BEC to BCS Crossover from Superconductors to Polaritons

A. Edelman; P. B. Littlewood

doi:10.1017/9781316084366.014

12 - BEC to BCS Crossover from Superconductors to Polaritons

from Part II - General Topics

Published online by Cambridge University Press: 18 May 2017

A. Edelman and

Edited by

David W. Snoke and

A. Edelman: Affiliation:
James Franck Institute and Department of Physics, University of Chicago, Chicago, IL 60637, USA
P. B. Littlewood: Affiliation:
James Franck Institute and Department of Physics, University of Chicago, Chicago
Nick P. Proukakis: Affiliation:
Newcastle University
David W. Snoke: Affiliation:
University of Pittsburgh
Peter B. Littlewood: Affiliation:
University of Chicago

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Type: Chapter
Information: Universal Themes of Bose-Einstein Condensation , pp. 231 - 248

DOI: https://doi.org/10.1017/9781316084366.014 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2017

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References

[1] Randeria, M. 1995. Crossover from BCS theory to Bose-Einstein condensation. In: A., Griffin, D. W., Snoke, S., Stringari (eds), Bose-Einstein Condensation. Cambridge: Cambridge University Press.

[2] Alloing, M., Beian, M., Lewenstein, M., Fuster, D., González, Y., González, L., Combescot, R., Combescot, M., and Dubin, F. 2014. Evidence for a Bose-Einstein condensate of excitons. Europhys. Lett., 107, 10012.Google Scholar

[3] Randeria, M., Duan, J.-M.i, and Shieh, L.-Y. 1989. Bound states, Cooper pairing, and Bose condensation in two dimensions. Phys. Rev. Lett., 62, 981–984.

[4] Randeria, M., Duan, J.-M.i, and Shieh, L.-Y. 1990. Superconductivity in a twodimensional Fermi gas: evolution from Cooper pairing to Bose condensation. Phys. Rev. B, 41, 327–343.Google Scholar

[5] Fisher, Daniel, and Hohenberg, P. 1988. Dilute Bose gas in two dimensions. Phys. Rev. B, 37, 4936–4943.Google Scholar

[6] Fuchs, J. N., Recati, A., and Zwerger, W. 2004. Exactly solvable model of the BCSBEC crossover. Phys. Rev. Lett., 93, 090408.Google Scholar

[7] Tokatly, I. V. 2004. Dilute Fermi gas in quasi-one-dimensional traps: from weakly interacting fermions via hard core bosons to a weakly interacting Bose gas. Phys. Rev. Lett., 93, 090405.CrossRef Google Scholar

[8] Leggett, A. J. 1980. Diatomic molecules and Cooper pairs. In: A., Pkalski, J. A., Przystawa (eds), Modern Trends in the Theory of Condensed Matter, Proceedings of the XVI Karpacz Winter School. Berlin, Heidelberg, New York: Springer.

[9] Chin, C., Grimm, R., Julienne, P., and Tiesinga, E. 2010. Feshbach resonances in ultracold gases. Rev. Mod. Phys., 82, 1225–1286.Google Scholar

[10] Zwierlein, M. W., Abo-Shaeer, J. R., Schirotzek, A., Schunck, C. H., and Ketterle, W. 2005. Vortices and superfluidity in a strongly interacting Fermi gas. Nature, 435, 1047–1051.Google Scholar

[11] Parish, M. M., Mihaila, B., Timmermans, E. M., Blagoev, K. B., and Littlewood, P. B. 2005. BCS-BEC crossover with a finite-range interaction. Phys. Rev. B, 71, 064513.Google Scholar

[12] Ngampruetikorn, V., Levinsen, J., and Parish, M. M. 2013. Pair correlations in the two-dimensional Fermi gas. Phys. Rev. Lett., 111, 265301.Google Scholar

[13] Sommer, A. T., Cheuk, L. W., Ku, M. J. H., Bakr, W. S., and Zwierlein, M. W. 2012. Evolution of fermion pairing from three to two dimensions. Phys. Rev. Lett., 108, 045302.Google Scholar

[14] Levinsen, J., and Parish, M. M. 2015. Strongly interacting two-dimensional Fermi gases. In: Madison, K.W., Bongs, K., Carr, L., Rey, A. M. and Zhai, H. (Ed.), Annual Review of Cold Atoms and Molecules, Volume 3. World Scientific.

[15] Keldysh, L. V. 1995. Macroscopic coherent states of excitons in superconductors. In: A., Griffin, D. W., Snoke, S., Stringari (eds), Bose-Einstein Condensation. Cambridge: Cambridge University Press.

[16] Keldysh, L. V., and Kozlov, A. N. 1968. Collective properties of excitons in semiconductors. Soviet Physics JETP, 27, 521.Google Scholar

[17] Littlewood, P. B., and Zhu, X. 1996. Possibilities for exciton condensation in semiconductor quantum-well structures. Phys. Scr., 1996, 56–67.

[18] Zhu, X., Hybertsen, M. S., and Littlewood, P. B. 1996. Electron-hole system revisited: a variational quantum Monte Carlo study. Phys. Rev. B, 54, 13575–13580.Google Scholar

[19] Hanamura, E., and Haug, H. 1977. Condensation effects of excitons. Physics Reports, 33, 209–284.Google Scholar

[20] Yoshioka, K., Morita, Y., Fukuoka, K., and Kuwata-Gonokami, M. 2013. Generation of ultracold paraexcitons in cuprous oxide: a path toward a stable Bose-Einstein condensate. Phys. Rev. B, 88, 041201.Google Scholar

[21] Stolz, H., Schwartz, R., Kieseling, F., Som, S., Kaupsch, M., Sobkowiak, S., Semkat, D., Naka, N., Koch, T., and Fehske, H. 2012. Condensation of excitons in Cu2O at ultracold temperatures: experiment and theory. New J. Phys., 14, 105007.Google Scholar

[22] Yoshioka, Kosuke, Chae, Eunmi, and Kuwata-Gonokami, Makoto. 2011. Transition to a Bose-Einstein condensate and relaxation explosion of excitons at sub-Kelvin temperatures. Nat. Comm., 2, 328.

[23] High, A. A., Leonard, J. R., Hammack, A. T., Fogler, M. M., Butov, L. V., Kavokin, A. V., Campman, K. L., and Gossard, A. C. 2012. Spontaneous coherence in a cold exciton gas. Nature, 483, 584–588.Google Scholar

[24] Oara, K. E., and Wolfe, J. P. 2000. Relaxation kinetics of excitons in cuprous oxide. Phys. Rev. B, 62, 12909–12922.Google Scholar

[25] Jang, J. I., Oara, K. E., and Wolfe, J. P. 2004. Spin-exchange kinetics of excitons in Cu2O: transverse acoustic phonon mechanism. Phys. Rev. B, 70, 195205.Google Scholar

[26] Jang, J. I., and Wolfe, J. P. 2006. Auger recombination and biexcitons in Cu2O: a case for dark excitonic matter. Phys. Rev. B, 74, 045211.Google Scholar

[27] Jang, J. I., and Wolfe, J. P. 2005. Biexcitons in the semiconductor Cu2O: an explanation of the rapid decay of excitons. Phys. Rev. B, 72, 241201.Google Scholar

[28] Wolfe, J. P., and Jang, J. I. 2014. The search for Bose-Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formation. New J. Phys., 16, 123048.CrossRef Google Scholar

[29] Zhu, Xuejun, Littlewood, P. B., Hybertsen, Mark S., and Rice, T. M. 1995. Exciton condensate in semiconductor quantum well structures. Phys. Rev. Lett., 74, 1633–1636.Google Scholar

[30] Ohashi, Y. 2005. BCS-BEC crossover in a gas of Fermi atoms with a p-wave Feshbach resonance. Phys. Rev. Lett., 94, 050403.Google Scholar

[31] Duncan, R., and Sá de Melo, C. 2000. Thermodynamic properties in the evolution from BCS to Bose-Einstein condensation for a d-wave superconductor at low temperatures. Phys. Rev. B, 62, 9675–9687.Google Scholar

[32] Bloch, I., Dalibard, J., and Nascimbène, S. 2012. Quantum simulations with ultracold quantum gases. Nat Phys, 8, 267–276.Google Scholar

[33] Nishida, Y., and Son, D. T. 2012. Unitary Fermi gas, _ expansion, and nonrelativistic conformal field theories. In: Zwerger, W. (ed), The BCS-BEC Crossover and the Unitary Fermi Gas. Heidelberg: Springer-Verlag.

[34] Braaten, E. 2012. Universal relations for fermions with large scattering length. In: Zwerger, Wilhelm (ed), The BCS-BEC Crossover and the Unitary Fermi Gas. Heidelberg: Springer-Verlag.

[35] Altland, A., and Simons, B. 2010. Condensed Matter Field Theory, 2nd edn. New York: Cambridge University Press.

[36] Nozières, P., and Schmitt-Rink, S. 1985. Bose condensation in an attractive fermion gas: from weak to strong coupling superconductivity. J. Low Temp. Phys., 59, 195–211.Google Scholar

[37] Engelbrecht, J. R., Randeria, M., and Sá de Melo, C. A. R. 1997. BCS to Bose crossover: broken-symmetry state. Phys. Rev. B, 55, 15153–15156.Google Scholar

[38] Sá de Melo, C., Randeria, M., and Engelbrecht, J. 1993. Crossover from BCS to Bose superconductivity: transition temperature and time-dependent Ginzburg-Landau theory. Phys. Rev. Lett., 71, 3202–3205.Google Scholar

[39] Petrov, D. S., Salomon, C.|Salomon, C., and Shlyapnikov, G. V. 2005. Scattering properties of weakly bound dimers of fermionic atoms. Phys. Rev. A, 71, 012708.Google Scholar

[40] Petrov, D. S., Salomon, C.|Salomon, C., and Shlyapnikov, G V. 2004. Weakly bound dimers of fermionic atoms. Phys. Rev. Lett., 93, 090404.Google Scholar

[41] Burovski, E., Kozik, E., Prokofv, N., Svistunov, B., and Troyer, M. 2008. Critical temperature curve in BEC-BCS crossover. Phys. Rev. Lett., 101, 090402.Google Scholar

[42] Baym, G., Blaizot, J.-P., Holzmann, M., Laloë, F., and Vautherin, D. 1999. The transition temperature of the dilute interacting Bose gas. Phys. Rev. Lett., 83, 1703– 1706.Google Scholar

[43] Haussmann, R., Rantner, W., Cerrito, S., and Zwerger, W. 2007. Thermodynamics of the BCS-BEC crossover. Phys. Rev. A, 75, 023610.Google Scholar

[44] Gorkov, L. P., and Melik-Barkhudarov, T. K. 1961. Contribution to the theory of superfluidity in an imperfect Fermi gas. Soviet Physics JETP, 13, 1018–1022Google Scholar

[J. Exptl. Theoret. Phys. (U.S.S.R.) 40, 1452–1458 (1961)].

[45] Heiselberg, H., Pethick, C. J., Smith, H., and Viverit, L. 2000. Influence of induced interactions on the superfluid transition in dilute Fermi gases. Phys. Rev. Lett., 85, 2418–2421.Google Scholar

[46] Tajima, H., Kashimura, T., Hanai, R., Watanabe, R., and Ohashi, Y. 2014. Uniform spin susceptibility and spin-gap phenomenon in the BCS-BEC-crossover regime of an ultracold Fermi gas. Phys. Rev. A, 89, 033617.Google Scholar

[47] Hanai, R., and Ohashi, Y. 2014. Heteropairing and component-dependent pseudogap phenomena in an ultracold Fermi gas with different species with different masses. Phys. Rev. A, 90, 043622.Google Scholar

[48] Popov, V. N. 1987. Functional Integrals and Collective Excitations. Cambridge: Cambridge University Press.

[49] Côté, R., and Griffin, A. 1993. Cooper-pair-condensate fluctuations and plasmons in layered superconductors. Phys. Rev. B, 48, 10404–10425.Google Scholar

[50] Belkhir, L., and Randeria, M. 1992. Collective excitations and the crossover from Cooper pairs to composite bosons in the attractive Hubbard model. Phys. Rev. B, 45, 5087–5090.Google Scholar

[51] Kosztin, I., Chen, Q., Kao, Y.-J., and Levin, K. 2000. Pair excitations, collective modes, and gauge invariance in the BCS–Bose-Einstein crossover scenario. Phys. Rev. B, 61, 11662–11675.Google Scholar

[52] Schmitt, F., Kirchmann, P. S., Bovensiepen, U., Moore, R. G., Rettig, L., Krenz, M., Chu, J. H., Ru, N., Perfetti, L., Lu, D. H., Wolf, M., Fisher,, I. R., and Shen, Z. X. 2008. Transient electronic structure and melting of a charge density wave in TbTe3. Science, 321, 1649–1652.Google Scholar

[53] Rettig, L., Chu, J. H., Fisher, I. R., Bovensiepen, U., and Wolf, M. 2014. Coherent dynamics of the charge density wave gap in tritellurides. Faraday Discuss., 171, 299–310.Google Scholar

[54] Hung, C.-L., Gurarie, V., and Chin, C. 2013. From cosmology to cold atoms: observation of Sakharov oscillations in a quenched atomic superfluid. Science, 341, 1213–1215.CrossRef Google Scholar

[55] Rançon, A., Hung, Chen-Lung, Chin, Cheng, and Levin, K. 2013. Quench dynamics in Bose-Einstein condensates in the presence of a bath: theory and experiment. Phys. Rev. A, 88, 031601.Google Scholar

[56] Littlewood, P., and Varma, C. 1981. Gauge-invariant theory of the dynamical interaction of charge density waves and superconductivity. Phys. Rev. Lett., 47, 811–814.Google Scholar

[57] Browne, D. A., and Levin, K. 1983. Collective modes in charge-density-wave superconductors. Phys. Rev. B, 28, 4029–4032.Google Scholar

[58] Littlewood, P., and Varma, C. 1982. Amplitude collective modes in superconductors and their coupling to charge-density waves. Phys. Rev. B, 26, 4883–4893.Google Scholar

[59] Sooryakumar, R., and Klein, M. V. 1980. Raman scattering by superconducting-gap excitations and their coupling to charge-density waves. Phys. Rev. Lett., 45, 660–662.Google Scholar

[60] Pekker, D., and Varma, C. M. 2015. Amplitude/Higgs modes in condensed matter physics. Annu. Rev. Condens. Matter Phys., 6, 269–297.Google Scholar

[61] Méasson, M. A., Gallais, Y., Cazayous, M., Clair, B., Rodière, P., Cario, L., and Sacuto, A. 2014. Amplitude Higgs mode in the 2H–NbSe2 superconductor. Phys. Rev. B, 89, 060503.Google Scholar

[62] Matsunaga, R., Hamada, Y. I., Makise, K., Uzawa, Y., Terai, H., Wang, Z., and Shimano, R. 2013. Higgs amplitude mode in the BCS superconductors Nb1-xTixN induced by terahertz pulse excitation. Phys. Rev. Lett., 111, 057002.Google Scholar

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12 - BEC to BCS Crossover from Superconductors to Polaritons

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