Mean-field phase diagram for Bose-Hubbard Hamiltonians with random hopping

Abstract

The zero-temperature phase diagram for ultracold Bosons in a random 1D potential is obtained through a site-decoupling mean-field scheme performed over a Bose-Hubbard (BH) Hamiltonian whose hopping term is considered as a random variable. As for the model with random on-site potential, the presence of disorder leads to the appearance of a Bose-glass phase. The different phases -i.e. Mott insulator, superfluid, Bose-glass- are characterized in terms of condensate fraction and superfluid fraction. Furthermore, the boundary of the Mott lobes are related to an off-diagonal Anderson model featuring the same disorder distribution as the original BH Hamiltonian.

7 pages, 6 figures. Submitted to Laser Physics

References in corpus (3)

• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature
• Strong-coupling expansions for the topologically inhomogeneous Bose-Hubbard model

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• Emergence of a superglass phase in the random hopping Bose-Hubbard model