How localized bosons manage to become superfluid

Details How localized bosons manage to become superfluid How localized bosons manage to become superfluid

2010-12-06

arxiv.org/abs/1012.1360v2

J. Stat. Mech. (2011) P08004

Physics

Condensed Matter

Disordered Systems and Neural Networks

23 pages, 6 figures, final version

Scientific paper

10.1088/1742-5468/2011/08/P08004

We study the superfluid-to-Bose glass transition in a disordered Bose-Hubbard model through a very simple variational wavefunction: a permanent of non-orthogonal single-particle wavefunctions that are variationally determined. The transition is identified by the behavior of the superfluid stiffness. We also introduce a less rigorous but very enlightening criterium for the transition, which is related to the overlap matrix among the single-particle wavefunctions that are used to built the permanent. We find that the two criteria agree quite well. We finally consider a further quantity, the bipartite entanglement entropy, which also provides a good estimator for the superfluid-to-Bose glass transition.

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