Violation of self-similarity in the expansion of a 1D Bose gas

P. Pedri, L. Santos, P. Öhberg, S. Stringari

Research output: Contribution to journalArticle

Abstract

The expansion of a 1D Bose gas is investigated employing the Lieb-Liniger equation of state within the local density approximation. We show that during the expansion the density profile of the gas does not follow a self-similar solution, as one would expect from a simple scaling Ansatz. We carry out a variational calculation, which recovers the numerical results for the expansion, the equilibrium properties of the density profile, and the frequency of the lowest compressional mode. The variational approach allows for the analysis of the expansion in all interaction regimes between the mean field and the Tonks-Girardeau limits, and in particular shows the range of parameters for which the expansion violates self-similarity.
LanguageEnglish
Article number043601
Number of pages6
JournalPhysical Review A
Volume68
DOIs
Publication statusPublished - 2003

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expansion
gases
profiles
equations of state
scaling
approximation
interactions

Keywords

  • condensed matter
  • quantum physics

Cite this

Pedri, P. ; Santos, L. ; Öhberg, P. ; Stringari, S. / Violation of self-similarity in the expansion of a 1D Bose gas. In: Physical Review A. 2003 ; Vol. 68.
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Violation of self-similarity in the expansion of a 1D Bose gas. / Pedri, P.; Santos, L.; Öhberg, P.; Stringari, S.

In: Physical Review A, Vol. 68, 043601, 2003.

Research output: Contribution to journalArticle

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AU - Santos, L.

AU - Öhberg, P.

AU - Stringari, S.

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KW - quantum physics

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