Bose-Condensed Gases in a 1D Optical Lattice at Finite Temperatures
E. Arahata, T. Nikuni
TL;DR
This paper investigates the equilibrium properties of Bose-Condensed gases in a one-dimensional optical lattice at finite temperatures, using a quasi-1D model derived from the Gross-Pitaevskii and Bogoliubov equations.
Contribution
It introduces a quasi-1D model for Bose gases in optical lattices at finite temperatures, combining analytical derivation and numerical solutions.
Findings
Condensate fraction as a function of temperature obtained
Quasi-1D model accurately describes finite-temperature effects
Numerical solutions provide insights into thermal behavior
Abstract
We study equilibrium properties of Bose-Condensed gases in a one-dimensional (1D) optical lattice at finite temperatures. We assume that an additional harmonic confinement is highly anisotropic, in which the confinement in the radial directions is much tighter than in the axial direction. We derive a quasi-1D model of the Gross-Pitaeavkill equation and the Bogoliubov equations, and numerically solve these equations to obtain the condensate fraction as a function of the temperature.
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