One-dimensional behavior of dilute Bose gases in traps

Robert Seiringer, Elliott Lieb, Jakob Yngvason

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationXIVth International Congress on Mathematical Physics
Subtitle of host publicationLisbon, 28 July - 2 August 2003
PublisherWorld Scientific Publishing Co.
Pages179-185
Number of pages7
ISBN (Electronic)9789812704016
ISBN (Print)981256201X, 9789812562012
DOIs
StatePublished - Jan 1 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Seiringer, R., Lieb, E., & Yngvason, J. (2006). One-dimensional behavior of dilute Bose gases in traps. In XIVth International Congress on Mathematical Physics: Lisbon, 28 July - 2 August 2003 (pp. 179-185). World Scientific Publishing Co.. https://doi.org/10.1142/9789812704016_0015