Stabilizing strongly correlated photon fluids with non-Markovian reservoirs

Abstract

We introduce a novel frequency-dependent incoherent pump scheme with a square-shaped spectrum as a way to study strongly correlated photons in arrays of coupled nonlinear resonators. This scheme can be implemented via a reservoir of population-inverted two-level emitters with a broad distribution of transition frequencies. Our proposal is predicted to stabilize a non-equilibrium steady state sharing important features with a zero-temperature equilibrium state with a tunable chemical potential. We confirm the efficiency of our proposal for the Bose-Hubbard model by computing numerically the steady state for finite system sizes: first, we predict the occurrence of a sequence of incompressible Mott-Insulator-like states with arbitrary integer densities presenting strong robustness against tunneling and losses. Secondly, for stronger tunneling amplitudes or non-integer densities, the system enters a coherent regime analogous to the superfluid state. In addition to an overall agreement with the zero-temperature equilibrium state, exotic non-equilibrium processes leading to a finite entropy generation are pointed out in specific regions of parameter space. The equilibrium ground state is shown to be recovered by adding frequency-dependent losses. The promise of this improved scheme in view of quantum simulation of the zero temperature many-body physics is highlighted.

References in corpus (37)

• Quantum fluids of light
• Imaging topological edge states in silicon photonics
• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• Observation of Superfluidity of Polaritons in Semiconductor Microcavities
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Coherent generation of nonclassical light on a chip via photon-induced tunneling and blockade
• Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Direct observation of Dirac cones and a flatband in a honeycomb lattice for polaritons
• Cooperative optical non-linearity due to dipolar interactions in an ultra-cold Rydberg ensemble
• Cooperative atom-light interaction in a blockaded Rydberg ensemble
• The Mott insulator transition in two dimensions
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Strongly correlated photons on a chip
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Dispersive Photon Blockade in a Superconducting Circuit
• Quantum simulations and many-body physics with light
• Fermionized photons in an array of driven dissipative nonlinear cavities
• Quantum Simulation with Interacting Photons
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Fractional quantum Hall states of photons in an array of dissipative coupled cavities
• Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential
• Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
• Photon solid phases in driven arrays of nonlinearly coupled cavities
• Exact Parent Hamiltonian for the Quantum Hall States in a Optical Lattice
• Many-body phenomena in QED-cavity arrays
• Induced self-stabilization in fractional quantum Hall states of light
• A Very Small Logical Qubit
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Chemical potential for light by parametric coupling
• Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Towards strongly correlated photons in arrays of dissipative nonlinear cavities under a frequency-dependent incoherent pumping
• An Autonomous Stabilizer for Incompressible Photon Fluids and Solids
• Spontaneous, collective coherence in driven, dissipative cavity arrays

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• Edge singularities and quasi-long-range order in non-equilibrium steady states
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• Emergent Finite Frequency Criticality of Driven-Dissipative Correlated Lattice Bosons
• Disorder-Assisted Assembly of Strongly Correlated Fluids of Light
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• Optimal stochastic unraveling of disordered open quantum systems: application to driven-dissipative photonic lattices
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• Nonequilibrium photonic transport and phase transition in an array of optical cavities
• Particle-hole character of the Higgs and Goldstone modes in strongly-interacting lattice bosons
• Pseudo-thermalization in driven-dissipative non-Markovian open quantum systems
• Quantum simulation of zero temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering techniques
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• Multiple single-photon generations in three-level atoms coupled to cavity with non-Markovian effects
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• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits
• Stabilizing the Laughlin state of light: dynamics of hole fractionalization
• Engineering indefinitely long-lived localization in cavity-QED arrays
• Nonuniform phases in the geometrically frustrated dissipative XYZ model
• Excitations and correlations in the driven-dissipative Bose-Hubbard model
• Correspondence between dissipative phase transitions of light and time crystals
• On the stability of dissipatively-prepared Mott insulators of photons
• How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
• Localization to delocalization transition in a driven nonlinear cavity array
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