Many-body dynamical localization and thermalization

Khripkov, Christine; Vardi, Amichay; Cohen, Doron

doi:10.1103/physreva.101.043603

Cited by 5 publications

(1 citation statement)

References 24 publications

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“…Fascinating phenomena are explored with systems of interacting atoms in triple-well potentials, such as transistorlike behaviors [5][6][7], entanglement generation [8,9], coherent population transfer [10][11][12][13], fragmentation [14,15], quantumclassical correspondence [16][17][18][19][20][21][22], quantum chaos [23][24][25][26][27][28][29][30], superfluidity [31,32], localization [33], and caustics [34], among others [35][36][37][38][39][40][41][42][43][44][45][46][47]. One of the most popular models in this context is the three-well Bose-Hubbard model with short-range interactions and local hopping terms [48,49].…”

Section: Introductionmentioning

confidence: 99%

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

Castro

Foerster

et al. 2022

Phys. Rev. E

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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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