Transition between vacuum and finite-density states in the infinite-dimensional Bose-Hubbard model with spatially inhomogeneous dissipation

TL;DR

This paper investigates the phase transition in an infinite-dimensional Bose-Hubbard model with spatially inhomogeneous dissipation, revealing a transition between vacuum and finite-density steady states through analysis of the Lindblad master equation.

Contribution

It introduces a novel analysis of the steady-state transition in the dissipative Bose-Hubbard model using the Gutzwiller variational method in the hardcore boson limit.

Findings

Identifies a transition between vacuum and finite-density states as particle density varies.

Shows sites with dissipation tend towards an infinite-temperature local state.

Demonstrates the role of inhomogeneous dissipation in steady-state phase behavior.

Abstract

We analyze dynamics of the infinite-dimensional Bose-Hubbard model with spatially inhomogeneous dissipation in the hardcore boson limit by solving the Lindblad master equation with use of the Gutzwiller variational method. We consider dissipation processes that correspond to inelastic light scattering in the case of Bose gases in optical lattices. We assume that the dissipation is applied to a half of lattice sites in a spatially alternating manner. We focus on steady states at which the system arrives after long-time evolution. We find that when the average particle density is varied, the steady state exhibits a transition between a state in which the sites without dissipation are vacuum and that containing a finite number of particles at those sites. We associate the transition with the tendency of the sites with dissipation towards a local state at infinite temperature.