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).
Keywords
Information
- Type
- Chapter
- Information
- Many-Body Green's Functions for Time-Dependent Problems , pp. 326 - 342Publisher: Cambridge University PressPrint publication year: 2026
Accessibility standard: Inaccessible, or known limited accessibility
Why this information is here
This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.Accessibility Information
The PDF of this book is known to have missing or limited accessibility features.
We may be reviewing its accessibility for future improvement, but final compliance is
not yet assured and may be subject to legal exceptions. If you have any questions,
please contact
accessibility@cambridge.org.
Content Navigation
Table of contents navigation
Allows you to navigate directly to chapters, sections, or non‐text items through a linked table of contents, reducing the need for extensive scrolling.
Allows you to navigate directly to chapters, sections, or non‐text items through a linked table of contents, reducing the need for extensive scrolling.
Index navigation
Provides an interactive index, letting you go straight to where a term or subject appears in the text without manual searching.
Provides an interactive index, letting you go straight to where a term or subject appears in the text without manual searching.
Reading Order & Textual Equivalents
Single logical reading order
You will encounter all content (including footnotes, captions, etc.) in a clear, sequential flow, making it easier to follow with assistive tools like screen readers.
You will encounter all content (including footnotes, captions, etc.) in a clear, sequential flow, making it easier to follow with assistive tools like screen readers.
Short alternative textual descriptions
You get concise descriptions (for images, charts, or media clips), ensuring you do not miss crucial information when visual or audio elements are not accessible.
You get concise descriptions (for images, charts, or media clips), ensuring you do not miss crucial information when visual or audio elements are not accessible.