One-dimensional behavior of dilute Bose gases in traps

Robert Seiringer; Elliott H. Lieb; Jakob Yngvason

doi:10.1142/9789812704016_0015

One-dimensional behavior of dilute Bose gases in traps

Robert Seiringer, Elliott H. Lieb, Jakob Yngvason

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We report on a rigorous analysis of the ground state of a dilute Bose gas in an external confining potential in the limit where the confinement becomes very strong in two dimensions and as a result the system behaves essentially one-dimensional. We show that the system is well described by a one-dimensional model of Bosons with delta function interaction that was solved long ago by Lieb and Liniger. We explicate 5 parameter regions in which various types of behavior of the system occur. This is relevant for the interpretation of recent experiments on ultra-cold atomic gases in strongly elongated traps.

Original language	English (US)
Title of host publication	XIVth International Congress on Mathematical Physics
Subtitle of host publication	Lisbon, 28 July - 2 August 2003
Publisher	World Scientific Publishing Co.
Pages	179-185
Number of pages	7
ISBN (Electronic)	9789812704016
ISBN (Print)	981256201X, 9789812562012
DOIs	https://doi.org/10.1142/9789812704016_0015
State	Published - Jan 1 2006

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1142/9789812704016_0015

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N2 - We report on a rigorous analysis of the ground state of a dilute Bose gas in an external confining potential in the limit where the confinement becomes very strong in two dimensions and as a result the system behaves essentially one-dimensional. We show that the system is well described by a one-dimensional model of Bosons with delta function interaction that was solved long ago by Lieb and Liniger. We explicate 5 parameter regions in which various types of behavior of the system occur. This is relevant for the interpretation of recent experiments on ultra-cold atomic gases in strongly elongated traps.

AB - We report on a rigorous analysis of the ground state of a dilute Bose gas in an external confining potential in the limit where the confinement becomes very strong in two dimensions and as a result the system behaves essentially one-dimensional. We show that the system is well described by a one-dimensional model of Bosons with delta function interaction that was solved long ago by Lieb and Liniger. We explicate 5 parameter regions in which various types of behavior of the system occur. This is relevant for the interpretation of recent experiments on ultra-cold atomic gases in strongly elongated traps.

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BT - XIVth International Congress on Mathematical Physics

PB - World Scientific Publishing Co.

ER -

One-dimensional behavior of dilute Bose gases in traps

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