Antiferromagnetic long-range order in dissipative Rydberg lattices
arXiv:1404.1281 · doi:10.1103/PhysRevA.90.021603
Abstract
We study the dynamics of dissipative spin lattices with power-law interactions, realized via few-level atoms driven by coherent laser-coupling and decoherence processes. Using Monte-Carlo simulations, we determine the phase diagram in the steady state and analyze the dynamics of its generation. As opposed to mean-field predictions and nearest-neighbour models there is no phase transition to long-range ordered phases for realistic interactions and resonant driving. However, for finite laser detunings, we demonstrate the emergence of crystalline order with a vanishing dissipative gap. Although the found steady states differ considerably from those of an equilibrium Ising magnet, the critical exponent of the revealed dissipative phase transition falls into the 2D Ising universality class. Two complementary schemes for an experimental implementation with cold Rydberg atoms are discussed.
References in corpus (12)
- Many-Body Physics with Ultracold Gases
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
- Cooperative atom-light interaction in a blockaded Rydberg ensemble
- Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
- Storage and control of optical photons using Rydberg polaritons
- Quantum critical behavior in strongly interacting Rydberg gases
- Dissipative Dynamics and Phase Transitions in Fermionic Systems
- Many-body theory of excitation dynamics in an ultracold Rydberg gas
- Steady-state crystallization of Rydberg excitations in an optically driven lattice gas
- Two-electron excitation of an interacting cold Rydberg gas
- Phase Diagram of Rydberg atoms in a nonequilibrium optical lattice
Cited by in corpus (13)
- Variational principle for steady states of dissipative quantum many-body systems
- A concise review of Rydberg atom based quantum computation and quantum simulation
- Universal non-equilibrium properties of dissipative Rydberg gases
- Localization phenomena in interacting Rydberg lattice gases with position disorder
- Limit cycle phase in driven-dissipative spin systems
- Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
- Linked cluster expansions for open quantum systems on a lattice
- Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
- Quantum and Nonlinear Optics in Strongly Interacting Atomic Ensembles
- Effective dynamics of strongly dissipative Rydberg gases
- Out-of-equilibrium evolution of kinetically constrained many-body quantum systems under purely dissipative dynamics
- Many-body dynamics of holes in a driven, dissipative spin chain of Rydberg superatoms
- Tailored jump operators for purely dissipative quantum magnetism