4.7 Article

Interacting bosons in a triple well: Preface of many-body quantum chaos

Journal

PHYSICAL REVIEW E
Volume 105, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.105.034204

Keywords

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Funding

  1. Brazilian agency CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico)
  2. Sociedade Brasileira de Fisica (SBF) /American Physical Society (APS) through a Brazil- U.S. Physics Student Visit Program
  3. United States National Science Foundation (NSF) [DMR-1936006]

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The onset of quantum chaos in triple-well potential systems of interacting bosons is investigated. Even in its chaotic regime, the system exhibits features reminiscent of integrability.
Systems of interacting bosons in triple-well potentials are of significant theoretical and experimental interest. They are explored in contexts that range from quantum phase transitions and quantum dynamics to semiclassical analysis. Here, we systematically investigate the onset of quantum chaos in a triple-well model that moves away from integrability as its potential gets tilted. Even in its deepest chaotic regime, the system presents features reminiscent of integrability. Our studies are based on level spacing distribution and spectral form factor, structure of the eigenstates, and diagonal and off-diagonal elements of observables in relationship to the eigenstate thermalization hypothesis. With only three sites, the system's eigenstates are at the brink of becoming fully chaotic, so they do not yet exhibit Gaussian distributions, which resonates with the results for the observables.

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