Effects of Interactions and Temperature in Disordered Ultra-Cold Bose Gases

Abstract

We simulate ultra-cold interacting bosons in quasi-one-dimensional, incommensurate optical lattices. In the tight-binding limit, these lattices have pseudo-random on-site energies and thus can potentially lead to Anderson localization. We use the Hartree-Fock-Bogoliubov formalism in the Bose-Hubbard model to explore the parameter regimes that lead to exponential localization of the ground state in a 3-colour optical lattice and investigate the role of repulsive interactions, harmonic confinement and finite temperature.

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Adolphs, C. , Towers, J. , Piraud, M. , Krutitsky, K. and Hutchinson, D. (2014) Effects of Interactions and Temperature in Disordered Ultra-Cold Bose Gases. Journal of Modern Physics, 5, 661-672. doi: 10.4236/jmp.2014.58077.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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