Mean-field phase diagram of cold lattice bosons in disordered potentials

Abstract

We show that a site-dependent mean-field approach captures the quantum phases of the disordered Bose-Hubbard model commonly adopted to describe ultracold bosons in random optical lattice potentials. The different phases, namely superfluid, Mott insulator, Bose-glass and -- at finite temperature -- normal fluid, are characterized by means of the superfluid and condensate fractions, and compressibility of the system. We point out that both the boundaries of the Mott lobes and the nature of the phase surrounding them are related to the spectral features of a purely off-diagonal non-interacting Anderson model. We compare our results to other works.

5 pages, 4 figures, added some references and reformulated some sentences

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Cited by in corpus (21)

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• Strongly interacting bosons in a disordered optical lattice
• Cold Bosons in Optical Lattices
• Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
• Theory of correlations between ultra-cold bosons released from an optical lattice
• Gutzwiller approach to the Bose-Hubbard model with random local impurities
• Bose-Einstein condensation in an optical lattice
• The Mean-Field Bose Glass in Quasicrystalline Systems
• Measuring the Edwards-Anderson order parameter of the Bose glass: a quantum gas microscope approach
• Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
• Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams
• Unconventional quantum phases of lattice bosonic mixtures
• Excitations in disordered bosonic optical lattices
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Green's function approach to the Bose-Hubbard model with disorder
• Glassy features of a Bose Glass
• Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
• Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
• Emergence of damped-localized excitations of the Mott state due to disorder
• Fine-grained domain counting and percolation analysis in 2D lattice systems with linked-lists
• Phase Diagram and Spectral Function of the Two-Dimensional Disordered Bose-Hubbard Model: A Real-Space Dynamical Mean-Field Theory Analysis