Quantum signature of chaos and thermalization in the kicked Dicke model.

  title={Quantum signature of chaos and thermalization in the kicked Dicke model.},
  author={Sayak Ray and A Ghosh and Subhasis Sinha},
  journal={Physical review. E},
  volume={94 3-1},
We study the quantum dynamics of the kicked Dicke model (KDM) in terms of the Floquet operator, and we analyze the connection between chaos and thermalization in this context. The Hamiltonian map is constructed by suitably taking the classical limit of the Heisenberg equation of motion to study the corresponding phase-space dynamics, which shows a crossover from regular to chaotic motion by tuning the kicking strength. The fixed-point analysis and calculation of the Lyapunov exponent (LE… 

Fingerprint of chaos and quantum scars in kicked Dicke model: an out-of-time-order correlator study

It is shown that the growth rate of the OTOC for the canonically conjugate coordinates of the oscillator is able to capture the Lyapunov exponent in the chaotic regime, which is supported by a system independent effective random matrix model.

Chaos and Thermalization in the Spin-Boson Dicke Model

We present a detailed analysis of the connection between chaos and the onset of thermalization in the spin-boson Dicke model. This system has a well-defined classical limit with two degrees of

Dynamics of quasiperiodically driven spin systems.

The Sutherland invariant for the underlying SO(3) matrix governing the dynamics of classical spin variables is derived and the fluctuations in the mean values of the spin operators exhibit fractality which is also present in the Floquet eigenstates.

Chaos and quantum scars in a coupled top model.

This work considers a coupled top model describing two interacting large spins, which is studied semiclassically as well as quantum mechanically, and identifies quantum scars as reminiscent of unstable collective dynamics even in the presence of an interaction.

Chaos and Quantum Scars in Bose-Josephson Junction Coupled to a Bosonic Mode.

The imprint of unstable π-oscillation as many body quantum scar (MBQS), which leads to the deviation from ergodicity and quantify the degree of scarring is identified.

Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model

We study the semiclassical limit of the anisotropic two-photon Dicke model with a dissipative bosonic field and describe its rich nonlinear dynamics. Besides normal and ‘superradiant’-like phases,

Chaos in the three-site Bose-Hubbard model -- classical vs quantum

We consider a quantum many-body system — the Bose-Hubbard system on three sites — which has a classical limit, and which is neither strongly chaotic nor integrable but rather shows a mixture of the

Signature of chaos and delocalization in a periodically driven many-body system: An out-of-time-order-correlation study

We study out-of-time-order correlation (OTOC) for one-dimensional periodically driven hardcore bosons in the presence of Aubry-Andr\'e (AA) potential and show that both the spectral properties and

Thermalization in parametrically driven coupled oscillators

  • S. BiswasS. Sinha
  • Physics
    Journal of Statistical Mechanics: Theory and Experiment
  • 2020
We consider a system of two coupled oscillators one of which is driven parametrically and investigate both classical and quantum dynamics within Floquet description. Characteristic changes in the

Drive-induced delocalization in the Aubry-André model.

The single particle delocalization phenomena of the Aubry-André (AA) model subjected to periodic drives is studied, exhibiting multifractality in the spectrum as well as in the Floquet eigenfunctions.



Nonlinear Dynamics And Chaos

The logistic map, a canonical one-dimensional system exhibiting surprisingly complex and aperiodic behavior, is modeled as a function of its chaotic parameter, and the progression through period-doubling bifurcations to the onset of chaos is considered.

Quantum signatures of chaos

The distinction between level clustering and level repulsion is one of the quantum analogues of the classical distinction between globally regular and predominantly chaotic motion (see Figs. 1, 2,

Stochastic behavior of a quantum pendulum under a periodic perturbation

This paper discusses a numerical technique for computing the quantum solutions of a driver pendulum governed by the Hamiltonian $$H = (p_\theta ^2 /2m\ell ^2 ) - [m\ell ^2 \omega _o ^2 \cos \theta

Quantum Chaos?

A referee of one of my grant proposals complained recently that the text did not explain “what is quantum chaos”; the desire for an answer to that question was the sole reason he had agreed to review

Random Matrices

The elementary properties of random matrices are reviewed and widely used mathematical methods for both hermitian and nonhermitian random matrix ensembles are discussed.

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