Different Phases in a Dissipative Rydberg Lattice : Roles of Occupancy and On-site Interaction

Abstract

We study a two-level dissipative non-equilibrium bosonic Rydberg system in an optical lattice, where multiple atoms can occupy a single site. The system is treated using two different approaches: solution of the master equation using a mean-field approximation, and direct numerical simulation of an equivalent quantum model. It is found that, depending on the on-site interaction strength, the system can either be uniform or have an antiferromagnet-like density-wave structure in terms of the Rydberg excitation distribution. Our mean-field treatment detects an interesting oscillatory phase as well, but the numerical simulation in 1D does not capture it. The origin of all these phases are investigated by studying the spatial correlations, and by calculating the fixed points of the dynamics. It is observed that an initial population difference across the sublattices helps to enhance the density-wave order. The scaling behavior of the system is also analyzed and a signature of weak universality is obtained.