Quantum Gases: Finite Temperature and Non-equilibrium Dynamics

Jacket Description/Flap: The observation of Bose Einstein condensation in a dilute gas of rubidium in 1995 spawned the new field of ultra-cold, degenerate quantum gases. Unprecedented developments in experimental design and precision control have led to quantum gases becoming the preferred playground for designer quantum many-body systems. This self-contained volume provides a broad overview of the principal theoretical approaches applied to non-equilibrium and finite temperature quantum gases. It covers Bose Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates in solid state systems. This book fills a gap by providing links between different approaches which have their origins in condensed matter physics, quantum field theory, quantum optics, atomic physics and statistical mechanics. The chapters describing different methodologies have been authored by key researchers in their development, and are organised according to their basic assumptions. The volume uses a unified notation, contains numerous introductory chapters, and is accompanied by editorial notes to guide the reader, providing the first integrated and comparative view of the benefits and shortcomings of the individual approaches. This book is aimed at both graduate students and established researchers wishing to understand the state of the art in non-equilibrium and finite temperature techniques in the exciting and expanding field of quantum gases and liquids. Table of Contents: Foreword -- Preface -- Participants of FINESS 2009 (Durham) -- Common Symbols/Expressions and their Meanings -- Part I. Introductory Material -- Editorial Notes -- I. A. Quantum Gases: The Background -- 1. Quantum Gases: Setting the Scene / N. P. Proukakis, K. Burnett -- I. B. Quantum Gases: Experimental Considerations -- 2. Ultracold Quantum Gases: Experiments with Many-Body Systems in Controlled Environments / P. KrUger -- 3. Ultracold Quantum Gases: Key Experimental Techniques / S. A. Hopkins, S. L. Cornish -- I. C. Quantum Gases: Background Key Theoretical Notions -- 4. Introduction to Theoretical Modelling / M. J. Davis, S. A. Gardiner, T. M. Hanna, N. Nygaard, N. P. Proukakis, M. H. Szymanska -- Part II. Ultracold Bosonic Gases: Theoretical Modelling -- Editorial Notes -- II. A. Kinetic and Many-Body Approaches -- Editorial Notes -- 5. A Dynamical Self-Consistent Finite-Temperature Kinetic Theory: The ZNG Scheme / A. J. Allen, C. F. Barenghi, N. P. Proukakis, E. Zaremba -- 6. Extended Mean-Field Theory: Reversible and Irreversible Quantum Evolution of Trapped Gases / R. Walser -- 7. Cumulant Dynamics of Strongly Interacting Ultracold Gases / T. M. Hanna, J. Mur-Petit -- 8. Number-Conserving Approaches for Atomic Bose-Einstein Condensates: An Overview / S. A. Gardiner, P. P. Billam -- 9. Multiconfigurational Time-Dependent Hartree Methods for Bosonic Systems: Theory and Applications / O. E. Alon, A. I. Streltsov, K. Sakmann, L. S. Cederbaum -- II. B. Classical-Field, Stochastic and Field-Theoretic Approaches -- Editorial Notes -- 10. C-Field Methods for Non-Equilibrium Bose Gases / M. J. Davis, T. M. Wright, P. B. Blakie, A. S. Bradley, R. J. Ballagh, C. W. Gardiner -- 11. The Stochastic Gross-Pitaevskii Methodology / S. P. Cockburn, N. P. Proukakis -- 12. A Classical-Field Approach for Bose Gases / M. Brewczyk, M. Gajda, K. Rzazewski -- 13. The Truncated Wigner Method for Bose Gases / J. Ruostekoski, A. D. Martin -- 14. Number-Conserving Stochastic Approaches for Equilibrium and Time-Dependent Bose Gases / A. Sinatra, Y. Castin, I. Carusotto, C. Lobo, E. Witkowska -- 15. Quantum Dynamics on Extended Phase Space: The Positive-P Representation / P. D. Drummond -- 16. Functional-Integral Approach to Non-Equilibrium Quantum Many-Body Dynamics / C. Bodet, M. Kronenwett, B. Nowak, D. Sexty, T. Gasenzer -- II. C. Comparison of Common Theories -- Editorial Notes -- 17. Selected Theoretical Comparisons for Bosons / N. P. Proukakis, M. J. Davis, S. A. Gardiner -- 18. The Beliaev Broken-Symmetry Description of Superfluidity vs the Classical-Field Approach / A. Griffin, E. Zaremba -- 19. Reconciling the Classical-Field Method with the Beliaev Broken-Symmetry Approach / T. M. Wright, M. J. Davis, N. P. Proukakis -- Part III. Overview of Related Quantum-Degenerate Systems -- Editorial Notes -- III. A. Nearly Integrable One-Dimensional Systems -- 20. Dynamics and Thermalisation in Correlated One-Dimensional Lattice Systems / M. Rigol -- III. B. Optical Lattice Geometries -- 21. Introduction to One-Dimensional Many-Body Calculations with the Time-Evolving Block Decimation Algorithm / A. J. Daley -- 22. Finite-Temperature Matrix Product State Algorithms and Applications / M. L. Wall, L. D. Carr -- 23. Bosonic Dynamical Mean-Field Theory / M. Snoek, W. Hofstetter -- III. C. Liquid Helium -- 24. From Classical Fields to the Two-Fluid Model of Superfluidity: Emergent Kinetics and Local Gauge Transformations / H. Salman, N. G. Berloff, P. H. Roberts -- III. D. Degenerate Fermi Gases -- 25. Introduction to Theoretical Modelling of Fermi Gases / N. Nygaard -- 26. Time-Dependent Superfluid Local-Density Approximation / A. Bulgac, M. M. Forbes -- 27. Phase-Space Methods for Fermions / P. Corboz, M. Ogren, K. Kheruntsyan, J. F. Corney -- IIIE. Exciton/Polariton Condensation -- 28. Dipole Excitons in Coupled Quantum Wells: Towards an Equilibrium Exciton Condensate / D. W. Snoke -- 29. Non-Equilibrium Bose-Einstein Condensates of Exciton-Polaritons / D. Sanvitto, I. Carusotto -- 30. Non-Equilibrium Bose-Einstein Condensation in a Dissipative Environment / M. H. Szymanska, J. Keeling, P. B. Littlewood -- References -- Author Index -- Subject Index. Review Quotes: This book should be the first reference point for learning about various theoretical approaches to describing quantum gases. The editors and contributors have created a unique book with well-written articles, meaningful comparisons of various approximation schemes, a uniform notation and more than one thousand references. In addition, the book features introductory chapters and up-to-date review articles of experimental methods and current frontiers. The completeness and depth of the presentation are impressive. -- Wolfgang Ketterle "MIT-Harvard Center for Ultracold Atoms & Nobel Laureate"Marc Notes: Includes bibliographical references (page 461-537) and indexes.; A broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics and statistical mechanics. Publisher Marketing: A broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics and statistical mechanics.

Contributor Bio:  Gardiner, Simon Simon Gardiner, Director, International Sports Law Centre, Anglia Polytechnic University, Chelmsford. Contributor Bio:  Davis, Matthew MATTHEW DAVIS is a MFA graduate of the University of Iowa's Nonfiction Writing Program and currently a graduate student at Johns Hopkins School of Advanced International Studies. A chapter of "When Things Get Dark" has won the 2005 Atlantic Monthly prize in nonfiction and another chapter was a "notable essay" in the 2006 Best American Travel Writing series. Matt lives in Washington, D. C.