Spatial correlations of one dimensional driven-dissipative systems of Rydberg atoms

Abstract

We consider a one-dimensional lattice of atoms with laser excitation to a Rydberg state and spontaneous emission. The atoms are coupled due to the dipole-dipole interaction of the Rydberg states. This driven-dissipative system has a broad range of non-equilibrium phases, such as antiferromagnetic ordering and bistability. Using the quantum trajectory method, we calculate the spatial correlation function throughout the parameter space for up to 20 lattice sites. We show that bistability significantly strengthens the spatial correlations and entanglement.

6 pages,8 figures

References in corpus (11)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Necessary and sufficient condition for non-zero quantum discord
• Cooperative atom-light interaction in a blockaded Rydberg ensemble
• Dissipative Many-body Quantum Optics in Rydberg Media
• Steady-state crystallization of Rydberg excitations in an optically driven lattice gas
• Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
• Driven-dissipative dynamics of a strongly interacting Rydberg gas
• Dynamics of Low-Density Ultracold Rydberg Gases
• Phase Diagram of Rydberg atoms in a nonequilibrium optical lattice
• Quantum phases of strongly interacting Rydberg atoms in triangular lattices
• Dynamics and equilibration of Rydberg excitations in dissipative atomic ensembles

Cited by in corpus (43)

• Quantum trajectories and open many-body quantum systems
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Simulation methods for open quantum many-body systems
• Variational principle for steady states of dissipative quantum many-body systems
• Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
• A concise review of Rydberg atom based quantum computation and quantum simulation
• Heralded magnetism in non-Hermitian atomic systems
• Entanglement tongue and quantum synchronization of disordered oscillators
• Universal non-equilibrium properties of dissipative Rydberg gases
• Full counting statistics and phase diagram of a dissipative Rydberg gas
• Entanglement and spin squeezing in non-Hermitian phase transitions
• Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
• Bistability vs. Metastability in Driven Dissipative Rydberg Gases
• Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
• Bose-Hubbard Model: Relation Between Driven-Dissipative Steady-States and Equilibrium Quantum Phases
• Multicritical behavior in dissipative Ising models
• Quantum correlations in the 1-D driven dissipative transverse field XY model
• Collective phases of strongly interacting cavity photons
• Driven-dissipative many-body systems with mixed power-law interactions: Bistabilities and temperature-driven non-equilibrium phase transitions
• Simplified scheme for entanglement preparation with Rydberg pumping via dissipation
• Steady States of Infinite-Size Dissipative Quantum Chains via Imaginary Time Evolution
• Coherence in a cold atom photon transistor
• Time evolution of open quantum many-body systems
• Quantum-optical magnets with competing short- and long-range interactions: Rydberg-dressed spin lattice in an optical cavity
• Quantum optical non-linearities induced by Rydberg-Rydberg interactions: a perturbative approach
• Wireless network control of interacting Rydberg atoms
• Dissipative transverse-field Ising model: steady-state correlations and spin squeezing
• Open-system many-body dynamics through interferometric measurements and feedback
• Superfluid-Mott transitions and vortices in the Jaynes-Cummings-Hubbard lattices with time reversal symmetry breaking
• Phases, collective modes, and non-equilibrium dynamics of dissipative Rydberg atoms
• Superradiance-induced multistability in driven Rydberg lattice gases
• Atomic loss and gain as a resource for non-equilibrium phase transitions in optical lattices
• Quantum signature for laser-driven correlated excitation of Rydberg atoms
• Relativistic quantum field theory of stochastic dynamics in the Hilbert space
• Dynamics and Quantum correlations in Two independently driven Rydberg atoms with distinct laser fields
• Steady states of a driven dissipative dipolar XXZ chain
• Dissipation-sensitive multi-photon excitations of strongly interacting Rydberg atoms
• Non-equilibrium fluctuations and metastability arising from non-additive interactions in dissipative multi-component Rydberg gases
• Non-equilibrium physics of Rydberg lattices in the presence of noise and dissipative processes
• The failure of semiclassical approach in the dissipative fully-connected Ising model
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Resolving mean-field solutions of dissipative phase transitions using permutational symmetry