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Degenerate Fermi gases

Patrizia Vignolo

in Ultracold Gases and Quantum Information: Lecture Notes of the Les Houches Summer School in Singapore: Volume 91, July 2009

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199603657
eISBN:
9780191729515
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199603657.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The main topic of these lectures is the physics of quantum degenerate atomic Fermi gases both under uniform confinement and in harmonic traps. To begin with, a general introduction on ideal Fermi ... More


Fermi gas

E. R. DOBBS

in Helium Three

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198506409
eISBN:
9780191709463
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506409.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

The properties of liquid 3He change as temperature is lowered from those typical of a classical, monoatomic liquid above 1 K to those of a Fermi gas with interactions, or Fermi liquid, and finally ... More


Microscopic Physics

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/9780199564842.003.0007
Subject:
Physics, Condensed Matter Physics / Materials, Particle Physics / Astrophysics / Cosmology

This chapter deals with the Fermi systems, where the low-energy effective theory involves both bosonic and fermionic fields. Above the phase transition to the superconducting or superfluid state, the ... More


Perfect Gas

Jochen Rau

in Statistical Physics and Thermodynamics: An Introduction to Key Concepts

Published in print:
2017
Published Online:
November 2017
ISBN:
9780199595068
eISBN:
9780191844300
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199595068.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The perfect gas is perhaps the most prominent application of statistical mechanics and for this reason merits a chapter of its own. This chapter briefly reviews the quantum theory of many identical ... 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


Interacting Fermi Gases and the BCS–BEC Crossover

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/9780198758884.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

This is the first of a series of chapters devoted to interacting Fermi gases, with special focus here on the effects of superfluidity. It starts with a brief discussion of the ideal Fermi gas and ... More


Theory of spin-polarized solutions

E. R. DOBBS

in Helium Three

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198506409
eISBN:
9780191709463
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506409.003.0014
Subject:
Physics, Condensed Matter Physics / Materials

Very dilute solutions of 3He in superfluid 4He behave as an almost ideal Fermi gas at millikelvin temperatures, which can be strongly polarized in high magnetic fields. This has enabled studies of ... More


Bose–Einstein condensation

Massimo Inguscio and Leonardo Fallani

in Atomic Physics: Precise Measurements and Ultracold Matter

Published in print:
2013
Published Online:
December 2013
ISBN:
9780198525844
eISBN:
9780191780059
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525844.003.0003
Subject:
Physics, Atomic, Laser, and Optical Physics

Besides the enormous opportunities offered by spectroscopy and atom interferometry, laser cooling has opened up the possibility of experimentally realizing and manipulating quantum degenerate gases: ... More


Introduction

E. R. DOBBS

in Helium Three

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198506409
eISBN:
9780191709463
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506409.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This introductory chapter begins with a discussion of quantum solids and liquids. It then discusses Fermi gas and liquid, superfluid, and magnetic solid.


Quantum Statistics

Daniel V. Schroeder

in An Introduction to Thermal Physics

Published in print:
2021
Published Online:
March 2021
ISBN:
9780192895547
eISBN:
9780191915000
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895547.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter begins by extending the Boltzmann distribution to the case of a system that exchanges particles with its environment. This idea finds direct applications ranging from hemoglobin ... More


Elementary concepts of nuclear physics

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0001
Subject:
Physics, Nuclear and Plasma Physics

This chapter describes the basic concepts of nuclear models beginning with the bare force between two nucleons and ending with the complex configurations of the many-body system. For example those ... More


Fermi–Dirac Statistics

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/9780199646944.003.0028
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the consequences of Fermi-Dirac statistics. The Fermi function is described, and the Fermi energy is found as the low-temperature limit of the chemical potential. The Sommerfeld ... More


Electronic Systems

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/9780199678839.003.0016
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

The Bethe ansatz can be generalized to problems where particles have internal degrees of freedom. The generalized method can be viewed as two Bethe ansätze executed one after the other: nested Bethe ... More


Quantum Gases in Cigar and One-dimensional Regimes

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/9780198758884.003.0024
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the behaviour of one-dimensional quantum gases. It discusses both the so-called cigar configurations, where the system is locally three-dimensional despite its ... More


Many-Body Physics with Ultracold Gases: Lecture Notes of the Les Houches Summer School: Volume 94, July 2010

Christophe Salomon, Georgy V. Shlyapnikov, and Leticia F. Cugliandolo (eds)

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199661886
eISBN:
9780191748356
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199661886.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This book gathers the lecture notes of courses given at the 2010 summer school in theoretical physics in Les Houches, France, Session XCIV. This book illustrates how the field of quantum gases has ... More


Fermi Gas in the Harmonic Trap

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/9780198758884.003.0017
Subject:
Physics, Condensed Matter Physics / Materials

This chapter deals with Fermi gases confined in harmonic traps. After offering a reminder of the properties of the harmonically trapped ideal Fermi gas, the chapter focuses on the effect of ... More


Quantum Gases in Pancake and Two-dimensional Regimes

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/9780198758884.003.0023
Subject:
Physics, Condensed Matter Physics / Materials

This chapter addresses the question of quantum gases in two dimensions. It investigates both the pancake and the deep two-dimensional regimes. In the former case the gas is locally three-dimensional ... More


Nuclear Structure from a Simple Perspective

Richard F. Casten

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198507246
eISBN:
9780191709333
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507246.001.0001
Subject:
Physics, Nuclear and Plasma Physics

This textbook on nuclear structure takes a unique and complementary approach compared to existing texts on the topic. Avoiding complicated calculations and complex mathematical formalism, it explains ... More


Bose-Einstein Condensation and Superfluidity

Lev Pitaevskii and Sandro Stringari

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198758884
eISBN:
9780191818721
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198758884.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This volume introduces the basic concepts of Bose–Einstein condensation and superfluidity. It makes special reference to the physics of ultracold atomic gases; an area in which enormous experimental ... More


Competing instabilities in quench experiments with ultracold Fermi gases near a Feshbach resonance

David Pekker and Eugene Demler

in Many-Body Physics with Ultracold Gases: Lecture Notes of the Les Houches Summer School: Volume 94, July 2010

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199661886
eISBN:
9780191748356
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199661886.003.0009
Subject:
Physics, Atomic, Laser, and Optical Physics

Measuring the tunability of effective two-body interactions near Feshbach resonances is a powerful, experimental tool in systems of ultracold atoms. It has been used to explore a variety of ... More


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