Many-body phenomena in QED-cavity arrays

Abstract

Coupled quantum electrodynamics (QED) cavities have been recently proposed as new systems to simulate a variety of equilibrium and non-equilibrium many-body phenomena. We present a brief review of their main properties together with a survey of the last developments of the field and some perspectives concerning their experimental realizations and possible new theoretical directions.

8 pages, 3 figures

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• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
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• Linked cluster expansions for open quantum systems on a lattice
• Emission characteristics of laser-driven dissipative coupled-cavity systems
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Reconfigurable quantum metamaterials
• Cavity-mediated near-critical dissipative dynamics of a driven condensate
• Non-equilibrium fixed points of coupled Ising models
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• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
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• Entanglement replication in driven-dissipative many body systems
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• Persistent currents by reservoir engineering
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• Extended self-energy functional approach for strongly-correlated lattice bosons in the superfluid phase
• Nonequilibrium photonic transport and phase transition in an array of optical cavities
• Nonequilibrium thermodynamics and power generation in open quantum optomechanical systems
• Light propagation in tunable exciton-polariton one-dimensional photonic crystals
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• Quantum Ising dynamics and Majorana-like edge modes in the Rabi lattice model
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• Synthetic spin-orbit coupling and topological polaritons in Janeys-Cummings lattices
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