Photon transport in a dissipative chain of nonlinear cavities

Abstract

We analyze a chain of coupled nonlinear optical cavities driven by a coherent source of light localized at one end and subject to uniform dissipation. We characterize photon transport by studying the populations and the photon correlations as a function of position. When complemented with input-output theory, these quantities provide direct information about photon transmission through the system. The position of single- and multi-photon resonances directly reflect the structure of the many-body energy levels. This shows how a study of transport along a coupled cavity array can provide rich information about the strongly correlated (many-body) states of light even in presence of dissipation. By means of a numerical algorithm based on the time-evolving block decimation scheme adapted to mixed states, we are able to simulate arrays up to sixty cavities.

arXiv comment12 pages, 14 figures

References in corpus (39)

• Efficient classical simulation of slightly entangled quantum computations
• Quantum fluids of light
• Efficient simulation of one-dimensional quantum many-body systems
• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• A single-photon transistor using nano-scale surface plasmons
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Single photons from coupled quantum modes
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
• The truncated Wigner method for Bose condensed gases: limits of validity and applications
• Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
• Fermionized photons in an array of driven dissipative nonlinear cavities
• Operator space entanglement entropy in transverse Ising chain
• Few-photon transport in low-dimensional systems: Interaction-induced radiation trapping
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Photon solid phases in driven arrays of nonlinearly coupled cavities
• Controlling the transport of single photons by tuning the frequency of either one or two cavities in an array of coupled cavities
• Optimal antibunching in passive photonic devices based on coupled nonlinear resonators
• Polariton crystallization in driven arrays of lossy nonlinear resonators
• Many-body phenomena in QED-cavity arrays
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Signatures of the super fluid-insulator phase transition in laser driven dissipative nonlinear cavity arrays
• Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
• Experimental realization of a quantum phase transition of polaritonic excitations
• Complexity of thermal states in quantum spin chains
• Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
• Non-equilibrium many-body effects in driven nonlinear resonator arrays
• Photon transfer in ultrastrongly coupled three-cavity arrays
• Repulsively induced photon super-bunching in driven resonator arrays
• Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
• Spontaneous, collective coherence in driven, dissipative cavity arrays
• Photonic quantum transport in a nonlinear optical fiber
• Cavity-loss induced plateau in coupled cavity QED array

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• Corner space renormalization method for driven-dissipative 2D correlated systems
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• On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
• Photon transport in a Bose-Hubbard chain of superconducting artificial atoms
• Symmetries and conserved quantities of boundary time crystals in generalized spin models
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• Linked cluster expansions for open quantum systems on a lattice
• A review on quantum information processing in cavities
• Dynamical properties of dissipative XYZ Heisenberg lattices
• Two photons co- and counter-propagating through $N$ cross-Kerr sites
• Towards strongly correlated photons in arrays of dissipative nonlinear cavities under a frequency-dependent incoherent pumping
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• Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
• Probing photon correlations in the dark sites of geometrically frustrated cavity lattices
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• Few-photon transport in many-body photonic systems: A scattering approach
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• Optimal stochastic unraveling of disordered open quantum systems: application to driven-dissipative photonic lattices
• Magnon decay theory of Gilbert damping in metallic antiferromagnets
• Truncated correlation hierarchy schemes for driven-dissipative multimode quantum systems
• Non-linear transport in an out-of-equilibrium single-site Bose Hubbard model: scaling, rectification and time dynamics
• Nonequilibrium photonic transport and phase transition in an array of optical cavities
• Photonic currents in driven and dissipative resonator lattices
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• Probing Site-Resolved Current in Strongly Interacting Superconducting Circuit Lattices
• The scattering coefficients of superconducting microwave resonators: II. System-bath approach
• Cavity-QED of a quantum metamaterial with tunable disorder
• Quantum interference induced photon localisation and delocalisation in coupled cavities
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• Theory of double Cooper-pair tunneling and light emission mediated by a resonator
• Dynamical excitation control and multimode emission of an atom-photon bound state
• Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
• Entanglement dynamics in dissipative photonic Mott insulators
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• Out-of-equilibrium physics in driven dissipative coupled resonator arrays