Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
arXiv:2304.11260 · doi:10.1016/j.nuclphysb.2023.116386
Abstract
There has been considerable interest in the disordered Bose Hubbard model (BHM) in recent years, particularly in the context of thermalization and many-body localization. We develop a two-particle irreducible (2PI) strong-coupling approach to the disordered BHM that allows us to treat both equilibrium and out-of-equilibrium situations. We obtain equations of motion for spatio-temporal correlations and explore their equilibrium solutions. We study the equilibrium phase diagram as a function of disorder strength and discuss applications of the formalism to out-of-equilibrium situations. We also note that the disorder strengths where the emergence of non-ergodic dynamics was observed in a recent experiment [Choi , Science , 1547 (2016)] appear to correspond to the Mott insulator -- Bose glass phase boundary.
20 pages, 6 figures
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