Phases, collective modes, and non-equilibrium dynamics of dissipative Rydberg atoms

Abstract

We use a density matrix formalism to study the equilibrium phases and non-equilibrium dynamics of a system of dissipative Rydberg atoms in an optical lattice within mean-field theory. We provide equations for the fixed points of the density matrix evolution for atoms with infinite on-site repulsion and analyze these equations to obtain their Mott insulator- superfluid (MI-SF) phase boundary. A stability analysis around these fixed points provides us with the excitation spectrum of the atoms both in the MI and SF phases. We study the nature of the MI-SF critical point in the presence of finite dissipation of Rydberg excitations, discuss the fate of the superfluidity of the atoms in the presence of such dissipation in the weak-coupling limit using a coherent state representation of the density matrix, and extend our analysis to Rydberg atoms with finite on-site interaction via numerical solution of the density matrix equations. Finally, we vary the boson (atom) hopping parameter $J$ and the dissipation parameter $\Gamma$ according to a linear ramp protocol. We study the evolution of entropy of the system following such a ramp and show that the deviation of the entropy from its steady state value for the latter protocol exhibits power-law behavior as a function of the ramp time. We discuss experiments which can test our theory.

v2 10 pages 8 figs; minor typos corrected

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• Supersolid phases of Rydberg-excited bosons on a triangular lattice
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Temporal bistability in the dissipative Dicke-Bose-Hubbard system
• Decay-dephasing-induced steady states in bosonic Rydberg-excited quantum gases in an optical lattice
• Phase diffusion and fluctuations in a dissipative Bose-Josephson junction
• Interacting bosons in two-dimensional lattices with localized dissipation
• Finite temperature phases and excitations of bosons on a square lattice: A cluster mean field study