Related papers: Bridging entanglement dynamics and chaos in semiclassical systems

Bridging entanglement dynamics and chaos in semiclassical systems

URL: http://arxiv.org/abs/2005.03670v3
Date: Wed, 2 Sep 2020 07:48:50 GMT
Title: Bridging entanglement dynamics and chaos in semiclassical systems
Authors: Alessio Lerose and Silvia Pappalardi
Abstract summary: We propose a unifying framework which connects the bipartite and multipartite entanglement growth to the quantifiers of classical and quantum chaos. In the semiclassical regime, the dynamics of the von Neumann entanglement entropy, the spin squeezing, the quantum Fisher information and the out-of-time-order square commutator are governed by the divergence of nearby phase-space trajectories.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: It is widely recognized that entanglement generation and dynamical chaos are intimately related in semiclassical models via the process of decoherence. In this work, we propose a unifying framework which directly connects the bipartite and multipartite entanglement growth to the quantifiers of classical and quantum chaos. In the semiclassical regime, the dynamics of the von Neumann entanglement entropy, the spin squeezing, the quantum Fisher information and the out-of-time-order square commutator are governed by the divergence of nearby phase-space trajectories via the local Lyapunov spectrum, as suggested by previous conjectures in the literature. General analytical predictions are confirmed by detailed numerical calculations for two paradigmatic models, relevant in atomic and optical experiments, which exhibit a regular-to-chaotic transition: the quantum kicked top and the Dicke model.

Related papers

Tensor product random matrix theory [39.58317527488534]
We introduce a real-time field theory approach to the evolution of correlated quantum systems. We describe the full range of such crossover dynamics, from initial product states to a maximum entropy ergodic state.
arXiv Detail & Related papers (2024-04-16T21:40:57Z)
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)
Entanglement dynamics and classical complexity [0.0]
We study the dynamical generation of entanglement for a two-body interacting system, starting from a separable coherent state. We show analytically that in the quasiclassical regime the entanglement growth rate can be simply computed by means of the underlying classical dynamics.
arXiv Detail & Related papers (2022-11-21T07:01:39Z)
Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
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.
arXiv Detail & Related papers (2022-07-08T11:16:29Z)
Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
arXiv Detail & Related papers (2021-08-13T01:44:24Z)
Chaos-Assisted Long-Range Tunneling for Quantum Simulation [22.197954380539915]
We demonstrate that driving such lattice systems in an intermediate regime of modulation maps them onto tight-binding Hamiltonians with chaos-induced long-range hoppings. Such systems can thus be used to enlarge the scope of quantum simulations to experimentally realize long-range models of condensed matter.
arXiv Detail & Related papers (2020-11-03T17:13:21Z)
Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation [0.0]
We study the quantum dissipative Duffing oscillator across a range of system sizes and environmental couplings. We quantify the system sizes where quantum dynamics cannot be simulated using semiclassical or noise-added classical approximations. Our findings generalize the previous surprising result that classically regular orbits can have the greatest quantum-classical differences in the semiclassical regime.
arXiv Detail & Related papers (2020-10-30T22:03:02Z)
Evolution equations for quantum semi-Markov dynamics [0.0]
We investigate the relationship between local and non-local description of open quantum system dynamics. This class of quantum evolutions guarantees mathematically well-defined master equations. We conclude that such an approximation always leads to a Markovian evolution for the considered class of dynamics.
arXiv Detail & Related papers (2020-07-22T08:57:45Z)
Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z)
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.