Theory of Critical Temperature Adiabatic Change for Ideal Gas Bose-Einstein Condensation in Optical Lattices

2006/10/28 by G. A. Muradyan, Muradyan, G. A., A. Zh. Muradyan +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #cond-mat.other #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0610797

arxiv created 2006/11/03 · arxiv updated 2009/12/01

Abstract

We present a scheme of analytical calculations determining the critical temperature and the number of condensed atoms of ideal gas Bose-Einstein condensation in external potentials with 1D, 2D or 3D periodicity. In particular we show that the width of the lowest energy band appears as the main parameter determining the critical temperature of condensation. Is obtained a very simple, proportional to 1/3 degree, regularity for this dependence. The fundamental role of tunneling in physics of condensate establishment is underscored.

Related

• Decreasing critical temperature of gas BEC in spatially periodic potential and relevance to experiments treated by Mott-Hubbard model
• Atomic Bose Condensation and the Lattice
• Bose-Einstein condensation in the harmonic oscillator potential
• Bose Condensation and Temperature
• Superfluid to normal fluid phase transition in the Bose gas trapped in two dimensional optical lattices at finite temperature