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1.
Multifractality in quasienergy space of coherent states as a signature of quantum chaos
Qian Wang, Marko Robnik, 2021, izvirni znanstveni članek

Opis: We present the multifractal analysis of coherent states in kicked top model by expanding them in the basis of Floquet operator eigenstates. We demonstrate the manifestation of phase space structures in the multifractal properties of coherent states. In the classical limit, the classical dynamical map can be constructed, allowing us to explore the corresponding phase space portraits and to calculate the Lyapunov exponent. By tuning the kicking strength, the system undergoes a transition from regularity to chaos. We show that the variation of multifractal dimensions of coherent states with kicking strength is able to capture the structural changes of the phase space. The onset of chaos is clearly identified by the phase-space-averaged multifractal dimensions, which are well described by random matrix theory in a strongly chaotic regime. We further investigate the probability distribution of expansion coefficients, and show that the deviation between the numerical results and the prediction of random matrix theory behaves as a reliable detector of quantum chaos.
Ključne besede: quantum chaos, multifractal analysis, kicked top, coherent states
Objavljeno v DKUM: 13.10.2023; Ogledov: 257; Prenosov: 16
.pdf Celotno besedilo (3,13 MB)
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2.
Quantum chaos in the extended Dicke model
Qian Wang, 2022, izvirni znanstveni članek

Opis: We systematically study the chaotic signatures in a quantum many-body system consisting of an ensemble of interacting two-level atoms coupled to a single-mode bosonic field, the so-called extended Dicke model. The presence of the atom–atom interaction also leads us to explore how the atomic interaction affects the chaotic characters of the model. By analyzing the energy spectral statistics and the structure of eigenstates, we reveal the quantum signatures of chaos in the model and discuss the effect of the atomic interaction. We also investigate the dependence of the boundary of chaos extracted from both eigenvalue-based and eigenstate-based indicators on the atomic interaction. We show that the impact of the atomic interaction on the spectral statistics is stronger than on the structure of eigenstates. Qualitatively, the integrablity-to-chaos transition found in the Dicke model is amplified when the interatomic interaction in the extended Dicke model is switched on.
Ključne besede: quantum chaos, extended Dicke model, spectral statistics, eigenstate structure
Objavljeno v DKUM: 13.10.2023; Ogledov: 159; Prenosov: 15
.pdf Celotno besedilo (3,46 MB)
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