Nonequilibrium photonic transport and phase transition in an array of optical cavities

Abstract

We characterize photonic transport in a boundary driven array of nonlinear optical cavities. We find that the output field suddenly drops when the chain length is increased beyond a threshold. After this threshold a highly chaotic and unstable regime emerges, which marks the onset of a super-diffusive photonic transport. We show the scaling of the threshold with pump intensity and nonlinearity. Finally, we address the competition of disorder and nonlinearity presenting a diffusive-insulator phase transition.

arXiv comment8 pages, 12 figures (Accepted version, to appear in NJP)

References in corpus (35)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• The many-body localization phase transition
• Many-body localization edge in the random-field Heisenberg chain
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Conduction of Ultracold Fermions Through a Mesoscopic Channel
• Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• Non-equilibrium steady-states in a driven-dissipative superfluid
• Photon solid phases in driven arrays of nonlinearly coupled cavities
• Fractional Quantum Hall State in Coupled Cavities
• Quantum limited amplification and entanglement in coupled nonlinear resonators
• Observation of a Dissipation-Induced Classical to Quantum Transition
• Many-body phenomena in QED-cavity arrays
• Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions
• Single-photon nonlinear optics with Kerr-type nanostructured materials
• Topological pumping of photons in nonlinear resonator arrays
• Nonequilibrium gas-liquid transition in the driven-dissipative photonic lattice
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice
• Exotic attractors of the non-equilibrium Rabi-Hubbard model
• Stabilizing strongly correlated photon fluids with non-Markovian reservoirs
• Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
• Photon transport in a dissipative chain of nonlinear cavities
• Simulation of high-spin Heisenberg models in coupled cavities
• Few-photon transport in many-body photonic systems: A scattering approach
• Stationary discrete solitons in circuit QED
• Photonic currents in driven and dissipative resonator lattices
• Superfluid-insulator transition of two-dimensional disordered Bose gases

Cited by in corpus (13)

• On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
• Linked cluster expansions for open quantum systems on a lattice
• A review on quantum information processing in cavities
• Generic transport formula for a system driven by Markovian reservoirs
• Collective dynamics of inhomogeneously broadened emitters coupled to an optical cavity with narrow linewidth
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Dynamics and transport in the boundary-driven dissipative Klein-Gordon chain
• Chaotic and quantum dynamics in driven-dissipative bosonic chains
• Number of steady states of quantum evolutions
• Thermo-optical dynamics of a nonlinear GaInP photonic crystal nanocavity depend on the optical mode profile
• Entanglement dynamics in dissipative photonic Mott insulators
• Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
• Chaos and quantum regimes in $n$-photon driven, dissipative bosonic chains