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

Abstract

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\mathrm{ext}}(x)=V_0(|x|/a{)}^{\gamma }$, 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.

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

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Cited by in corpus (3)

• Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
• Condensate fraction and critical temperature of interacting Bose gas in anharmonic trap
• Bose-Einstein condensation thermodynamics of a trapped gas with attractive interaction