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.

12 pages, 14 figures

References in corpus (19)

• Quantum fluids of light
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• 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
• Operator space entanglement entropy in transverse Ising chain
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Many-body phenomena in QED-cavity arrays
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
• 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
• Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators

Cited by in corpus (12)

• Linked cluster expansions for open quantum systems on a lattice
• A review on quantum information processing in cavities
• 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
• Dynamics and transport in the boundary-driven dissipative Klein-Gordon chain
• Probing Site-Resolved Current in Strongly Interacting Superconducting Circuit Lattices
• Cavity-QED of a quantum metamaterial with tunable disorder
• The scattering coefficients of superconducting microwave resonators: II. System-bath approach
• Number of steady states of quantum evolutions
• Dynamical excitation control and multimode emission of an atom-photon bound state
• Synthetic fractional flux quanta in a ring of superconducting qubits
• Out-of-equilibrium physics in driven dissipative coupled resonator arrays