Bose Hubbard model in the presence of Ohmic dissipation

Abstract

We study the zero temperature mean-field phase diagram of the Bose-Hubbard model in the presence of local coupling between the bosons and an external bath. We consider a coupling that conserves the on-site occupation number, preserving the robustness of the Mott and superfluid phases. We show that the coupling to the bath renormalizes the chemical potential and the interaction between the bosons and reduces the size of the superfluid regions between the insulating lobes. For strong enough coupling, a finite value of hopping is required to obtain superfluidity around the degeneracy points where Mott phases with different occupation numbers coexist. We discuss the role that such a bath coupling may play in experiments that probe the formation of the insulator-superfluid shell structure in systems of trapped atoms.

5 pages, 2 figures. Error found in v1, now corrected, leads to qualitative changes in results

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• Stable-unstable transition for a Bose-Hubbard chain coupled to an environment
• Dynamic Stimulation of Quantum Coherence in Lattice Bosons
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
• Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
• Dissipative Bose-Josephson junction coupled to bosonic baths
• Contour-time approach to the Bose-Hubbard model in the strong coupling regime: Studying two-point spatio-temporal correlations at the Hartree-Fock-Bogoliubov level
• Dissipative dynamics of an impurity with spin-orbit coupling
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Phase diffusion and fluctuations in a dissipative Bose-Josephson junction