How localized bosons manage to become superfluid

Abstract

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.

23 pages, 6 figures, final version

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Entanglement in valence-bond-solid states on symmetric graphs
• Glassy features of a Bose Glass

Cited by in corpus (8)

• Superfluid clusters, percolation and phase transitions in the disordered, two dimensional Bose-Hubbard model
• Entanglement entropy and macroscopic quantum states with dipolar bosons in a triple-well potential
• The Mean-Field Bose Glass in Quasicrystalline Systems
• Analytical approach to the two-site Bose-Hubbard model: from Fock states to Schrödinger cat states and entanglement entropy
• Two-mode dipolar bosonic junctions
• Entanglement properties and ground-state statistics of free bosons
• Local Density of the Bose Glass Phase
• Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems