Phys. Rev. A 59, 1468–1472 (1999)Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentialsReceived 31 August 1998; published in the issue dated February 1999 We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form Vext(x)=V0(|x|/a)γ, in which γ<2, by solving the Gross-Pitaevskii equation within the semiclassical 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 a finite number of particles at low temperature, indicating a phase transition for weakly interacting systems. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.59.1468
DOI:
10.1103/PhysRevA.59.1468
PACS:
03.75.Fi, 05.30.Jp, 67.40.Kh, 64.60.-i
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