Quantum chaos and thermalization in the two-mode Dicke model
- URL: http://arxiv.org/abs/2207.03825v2
- Date: Wed, 13 Jul 2022 15:56:26 GMT
- Title: Quantum chaos and thermalization in the two-mode Dicke model
- Authors: Aleksandrina V. Kirkova and Peter A. Ivanov
- Abstract summary: We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model.
The two-mode Dicke model exhibits normal to superradiant quantum phase transition.
We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
- Score: 77.34726150561087
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We discuss the onset of quantum chaos and thermalization in the two-mode
Dicke model, which describes the dipolar interaction between an ensemble of
spins and two bosonic modes. The two-mode Dicke model exhibits normal to
superradiant quantum phase transition with spontaneous breaking either of a
discrete or continuous symmetry. We study the behaviour of the fidelity
out-of-time-order correlator derived from the Loschmidt echo signal in the
quantum phases of the model and show that its exponential growth cannot be
related to a classical unstable point in the general case. Moreover, we find
that the collective spin observable in the two-mode Dicke model quickly
saturates to its long-time average value, and shows very good agreement between
its diagonal ensemble average and microcanonical average even for a small
number of spins. We show that the temporal fluctuations of the expectation
value of the collective spin observable around its average are small and
decrease with the effective system size, which leads to thermalization of the
spin system.
Related papers
- Onset of Quantum Thermalization in Jahn-Teller model [0.0]
We investigate the onset of quantum thermalization in a system governed by the Jahn-Teller Hamiltonian.
We show that the expectation value of the spin observable quickly approaches its long-time average value.
arXiv Detail & Related papers (2024-05-09T08:50:17Z) - Dynamics of a Generalized Dicke Model for Spin-1 Atoms [0.0]
The Dicke model is a staple of theoretical cavity Quantum Electrodynamics (cavity QED)
It demonstrates a rich variety of dynamics such as phase transitions, phase multistability, and chaos.
The varied and complex behaviours admitted by the model highlights the need to more rigorously map its dynamics.
arXiv Detail & Related papers (2024-03-04T04:09:35Z) - Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it.
We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z) - Quantum chaos in the Dicke model and its variants [0.0]
We calculate the out-of-time-ordered correlator (OTOC) for different variations of the Dicke model in an open quantum system setting.
This becomes important for the experimental studies of the OTOC and quantum chaos in the models of quantum optics.
arXiv Detail & Related papers (2023-05-24T18:53:33Z) - Photoinduced prethermal order parameter dynamics in the two-dimensional
large-$N$ Hubbard-Heisenberg model [77.34726150561087]
We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model.
We simulate the light-induced transition between two competing phases.
arXiv Detail & Related papers (2022-05-13T13:13:31Z) - Clean two-dimensional Floquet time-crystal [68.8204255655161]
We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips.
We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry.
We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
arXiv Detail & Related papers (2022-05-10T13:04:43Z) - Out-of-time-order correlator in the quantum Rabi model [62.997667081978825]
We show that out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase.
We show that the effective time-averaged dimension of the quantum Rabi system can be large compared to the spin system size.
arXiv Detail & Related papers (2022-01-17T10:56:57Z) - Probing Majorana Modes via Local Spin Dynamics [0.0]
We study Majorana modes in a quantum spin chain with bond-dependent exchange interactions.
Here, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called Kitaev critical point.
We derive perturbative interactions that map the KH spin chain onto the topological regime of Kitaev's fermionic model.
arXiv Detail & Related papers (2021-12-30T12:40:53Z) - Geometric phase in a dissipative Jaynes-Cummings model: theoretical
explanation for resonance robustness [68.8204255655161]
We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models.
In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls.
We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
arXiv Detail & Related papers (2021-10-27T15:27:54Z) - The nonlinear semiclassical dynamics of the unbalanced, open Dicke model [0.0]
The Dicke model exhibits a quantum phase transition to a state in which the atoms collectively emit light into the cavity mode, known as superradiance.
We study this system in the semiclassical (mean field) limit, neglecting the role of quantum fluctuations.
We find that a flip of the collective spin can result in the sudden emergence of chaotic dynamics.
arXiv Detail & Related papers (2020-04-09T11:13:20Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.