We show that the many-body wavefunction built as a permanent of localized non-orthogonal single-particle states can describe bosonic superfluidity. The criterion for the transition is expressed in terms of the properties of the matrix of the overlaps between the single-particle wavefunctions. We apply this result to study the superfluid-to-Bose glass transition in a disordered Bose-Hubbard model through a very simple variational wavefunction. We finally consider a further quantity, the bipartite entanglement entropy, which also provides a good estimator for the superfluid-to-Bose glass transition.

How localized bosons manage to become superfluid / Dell'Anna, L; Fabrizio, Michele. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2011:8(2011), pp. 1-20. [10.1088/1742-5468/2011/08/P08004]

How localized bosons manage to become superfluid

Fabrizio, Michele
2011-01-01

Abstract

We show that the many-body wavefunction built as a permanent of localized non-orthogonal single-particle states can describe bosonic superfluidity. The criterion for the transition is expressed in terms of the properties of the matrix of the overlaps between the single-particle wavefunctions. We apply this result to study the superfluid-to-Bose glass transition in a disordered Bose-Hubbard model through a very simple variational wavefunction. We finally consider a further quantity, the bipartite entanglement entropy, which also provides a good estimator for the superfluid-to-Bose glass transition.
2011
2011
8
1
20
P08004
10.1088/1742-5468/2011/08/P08004
https://arxiv.org/abs/1012.1360
Dell'Anna, L; Fabrizio, Michele
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14225
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