Nonequilibrium Many-Body Theory of Quantum Systems
A Modern Introduction

Rigorous and self-contained new edition introducing nonequilibrium many-body quantum systems and ultrafast phenomena in modern science.

Gianluca Stefanucci (Author), Robert van Leeuwen (Author)

9781009536790, Cambridge University Press

Hardback, published 16 January 2025

722 pages
25 x 17.6 x 4.3 cm, 1.37 kg

'Nonequilibrium Green's functions (NEGF) are the method of choice in theoretical open quantum systems, an area of research which covers quantum transport, nanoscale spectroscopy, molecular electronics, strongly correlated systems, nuclear physics, quantum thermodynamics, and more. This book by Gianluca Stefanucci and Robert van Leeuwen is a comprehensive textbook on NEGF, starting from the basics and introducing material in a logical step-by-step manner, bringing the reader to the latest developments in the field and giving them the knowledge to undertake independent research. This second edition of the book is greatly improved and will be very useful to any student or researcher as a comprehensive guide to NEGF.' Michael Galperin, University of California, San Diego

The Green's function method is among the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. With entirely new chapters and updated example problems, the second edition of this popular text continues to provide an ideal introduction to nonequilibrium many-body quantum systems and ultrafast phenomena in modern science. Retaining the unique and self-contained style of the original, this new edition has been thoroughly revised to address interacting systems of fermions and bosons, simplified many-body approaches like the GKBA, the Bloch equations and the Boltzmann equations and the connection between Green's functions and newly developed time-resolved spectroscopy techniques. Small gaps in the theory have been filled, and frequently overlooked subtleties have been systematically highlighted and clarified. With an abundance of illustrative examples, insightful discussions and modern applications, this book remains the definitive guide for students and researchers alike.

Preface to the Second Edition
Preface to the First Edition
List of abbreviations and acronyms
Fundamental constants and basic relations
1. Second quantization
2. Getting familiar with second quantization: model Hamiltonians
3. Time-dependent problems and equations of motion
4. The contour idea
5. Nonequilibrium Green's functions
6. One-particle Green's function: exact results
7. One-particle Green's function: diagrammatic expansion
8. Hartree-Frock approximation
9. Kadanoff-Baym equations
10. Self-energy and screened interaction: exact results
11. Grand potential: diagrammatic expansion and variational forms
12. Conserving approximations
13. Linear response theory
14. Two-particle Green's function: diagrammatic expansion
15. Electron gas: equilibrium and nonequilibrium correlation effects
16. Green's functions for nonequilibrium fermion-boson systems
17. From Green's functions to simplified many-body approaches
Appendices
References
Index.

Subject Areas: Condensed matter physics [liquid state & solid state physics PHFC]