Non-equilibrium Fractional Quantum Hall state of light

Abstract

We investigate the quantum dynamics of systems involving small numbers of strongly interacting photons. Specifically, we develop an efficient method to investigate such systems when they are externally driven with a coherent field. Furthermore, we show how to quantify the many-body quantum state of light via correlation functions. Finally, we apply this method to two strongly interacting cases: the Bose-Hubbard and fractional quantum Hall models, and discuss an implementation of these ideas in atom-photon system.

v2: minor corrections

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• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
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• Engineering topological materials in microwave cavity arrays
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• Electrically tunable artificial gauge potential for polaritons
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Driven dissipative dynamics and topology of quantum impurity systems
• Exciton-exciton interaction beyond the hydrogenic picture in a MoSe${}_2$ monolayer in the strong light-matter coupling regime
• Engineering three-body interaction and Pfaffian states in circuit QED systems
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• Coupling a thermal atomic vapor to an integrated ring resonator
• An Autonomous Stabilizer for Incompressible Photon Fluids and Solids
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• Many-Body Open Quantum Systems
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• A chiral one-dimensional atom using a quantum dot in an open microcavity
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• Stabilizing the Laughlin state of light: dynamics of hole fractionalization
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• Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands
• Stability of Fractional Quantum Hall States in Disordered Photonic Systems
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• Photonic quantum Hall effects
• Synthetic gauge field and pseudospin-orbit interaction in a stacked two-dimensional ring-network lattice