Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction

by Gianluca Stefanucci, Robert van Leeuwen

Overview

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.

Product Details

ISBN-13:	9781009536790
Publisher:	Cambridge University Press
Publication date:	01/16/2025
Edition description:	2nd ed.
Pages:	720
Product dimensions:	6.93(w) x 9.84(h) x 1.69(d)

About the Author

Gianluca Stefanucci is Professor of Condensed Matter Theory at the University of Rome Tor Vergata, Italy. His current research interests are in nonequilibrium quantum matter, low-dimensional systems, and time-resolved spectroscopy. He is the author of more than hundred research articles in prestigious, peer-reviewed journals.

Robert van Leeuwen is Professor of Physics at the University of Jyväskylä, Finland. His primary area of research is quantum many-body theory with a focus on non-equilibrium systems. Within this research field he has published more than hundred articles in distinguished, scientific journals.

Table of Contents

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.

Editorial Reviews

‘This is a very important book for anyone working in theoretical many-body physics. Adopting a unified approach based on the second quantization and Green's function operators, the authors commence an exciting journey through equilibrium and nonequilibrium Green's functions techniques, including topics rarely considered in other textbooks, such as functionals, conservation conditions, and two-particle Green's functions. The obvious advantage of this text, compared to many others, is that everything is carefully derived, with most of the steps being given. In this second edition the authors have substantially revised the content, bringing it fully up to date and achieving a more logical narrative throughout.' Lev Kantorovich, King's College London

‘The second edition of Nonequilibrium Many-Body Theory of Quantum Systems is an essential reference from two grand masters of the field. Their clear and rigorous presentation of nonequilibrium Green's functions methods – covering photoemission, optical, and transport phenomena – offers an ideal introduction for newcomers, while providing a solid foundation for further advances in first-principles many-body methods, algorithms, and software. Notable updates with respect to the first edition include dedicated chapters on electron-phonon interactions and the semiconductor Bloch equations, reflecting the latest advances in the field. Streamlined and expanded, this book should be on the shelf of every graduate student and researcher working at the frontier of condensed matter and materials physics.' Feliciano Giustino, The University of Texas, Austin

‘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

From the Publisher