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Large Deviations for Empirical Cycle Counts of Integer Partitions and Their Relation to Systems of Bosons

Stefan Adams

in Analysis and Stochastics of Growth Processes and Interface Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199239252
eISBN:
9780191716911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239252.003.0007
Subject:
Mathematics, Probability / Statistics, Analysis

Motivated by the Bose gas, this chapter introduces certain combinatorial structures. It analyses the asymptotic behaviour of empirical shape measures and of empirical path measures of N Brownian ... More


Cold quantum gases and Bose–Einstein condensation

Robert Seiringer

in Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches Summer School: Volume 95, August 2010

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199652495
eISBN:
9780191741203
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199652495.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics

Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995. Since then there has been a surge of activity in this field, with ingenious experiments putting forth ... More


Quantum gases and condensates

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0030
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Exchange symmetry affects the occupation of allowed states in quantum gases. If the density of the gas is very low, we can ignore this and forget about exchange symmetry; this is what we do for gases ... More


Ultracold dipolar gases

Maciej Lewenstein, Anna Sanpera, and Verònica Ahufinger

in Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199573127
eISBN:
9780191775048
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573127.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter examines ultracold dipolar gases. First, it discusses the general properties of dipole–dipole interaction and explains how ultracold dipolar systems can be realized in experiments. The ... More


Microscopic Physics of Quantum Liquids

VOLOVIK GRIGORY E.

in The Universe in a Helium Droplet

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199564842
eISBN:
9780191709906
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199564842.003.0003
Subject:
Physics, Condensed Matter Physics / Materials, Particle Physics / Astrophysics / Cosmology

There are two ways to study quantum liquids. One is the fully microscopic treatment, which can be realised either by numerical simulations of the many-body problem, or for some special ranges of the ... More


Superfluidity: a new state of matter

Allan Griffin

in A Century of Nature: Twenty-One Discoveries that Changed Science and the World

Published in print:
2003
Published Online:
May 2013
ISBN:
9780226284132
eISBN:
9780226284163
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226284163.003.0004
Subject:
History, History of Science, Technology, and Medicine

In January 1938, the Russian physicist Pyotr Kapitza reported that, at temperatures below 2.2 degrees above absolute zero, liquid helium seemed to flow with no loss of energy due to friction. The ... More


The Ideal Bose Gas

Lev Pitaevskii and Sandro Stringari

in Bose-Einstein Condensation and Superfluidity

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198758884
eISBN:
9780191818721
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198758884.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter describes the mechanism of Bose–Einstein condensation in the simplest ideal Bose gas case. An explicit expression for the critical temperature is derived in the analytically soluble case ... More


Nonthermal fixed points: universality, topology, and turbulence in Bose gases

Boris Nowak, Sebastian Erne, Markus Karl, Jan Schole, Dénes Sexty, and Thomas Gasenzer

in Strongly Interacting Quantum Systems out of Equilibrium: Lecture Notes of the Les Houches Summer School: Volume 99, August 2012

Published in print:
2016
Published Online:
August 2016
ISBN:
9780198768166
eISBN:
9780191821905
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198768166.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter considers nearly coherent Bose gases brought far out of equilibrium and their behavior in the context of connections between universal properties, (quasi-)topological field ... More


Quantum Mixtures and Spinor Gases

Lev Pitaevskii and Sandro Stringari

in Bose-Einstein Condensation and Superfluidity

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198758884
eISBN:
9780191818721
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198758884.003.0021
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the behaviour of quantum mixtures, including spinor gases. It considers mixtures of different atomic species and discuss the conditions for miscibility and the role of the ... More


Thermodynamics of the Repulsive Lieb–Liniger Model

Hans-Peter Eckle

in Models of Quantum Matter: A First Course on Integrability and the Bethe Ansatz

Published in print:
2019
Published Online:
September 2019
ISBN:
9780199678839
eISBN:
9780191878589
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199678839.003.0017
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

This chapter discusses how the Bethe ansatz solution of the one-dimensional Bose gas with repulsive δ‎-function interaction is extended to finite temperatures, the thermody- namic Bethe ansatz. The ... More


Ideal Quantum Gases

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0026
Subject:
Physics, Condensed Matter Physics / Materials

This chapter develops the basic equations that will be used to analyse the Fermi-Dirac and Bose-Einstein gases. The representation of many-particle states in terms of products of single-particle ... More


Strongly Interacting Quantum Systems out of Equilibrium: Lecture Notes of the Les Houches Summer School: Volume 99, August 2012

Thierry Giamarchi, Andrew J. Millis, Olivier Parcollet, Hubert Saleur, and Leticia F. Cugliandolo (eds)

Published in print:
2016
Published Online:
August 2016
ISBN:
9780198768166
eISBN:
9780191821905
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198768166.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Over the last decade, new experimental tools and theoretical concepts have led to new insights into the collective nonequilibrium behavior of quantum systems. The exquisite control provided by laser ... More


Quantum statistical physics: Functional integration formalism

Jean Zinn-Justin

in Quantum Field Theory and Critical Phenomena: Fifth Edition

Published in print:
2021
Published Online:
June 2021
ISBN:
9780198834625
eISBN:
9780191872723
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198834625.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The functional integral representation of the density matrix at thermal equilibrium in non-relativistic quantum mechanics (QM) with many degrees of freedom, in the grand canonical formulation is ... More


Quantum evolution: From particles to non-relativistic fields

Jean Zinn-Justin

in Quantum Field Theory and Critical Phenomena: Fifth Edition

Published in print:
2021
Published Online:
June 2021
ISBN:
9780198834625
eISBN:
9780191872723
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198834625.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 4 has introduced the functional integral representation of the quantum statistical operators and thus, formally, evolution in imaginary or Euclidean time. By contrast, to calculate the ... More


The neutral relativistic scalar field

Jean Zinn-Justin

in Quantum Field Theory and Critical Phenomena: Fifth Edition

Published in print:
2021
Published Online:
June 2021
ISBN:
9780198834625
eISBN:
9780191872723
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198834625.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces the relativistic quantum field theory (QFT) of the neutral scalar boson field. It is a local, relativistic invariant, theory for a real field extension of the non-relativistic ... More


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