Laser Physics

, Volume 19, Issue 4, pp 571–577

Effect of random on-site energies on the critical temperature of a lattice Bose gas

  • L. Dell’Anna
  • S. Fantoni
  • P. Sodano
  • A. Trombettoni
Physics of Cold Trapped Atoms

DOI: 10.1134/S1054660X09040069

Cite this article as:
Dell’Anna, L., Fantoni, S., Sodano, P. et al. Laser Phys. (2009) 19: 571. doi:10.1134/S1054660X09040069

Abstract

We study the effect of random on-site energies on the critical temperature of a non-interacting Bose gas on a lattice. In our derivation the on-site energies are distributed according a Gaussian probability distribution function having vanishing average and variance ν02. By using the replicated action obtained by averaging on the disorder, we perform a perturbative expansion for the Green functions of the disordered system. We evaluate the shift of the chemical potential induced by the disorder and we compute, for ν02 ≪ 1, the critical temperature for condensation. We find that, for large filling, disorder slightly enhances the critical temperature for condensation.

PACS numbers

40

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  • L. Dell’Anna
    • 1
  • S. Fantoni
    • 1
    • 2
    • 3
  • P. Sodano
    • 4
  • A. Trombettoni
    • 1
    • 2
  1. 1.International School for Advanced StudiesTriesteItaly
  2. 2.INFNSezione di TriesteTriesteItaly
  3. 3.INFMCNR-DEMOCRITOS National Supercomputing CenterTriesteItaly
  4. 4.Dipartimento di Fisica and INFN, Sezione di PerugiaUniversità di PerugiaPerugiaItaly