One-dimensional dilute quantum gases and their ground state energies

One-dimensional dilute quantum gases and their ground state energies PDF Author:
Publisher:
ISBN: 9788771250718
Category :
Languages : en
Pages : 0

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One-dimensional dilute quantum gases and their ground state energies

One-dimensional dilute quantum gases and their ground state energies PDF Author:
Publisher:
ISBN: 9788771250718
Category :
Languages : en
Pages : 0

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Book Description


Quantum Gases

Quantum Gases PDF Author: Nick Proukakis
Publisher: World Scientific
ISBN: 1848168128
Category : Science
Languages : en
Pages : 579

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Book Description
This volume provides 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.

Quantum Gases: Finite Temperature And Non-equilibrium Dynamics

Quantum Gases: Finite Temperature And Non-equilibrium Dynamics PDF Author: Nick P Proukakis
Publisher: World Scientific
ISBN: 1908979704
Category : Science
Languages : en
Pages : 579

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Book Description
The 1995 observation of Bose-Einstein condensation in dilute atomic vapours spawned the field of ultracold, 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 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. Thematically organised chapters on different methodologies, contributed by key researchers using a unified notation, provide the first integrated view of the relative merits of individual approaches, aided by pertinent introductory chapters and the guidance of editorial notes.Both graduate students and established researchers wishing to understand the state of the art will greatly benefit from this comprehensive and up-to-date review of non-equilibrium and finite temperature techniques in the exciting and expanding field of quantum gases and liquids./a

The Mathematics of the Bose Gas and its Condensation

The Mathematics of the Bose Gas and its Condensation PDF Author: Elliott H. Lieb
Publisher: Springer Science & Business Media
ISBN: 3764373377
Category : Science
Languages : en
Pages : 204

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Book Description
This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

The Ground State Energy of Two Dimensional Quantum Gases

The Ground State Energy of Two Dimensional Quantum Gases PDF Author: William R. Minor
Publisher:
ISBN:
Category : Electron gas
Languages : en
Pages : 82

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Book Description


Bose–Einstein Condensation in Dilute Gases

Bose–Einstein Condensation in Dilute Gases PDF Author: C. J. Pethick
Publisher: Cambridge University Press
ISBN: 1139811088
Category : Science
Languages : en
Pages : 538

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Book Description
Since an atomic Bose-Einstein condensate, predicted by Einstein in 1925, was first produced in the laboratory in 1995, the study of ultracold Bose and Fermi gases has become one of the most active areas in contemporary physics. This book explains phenomena in ultracold gases from basic principles, without assuming a detailed knowledge of atomic, condensed matter, and nuclear physics. This new edition has been revised and updated, and includes new chapters on optical lattices, low dimensions, and strongly-interacting Fermi systems. This book provides a unified introduction to the physics of ultracold atomic Bose and Fermi gases for advanced undergraduate and graduate students, as well as experimentalists and theorists. Chapters cover the statistical physics of trapped gases, atomic properties, cooling and trapping atoms, interatomic interactions, structure of trapped condensates, collective modes, rotating condensates, superfluidity, interference phenomena, and trapped Fermi gases. Problems are included at the end of each chapter.

Quantum Many Body Systems

Quantum Many Body Systems PDF Author: Vincent Rivasseau
Publisher: Springer
ISBN: 3642295118
Category : Science
Languages : en
Pages : 195

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Book Description
The book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights.

Ultracold Bosonic and Fermionic Gases

Ultracold Bosonic and Fermionic Gases PDF Author: Kathryn Levin
Publisher: Elsevier
ISBN: 0444538577
Category : Science
Languages : en
Pages : 226

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Book Description
The rapidly developing topic of ultracold atoms has many actual and potential applications for condensed-matter science, and the contributions to this book emphasize these connections. Ultracold Bose and Fermi quantum gases are introduced at a level appropriate for first-year graduate students and non-specialists such as more mature general physicists. The reader will find answers to questions like: how are experiments conducted and how are the results interpreted? What are the advantages and limitations of ultracold atoms in studying many-body physics? How do experiments on ultracold atoms facilitate novel scientific opportunities relevant to the condensed-matted community? This volume seeks to be comprehensible rather than comprehensive; it aims at the level of a colloquium, accessible to outside readers, containing only minimal equations and limited references. In large part, it relies on many beautiful experiments from the past fifteen years and their very fruitful interplay with basic theoretical ideas. In this particular context, phenomena most relevant to condensed-matter science have been emphasized. Introduces ultracold Bose and Fermi quantum gases at a level appropriate for non-specialists Discusses landmark experiments and their fruitful interplay with basic theoretical ideas Comprehensible rather than comprehensive, containing only minimal equations

The Ground State Energy of a Dilute Bose Gas in Dimension N ≥ 3

The Ground State Energy of a Dilute Bose Gas in Dimension N ≥ 3 PDF Author: Anders Aaen
Publisher:
ISBN:
Category :
Languages : en
Pages : 86

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Book Description


Fifth International Congress of Chinese Mathematicians

Fifth International Congress of Chinese Mathematicians PDF Author: Lizhen Ji
Publisher: American Mathematical Soc.
ISBN: 0821875876
Category : Mathematics
Languages : en
Pages : 522

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Book Description
This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.