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Article Dans Une Revue Phys.Rev.X Année : 2022

Probing Many-Body Quantum Chaos with Quantum Simulators

Lata Kh Joshi
  • Fonction : Auteur
Andreas Elben
  • Fonction : Auteur
Amit Vikram
  • Fonction : Auteur
Victor Galitski
  • Fonction : Auteur
Peter Zoller
  • Fonction : Auteur

Résumé

The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) can be defined which refer to subsystems of the many-body system. They provide unique insights into energy eigenstate statistics of many-body systems, as we show in an analysis on the basis of random matrix theory and of the eigenstate thermalization hypothesis. We propose a protocol that allows the measurement of the SFF and PSFFs in quantum many-body spin models, within the framework of randomized measurements. Aimed to probe dynamical properties of quantum many-body systems, our scheme employs statistical correlations of local random operations which are applied at different times in a single experiment. Our protocol provides a unified test bed to probe many-body quantum chaotic behavior, thermalization, and many-body localization in closed quantum systems which we illustrate with numerical simulations for Hamiltonian and Floquet many-body spin systems.

Dates et versions

hal-03275919 , version 1 (01-07-2021)

Identifiants

Citer

Lata Kh Joshi, Andreas Elben, Amit Vikram, Benoît Vermersch, Victor Galitski, et al.. Probing Many-Body Quantum Chaos with Quantum Simulators. Phys.Rev.X, 2022, 12 (1), pp.011018. ⟨10.1103/PhysRevX.12.011018⟩. ⟨hal-03275919⟩

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