Many-body localization in presence of cavity mediated long-range interactions

Abstract

We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact diagonalization and finite-size scaling. The time evolution from a random initial state exhibits features consistent with the localization picture. The dynamics can be observed with quantum gases in optical cavities, localization can be revealed through the time-dependent dynamics of the light emitted by the resonator.

30pp. significantly modified and expanded version

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Cited by in corpus (27)

• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
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• Challenges to observation of many-body localization
• Many-Body Localization in the Age of Classical Computing
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• Ergodicity breaking with long range cavity induced quasiperiodic interactions
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Bond order via cavity-mediated interactions
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• Many-body localization in a quantum gas with long-range interactions and linear external potential
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• Master Equation for a Quantum Gas of Polarizable Particles in Cavities
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• Disappearance of measurement-induced phase transition in a quantum spin system for large sizes
• Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases
• Quantum Multicritical Behavior for Coupled Optical Cavities with Driven Laser Fields