A Finite Temperature Treatment of Ultracold Atoms in a 1-D Optical Lattice
arXiv:cond-mat/0506627 · doi:10.1103/PhysRevA.73.023604
Abstract
We consider the effects of temperature upon the superfluid phase of ultracold, weakly interacting bosons in a one dimensional optical lattice. We use a finite temperature treatment of the Bose-Hubbard model based upon the Hartree-Fock-Bogoliubov formalism, considering both a translationally invariant lattice and one with additional harmonic confinement. In both cases we observe an upward shift in the critical temperature for Bose condensation. For the case with additional harmonic confinement, this is in contrast with results for the uniform gas.
arXiv commentContains four eps figures
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Cited by in corpus (11)
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Cold Bosons in Optical Lattices
- Theory of correlations between ultra-cold bosons released from an optical lattice
- Bose-Einstein condensation in an optical lattice
- Finite temperature theory of superfluid bosons in optical lattices
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- Lattice bosons in quartic confinement
- Thermodynamics of quantum degenerate gases in optical lattices
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