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Many-Body Schrödinger Dynamics of Bose-Einstein Condensates

Author: Kaspar Sakmann

Publisher: Springer Science & Business Media

Published: 2011-08-31

Total Pages: 135

ISBN-13: 3642228666

At extremely low temperatures, clouds of bosonic atoms form what is known as a Bose-Einstein condensate. Recently, it has become clear that many different types of condensates -- so called fragmented condensates -- exist. In order to tell whether fragmentation occurs or not, it is necessary to solve the full many-body Schrödinger equation, a task that remained elusive for experimentally relevant conditions for many years. In this thesis the first numerically exact solutions of the time-dependent many-body Schrödinger equation for a bosonic Josephson junction are provided and compared to the approximate Gross-Pitaevskii and Bose-Hubbard theories. It is thereby shown that the dynamics of Bose-Einstein condensates is far more intricate than one would anticipate based on these approximations. A special conceptual innovation in this thesis are optimal lattice models. It is shown how all quantum lattice models of condensed matter physics that are based on Wannier functions, e.g. the Bose/Fermi Hubbard model, can be optimized variationally. This leads to exciting new physics.

Numerically Exact Dynamics of the Interacting Many-body Schrödinger Equation for Bose-Einstein Condensates

Author: Kaspar Sakmann

Publisher:

Published: 2010

Total Pages: 120

ISBN-13:

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Bose-Einstein Condensation

Author: Keith Burnett (Ed); Mark Edwar

Publisher: DIANE Publishing

Published: 1996-12

Total Pages: 213

ISBN-13: 0788137409

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Among the most remarkable effects that quantum mechanics adds to the catalog of the thermal properties of matter is "condensation" of an ideal gas of identical particles into a single quantum state, the principle of which was discovered in the theory of statistical mechanics by Bose and Einstein in the 1920s. Bose-Einstein condensation (BEC) is a mechanism for producing a macroscopic quantum system, and is exemplary of the macroscopic quantum phenomena of superconductivity and superfluidity.These 15 papers provide an introduction to current work on BEC.

Excitations and Dynamics of Bose-Einstein Condensates

Author: Raphael Beinke

Publisher:

Published: 2018

Total Pages:

ISBN-13:

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Universal Themes of Bose-Einstein Condensation

Author: Nick P. Proukakis

Publisher: Cambridge University Press

Published: 2017-04-27

Total Pages: 663

ISBN-13: 1108138624

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Following an explosion of research on Bose–Einstein condensation (BEC) ignited by demonstration of the effect by 2001 Nobel prize winners Cornell, Wieman and Ketterle, this book surveys the field of BEC studies. Written by experts in the field, it focuses on Bose–Einstein condensation as a universal phenomenon, covering topics such as cold atoms, magnetic and optical condensates in solids, liquid helium and field theory. Summarising general theoretical concepts and the research to date - including novel experimental realisations in previously inaccessible systems and their theoretical interpretation - it is an excellent resource for researchers and students in theoretical and experimental physics who wish to learn of the general themes of BEC in different subfields.

Introduction to Modern Methods of Quantum Many-body Theory and Their Applications

Author: A. Fabrocini

Publisher: World Scientific

Published: 2002

Total Pages: 432

ISBN-13: 9789812380692

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The book contains pedagogical articles on the dominant non-stochastic methods of microscopic many-body theories: Density functional theory, coupled cluster theory, and correlated basis functions methods in their widest sense. Further articles introduce students to applications of these methods in front -- line research such as Bose-Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids. These keynote articles are supplemented by experimental reviews on intimately connected topics of current relevance. The book addresses the striking lack of pedagogical reference literature in the field that allows researchers to acquire the requisite physical insight and technical skills. The volume should, therefore, not only researchers to acquire the requisite physical insight and technical skills. The volume should, therefore, not only serve as a collection of information relevant to those who attended the school, but it provides be useful reference material to a broad range of theoretical physicists in condensed matter and nuclear theory.

Bose-Einstein Condensation

Author: Lev. P. Pitaevskii

Publisher: Oxford University Press

Published: 2003-04-03

Total Pages: 392

ISBN-13: 9780198507192

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Bose-Einstein Condensation represents a new state of matter and is one of the cornerstones of quantum physics, resulting in the 2001 Nobel Prize. Providing a useful introduction to one of the most exciting field of physics today, this text will be of interest to a growing community of physicists, and is easily accessible to non-specialists alike.

Tunneling Dynamics in Open Ultracold Bosonic Systems

Author: Axel U. J. Lode

Publisher: Springer

Published: 2014-07-22

Total Pages: 143

ISBN-13: 3319070851

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This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates. Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little about how a system made of several or of many particles tunnels through a barrier to open space. The present work uses numerically exact solutions of the time-dependent many-boson Schrödinger equation to explore the rich physics of the tunneling to open space process in ultracold bosonic particles that are initially prepared as a Bose-Einstein condensate and subsequently allowed to tunnel through a barrier to open space. The many-body process is built up from concurrently occurring single particle processes that are characterized by different momenta. These momenta correspond to the chemical potentials of systems with decreasing particle number. The many-boson process exhibits exciting collective phenomena: the escaping particles fragment and lose their coherence with the source and among each other, whilst correlations build up within the system. The detailed understanding of the many-body process is used to devise and test a scheme to control the final state, momentum distributions and even the correlation dynamics of the tunneling process.

Bose-einstein Condensation - From Atomic Physics To Quantum Fluids, Procs Of The 13th Physics Summer Sch

Author: Mukunda Prasad Das

Publisher: World Scientific

Published: 2000-12-28

Total Pages: 315

ISBN-13: 9814491985

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Bose-Einstein condensation of dilute gases is an exciting new field of interdisciplinary physics. The eight chapters in this volume introduce its theoretical and experimental foundations. The authors are lucid expositors who have also made outstanding contributions to the field. They include theorists Tony Leggett, Allan Griffin and Keith Burnett, and Nobel-Prize-winning experimentalist Bill Phillips. In addition to the introductory material, there are articles treating topics at the forefront of research, such as experimental quantum phase engineering of condensates, the “superchemistry” of interacting atomic and molecular condensates, and atom laser theory.

Bose-Einstein Condensation and Superfluidity

Author: Lev Petrovich Pitaevskiĭ

Publisher: Oxford University Press

Published: 2016

Total Pages: 567

ISBN-13: 019875888X

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Ultracold atomic gases is a rapidly developing field of physics that attracts many young researchers around the world. This book gives a comprehensive overview of exciting developments in Bose-Einstein condensation and superfluidity from a theoretical perspective and makes sense of key experiments with a special focus on ultracold atomic gases.