johansen, C. H., Frank, B., and Lang, J., Spectral functions of the strongly interacting three-dimensional Fermi gas, Phys. Rev. A 109, 023324 (2024).10.1103/PhysRevA.109.023324CrossRefGoogle Scholar
Enss, T., Particle and pair spectra for strongly correlated Fermi gases: A real-frequency solver, Phys. Rev. A 109, 023325 (2024).10.1103/PhysRevA.109.023325CrossRefGoogle Scholar
Dizer, E., Horak, J., and Pawlowski, J. M., Spectral properties and observables in ultracold Fermi gases, Phys. Rev. A 109, 063311 (2024).10.1103/PhysRevA.109.063311CrossRefGoogle Scholar
Gradshteyn, I. S. and Ryzhik, I. M., Tables of Integrals, Series, and Products (Academic Press, San Diego, 1980).Google Scholar
Ossiander, M., Golyari, K., Scharl, K., Lehnert, L., Siegrist, F., Bürger, J. P., Zimin, D., Gessner, J. A., Weidman, M., Floss, I., Smejkal, V., Donsa, S., Lemell, C., Libisch, F., Karpowicz, N., Burgdörfer, J., Krausz, F., and Schultze, M., The speed limit of optoelectronics, Nat. Comm. 13, 1620 (2022).10.1038/s41467-022-29252-1CrossRefGoogle Scholar
Lloyd-Hughes, J., Oppeneer, P. M., T. Pereira dos Santos, A. Schleife, S. Meng, M. A. Sentef, M. Ruggenthaler, A. Rubio, I. Radu, M. Murnane, X. Shi, H. Kapteyn, B. Stadtmüller, K. M. Dani, F. H. da Jornada, E. Prinz, M. Aeschlimann, R. L. Milot, M. Burdanova, J. Boland, T. Cocker, and F. Hegmann, The 2021 ultrafast spectroscopic probes of condensed matter roadmap, J. Phys. Condens. Matter 33, 353001 (2021).Google Scholar
Bocchieri, P. and Loinger, A., Quantum recurrence theorem, Phys. Rev. 107, 337 (1957).10.1103/PhysRev.107.337CrossRefGoogle Scholar
Schneider, U., Hackermüller, L., Ronzheimer, J. P., Will, S., Braun, S., Best, T., Bloch, I., Demler, E., Mandt, S., Rasch, D., and Rosch, A., Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms, Nat. Phys. 8, 213 (2012).10.1038/nphys2205CrossRefGoogle Scholar
Caroli, C., Combescot, R., Nozières, P., and Saint-James, D., Direct calculation of the tunneling current, J. Phys. C Solid St. Phys. 4, 916 (1971).Google Scholar
Meir, Y. and Wingreen, N. S., Landauer formula for the current through an interacting electron region, Phys. Rev. Lett. 68, 2512 (1992).10.1103/PhysRevLett.68.2512CrossRefGoogle ScholarPubMed
Jauho, A. P., Wingreen, N. S., and Meir, Y., Time-dependent transport in interacting and noninteracting resonant-tunneling systems, Phys. Rev. B 50, 5528 (1994).10.1103/PhysRevB.50.5528CrossRefGoogle ScholarPubMed
Ridley, M., MacKinnon, A., and Kantorovich, L., Current through a multilead nanojunction in response to an arbitrary time-dependent bias, Phys. Rev. B 91, 125433 (2015).10.1103/PhysRevB.91.125433CrossRefGoogle Scholar
Tuovinen, R., van Leeuwen, R., Perfetto, E., and Stefanucci, G., Time-dependent Landauer Büttiker formula for transient dynamics, J. Phys. Conf. Ser. 427, 012014 (2013).10.1088/1742-6596/427/1/012014CrossRefGoogle Scholar
Latini, S., Perfetto, E., Uimonen, A.-M., van Leeuwen, R., and Stefanucci, G., Charge dynamics in molecular junctions: Nonequilibrium Green’s function approach made fast, Phys. Rev. B 89, 075306 (2014).10.1103/PhysRevB.89.075306CrossRefGoogle Scholar
Ridley, M., Talarico, N. W., Karlsson, D., Lo Gullo, N., and Tuovinen, R., A many-body approach to transport in quantum systems: From the transient regime to the stationary state, J. Phys. A Math. Theor. 55, 273001 (2022), and references therein.10.1088/1751-8121/ac7119CrossRefGoogle Scholar
Pellegrini, C., Marinelli, A., and Reiche, S., The physics of x-ray free-electron lasers, Rev. Mod. Phys. 88, 015006 (2016).10.1103/RevModPhys.88.015006CrossRefGoogle Scholar
Caroli, C., Lederer-Rozenblatt, D., Roulet, B., and Saint-James, D., Inelastic effects in photoemission: Microscopic formulation and qualitative discussion, Phys. Rev. B 8, 4552 (1973).10.1103/PhysRevB.8.4552CrossRefGoogle Scholar
Feidt, M., Mathias, S., and Aeschlimann, M., Development of an analytical simulation framework for angle-resolved photoemission spectra, Phys. Rev. Mater. 3, 123801 (2019).Google Scholar
Freericks, J. K., Krishnamurthy, H. R., and Pruschke, Th, Theoretical description of time-resolved photoemission spectroscopy: Application to pump-probe experiments, Phys. Rev. Lett. 102, 136401 (2009).10.1103/PhysRevLett.102.136401CrossRefGoogle ScholarPubMed
Braun, J., Rausch, R., Potthoff, M., Minár, J., and Ebert, H., One-step theory of pump-probe photoemission, Phys. Rev. B 91, 035119 (2015).10.1103/PhysRevB.91.035119CrossRefGoogle Scholar
Freericks, J. K., Krishnamurthy, H. R., Sentef, M. A., and Devereaux, T. P., Gauge invariance in the theoretical description of time-resolved angle-resolved pump/probe photoemission spectroscopy, Phys. Scr. T165, 014012 (2015).10.1088/0031-8949/2015/T165/014012CrossRefGoogle Scholar
Bertoncini, R. and Jauho, A. P., Gauge-invariant formulation of the intracollisional field effect including collisional broadening, Phys. Rev. B 44, 3655 (1991).10.1103/PhysRevB.44.3655CrossRefGoogle ScholarPubMed
Perfetto, E., Sangalli, D., Marini, A., and Stefanucci, G., First-principles approach to excitons in time-resolved and angle-resolved photoemission spectra, Phys. Rev. B 94, 245303 (2016).10.1103/PhysRevB.94.245303CrossRefGoogle Scholar
Chan, Y.-H., Qiu, D. Y., da Jornada, F. H., and Louie, S. G., Giant self-driven exciton-Floquet signatures in time-resolved photoemission spectroscopy of MoS2 from time-dependent GW approach, arXiv:2302.01719.Google Scholar
Gosetti, V., Cervantes-Villanueva, J., Mor, S., Sangalli, D., García-Cristóbal, A., Molina-Sánchez, A., Agekyan, V. F., Tuniz, M., Puntel, D., Bronsch, W., Cilento, F., and Pagliara, S., Unveiling exciton formation: Exploring the early stages in time, energy and momentum domain, arXiv:2412.02507.Google Scholar
Rossi, T. C., Qiao, L., Dykstra, C. P., Rodrigues Pela, R., Gnewkow, R., Wallick, R. F., Burke, J. H., Nicholas, E., March, A-M., Doumy, G., Buchholz, D. B., Deparis, C., Zuñiga-Pérez, J., Weise, M., Ellmer, K., Fondell, M., Draxl, C., and van der Veen, R. M., Ultrafast dynamic Coulomb screening of X-ray core excitons in photoexcited semiconductors, arXiv:2412.01945.Google Scholar
Strinati, G., Dynamical shift and broadening of core excitons in semiconductors, Phys. Rev. Lett. 49, 1519 (1982).10.1103/PhysRevLett.49.1519CrossRefGoogle Scholar
Strinati, G., Effects of dynamical screening on resonances at inner-shell thresholds in semiconductors, Phys. Rev. B 29, 5718 (1984).10.1103/PhysRevB.29.5718CrossRefGoogle Scholar
Budden, M.,Gebert, T., Buzzi, M., Jotzu, G., Wang, E., Matsuyama, T., Meier, G., Laplace, Y., Pontiroli, D., Riccò, M., Schlawin, F., Jaksch, D., and Cavalleri, A., Evidence for metastable photo-induced superconductivity in K3C60, Nat. Phys. 17, 611 (2021).10.1038/s41567-020-01148-1CrossRefGoogle Scholar
Rowe, E., Yuan, B., Buzzi, M., Jotzu, G., Zhu, Y., Fechner, M., Först, M., Liu, B., Pontiroli, D., Riccò, M., and Cavalleri, A., Resonant enhancement for photo-induced superconductivity in K3C60, Nat. Phys. 19, 1821 (2023).Google Scholar
Kemper, A. F., Sentef, M. A., Moritz, B., Freericks, J. K., and Devereaux, T. P., Direct observation of Higgs mode oscillations in the pump-probe photoemission spectra of electron-phonon mediated superconductors, Phys. Rev. B 92, 224517 (2015).10.1103/PhysRevB.92.224517CrossRefGoogle Scholar
Kemper, A. F., Sentef, M. A., Moritz, B., Devereaux, T. P., and Freericks, J. K., Review of the theoretical description of time-resolved angle-resolved photoemission spectroscopy in electron-phonon mediated superconductors, Ann. Phys. (Berlin) 529, 1600235 (2017).10.1002/andp.201600235CrossRefGoogle Scholar
Revelle, J. P., Kumar, A., and Kemper, A. F., Theory of time-resolved optical conductivity of superconductors: Comparing two methods for its evaluation, Condens. Matter 4, 79 (2019).10.3390/condmat4030079CrossRefGoogle Scholar
Eisert, J., Friesdorf, M., and Gogolin, C., Quantum many-body systems out of equilibrium, Nat. Phys. 11, 124 (2015).10.1038/nphys3215CrossRefGoogle Scholar
Eigen, C., Glidden, J. A. P., Lopes, R., Cornell, E. A., Smith, R. P., and Hadzibabic, Z., Universal prethermal dynamics of Bose gases quenched to unitarity, Nature 563, 221 (2018).10.1038/s41586-018-0674-1CrossRefGoogle ScholarPubMed
Lo Gullo, N. and Dell’Anna, L., Self-consistent Keldysh approach to quenches in the weakly interacting Bose-Hubbard model, Phys. Rev. B 94, 184308 (2016).10.1103/PhysRevB.94.184308CrossRefGoogle Scholar
Haldar, A., Haldar, P., Bera, S., Mandal, I., and Banerjee, S., Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transition, Phys. Rev. Res. 2, 013307 (2020).Google Scholar
Supplemental Material for Ref. [181].Google Scholar
Banerjee, S. and Altman, E., Solvable model for a dynamical quantum phase transition from fast to slow scrambling, Phys. Rev. B 95, 134302 (2017).10.1103/PhysRevB.95.134302CrossRefGoogle Scholar
Lindblad, G., On the generators of quantum dynamical semigroups, Commun. Math. Phys. 48, 119 (1976).10.1007/BF01608499CrossRefGoogle Scholar
Manzano, D., A short introduction to the Lindblad master equation, AIP Advances 10, 025106 (2020).10.1063/1.5115323CrossRefGoogle Scholar
Breuer, H.-P. and Petruccione, F., The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2003).Google Scholar
Landi, G. T., Poletti, D., and Schaller, G., Non-equilibrium boundary-driven quantum systems: Models, methods, and properties, Rev. Mod. Phys. 94, 045006 (2022).10.1103/RevModPhys.94.045006CrossRefGoogle Scholar
Goto, H., Quantum computation based on quantum adiabatic bifurcations of Kerr-nonlinear parametric oscillators, J. Phys. Soc. Jpn. 88, 061015 (2019).10.7566/JPSJ.88.061015CrossRefGoogle Scholar
Calvanese Strinati, M. and Conti, C., Non-Gaussianity in the quantum parametric oscillator, Phys. Rev. A 109, 063519 (2024).10.1103/PhysRevA.109.063519CrossRefGoogle Scholar
Pastawski, H. M., Classical and quantum transport from generalized Landauer-Büttiker equations. II. Time-dependent resonant tunneling, Phys. Rev. B 46, 4053 (1992).10.1103/PhysRevB.46.4053CrossRefGoogle ScholarPubMed
Arrachea, L., Exact Green’s function renormalization approach to spectral properties of open quantum systems driven by harmonically time-dependent fields, Phys. Rev. B 75, 035319 (2007).10.1103/PhysRevB.75.035319CrossRefGoogle Scholar
Xu, T., Morimoto, T., Lanzara, A., and Moore, J. E., Efficient prediction of time- and angle-resolved photoemission spectroscopy measurements on a nonequilibrium BCS superconductor, Phys. Rev. B 99, 035117 (2019).10.1103/PhysRevB.99.035117CrossRefGoogle Scholar
Ojeda Collado, H. P., Usaj, G., Lorenzana, J., and Balseiro, C. A., Fate of dynamical phases of a BCS superconductor beyond the dissipationless regime, Phys. Rev. B 99, 174509 (2019).10.1103/PhysRevB.99.174509CrossRefGoogle Scholar
Sieberer, L. M., Buchhold, M., and Diehl, S., Keldysh field theory for driven open quantum systems, Rep. Prog. Phys. 79, 096001 (2016).10.1088/0034-4885/79/9/096001CrossRefGoogle ScholarPubMed
Müller, C. and Stace, T. M., Deriving Lindblad master equations with Keldysh diagrams: Correlated gain and loss in higher order perturbation theory, Phys. Rev. B 95, 013847 (2017).Google Scholar
Nakajima, S., On quantum theory of transport phenomena: Steady diffusion, Progr. Theor. Phys. 20, 948 (1958).10.1143/PTP.20.948CrossRefGoogle Scholar
Zwanzig, R., Ensemble method in the theory of irreversibility, J. Chem. Phys. 33, 1338 (1960).10.1063/1.1731409CrossRefGoogle Scholar
Messiah, A., Quantum Mechanics (Dover Publications, Mineola, 2014), Chapter XXI, Sec. 13.Google Scholar
Kubo, R., Toda, M., and Hashitsume, N., Statistical Physics II. Nonequilibrium Statistical Mechanics (Springer-Verlag, Heidelberg, 1995), Sec. 2.5.Google Scholar
Myöhänen, P., Stan, A., Stefanucci, G., and van Leeuwen, R., Kadanoff-Baym approach to quantum transport through interacting nanoscale systems: From the transient to the steady-state regime, Phys. Rev. B 80, 115107 (2009).10.1103/PhysRevB.80.115107CrossRefGoogle Scholar
Cini, M., Time-dependent approach to electron transport through junctions: General theory and simple applications, Phys. Rev. B 22, 5887 (1980).10.1103/PhysRevB.22.5887CrossRefGoogle Scholar
Verzijl, C. J. O., Seldenthuis, J. S., and Thijssen, J. M., Applicability of the wide-band limit in DFT-based molecular transport calculations, J. Chem. Phys. 138, 094102 (2013).10.1063/1.4793259CrossRefGoogle ScholarPubMed
Stefanucci, G., Kadanoff-Baym equations for interacting systems with dissipative Lindbladian dynamics, Phys. Rev. Lett. 133, 066901 (2024).10.1103/PhysRevLett.133.066901CrossRefGoogle ScholarPubMed
Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions (National Bureau of Standards, Washington DC, 1972).Google Scholar
Cohen, A. M., Numerical Methods for Laplace Transform Inversion (Springer, New York, 2010).Google Scholar
Schlimgen, A. W., Head-Marsden, K., Sager, L. M., Narang, P., and Mazziotti, D. A., Quantum simulation of the Lindblad equation using a unitary decomposition of operators, Phys. Rev. Res. 4, 023216 (2022).Google Scholar
Guff, T., Shastry, C. U., and Rocco, A., Emergence of opposing arrows of time in open quantum systems, Sci. Rep. 15, 3658 (2025).10.1038/s41598-025-87323-xCrossRefGoogle ScholarPubMed
Leng, X., Jin, F., Wei, M., and Ma, Y., GW method and Bethe-Salpeter equation for calculating electronic excitations, Comput. Mol. Sci. 6, 532 (2016).Google Scholar
Authier, J. and Loos, P.-F., Dynamical kernels for optical excitations, J. Chem. Phys. 153, 184105 (2020).10.1063/5.0028040CrossRefGoogle ScholarPubMed
Stan, A., Dahlen, N. E., and van Leeuwen, R., Time propagation of the Kadanoff–Baym equations for inhomogeneous systems, J. Chem. Phys. 130, 224101 (2009).10.1063/1.3127247CrossRefGoogle ScholarPubMed
Schüler, M., Denis Golež, Y. Murakami, N. Bittner, A. Herrmann, H. U. R. Strand, P. Werner, , and Eckstein, M., NESSi: The Non-Equilibrium Systems Simulation package, Comp. Phys. Comm. 257, 107484 (2020).Google Scholar
Lipavský, P., Špička, V., and Velický, B., Generalized Kadanoff-Baym ansatz for deriving quantum transport equations, Phys. Rev. B 34, 6933 (1986).10.1103/PhysRevB.34.6933CrossRefGoogle Scholar
Joost, J-P., Schlünzen, N., and Bonitz, M., G1-G2 scheme: Dramatic acceleration of nonequilibrium Green functions simulations within the Hartree-Fock generalized Kadanoff-Baym ansatz, Phys. Rev. B 101, 245101 (2020).10.1103/PhysRevB.101.245101CrossRefGoogle Scholar
Tuovinen, R., Pavlyukh, Y., Perfetto, E., and Stefanucci, G., Time-linear quantum transport simulations with correlated nonequilibrium Green’s functions, Phys. Rev. Lett. 130, 246301 (2023).10.1103/PhysRevLett.130.246301CrossRefGoogle ScholarPubMed
Hermanns, S., Balzer, K., and Bonitz, M., The non-equilibrium Green function approach to inhomogeneous quantum many-body systems using the generalized Kadanoff–Baym ansatz, Phys. Scripta T151, 014036 (2012).Google Scholar
Karlsson, D., van Leeuwen, R., Perfetto, E., and Stefanucci, G., The generalized Kadanoff-Baym ansatz with initial correlations, Phys. Rev. B 98, 115148 (2018).10.1103/PhysRevB.98.115148CrossRefGoogle Scholar
Pavlyukh, Y. and Tuovinen, R., Open system dynamics in linear-time beyond the wide-band limit, arXiv:2502.04855.Google Scholar
Breuer, H-P., Laine, E-M., Piilo, J., and Vacchini, B., Colloquium: Non-Markovian dynamics in open quantum systems, Rev. Mod. Phys. 88, 021002 (2016).10.1103/RevModPhys.88.021002CrossRefGoogle Scholar
Schrieffer, J. R. and Wolff, P. A., Relation between the Anderson and Kondo Hamiltonians, Phys. Rev. 149, 491 (1966).10.1103/PhysRev.149.491CrossRefGoogle Scholar
Burgarth, D., Facchi, P., Hillier, R., and Ligabò, M., Taming the rotating wave approximation, Quantum 8, 1262 (2024).10.22331/q-2024-02-21-1262CrossRefGoogle Scholar
Lamb, W. E., Jr. and R. C. Retherford, Fine structure of the hydrogen atom by a microwave method, Phys. Rev. 72, 241 (1947).10.1103/PhysRev.72.241CrossRefGoogle Scholar
Špička, V., Velický, B., and Kalvová, A., Long and short time quantum dynamics: I. Between Green’s functions and transport equations, Physica E 29, 154 (2005).Google Scholar
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