Is a Trapped One-Dimensional Bose Gas a Luttinger Liquid?

Details Is a Trapped One-Dimensional Bose Gas a Luttinger Liquid? Is a Trapped One-Dimensional Bose Gas a Luttinger Liquid?

1997-11-18

arxiv.org/abs/cond-mat/9711178v1

Physics

Condensed Matter

4 pages (revtex), 1 figure (eps file)

Scientific paper

10.1103/PhysRevA.58.R3395

The low-energy fluctuations of a trapped, interacting quasi one-dimensional Bose gas are studied. Our considerations apply to experiments with highly anisotropic traps. We show that under suitable experimental conditions the system can be described as a Luttinger liquid. This implies that the correlation function of the bosons decays algebraically preventing Bose-Einstein condensation. At significantly lower temperatures a finite size gap destroys the Luttinger liquid picture and Bose-Einstein condensation is again possible.

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