Book contents
- Frontmatter
- Dedication
- Contents
- Author’s Note
- Part I Normal Phase
- Part II Fermionic Superfluid Phase
- Part III Applications
- 32 An Overview of Applications: Yesterday, Today, and Tomorrow
- 33 Driven Open Quantum Systems
- 34 Extension to Superfluid Fermi Systems
- 35 Connection between the Schwinger–Keldysh Closed-Contour Approach and the Lindblad Master Equation
- 36 State-of-the-Art Numerical Methods
- 37 Miscellany and Addenda to Part III
- Bibliography
- Index
33 - Driven Open Quantum Systems
from Part III - Applications
Published online by Cambridge University Press: 06 February 2026
Book contents
- Frontmatter
- Dedication
- Contents
- Author’s Note
- Part I Normal Phase
- Part II Fermionic Superfluid Phase
- Part III Applications
- 32 An Overview of Applications: Yesterday, Today, and Tomorrow
- 33 Driven Open Quantum Systems
- 34 Extension to Superfluid Fermi Systems
- 35 Connection between the Schwinger–Keldysh Closed-Contour Approach and the Lindblad Master Equation
- 36 State-of-the-Art Numerical Methods
- 37 Miscellany and Addenda to Part III
- Bibliography
- Index
Summary
This chapter considers an open quantum system, exemplified by a junction made up of a central region of finite size and of (at least two) connected terminals, with a time-dependent bias superposed on the terminals. For simplicity, fermions in the terminals are assumed to be noninteracting, while those in the central region are interacting. In particular, the time-dependent current flowing through the system is calculated using the Schwinger–Keldysh formalism developed in Part I for the normal phase. To this end, the present problem is framed in a more general context by adapting the Zwanzig P-Q projector operators technique. In this way, “memory” effects arise due to the transfer of information from P to Q subspaces (and vice versa).
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- Many-Body Green's Functions for Time-Dependent Problems , pp. 326 - 342Publisher: Cambridge University PressPrint publication year: 2026
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