Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentials

Details Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentials Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentials

1998-10-16

arxiv.org/abs/cond-mat/9810197v1

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 6 pages, 8 figures, uses grafik.sty (included), to be published in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.59.1468

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii equation within the semi-classical two-fluid model. The condensate fraction, chemical potential, ground state energy, and specific heat of the system are calculated for various values of interaction strengths. Our results show that a significant fraction of the particles is in the lowest energy state for finite number of particles at low temperature indicating a phase transition for weakly interacting systems.

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