Bridging entanglement dynamics and chaos in semiclassical systems
arXiv:2005.03670 · doi:10.1103/PhysRevA.102.032404
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.
19 pages, 5 figures, 3 appendices
References in corpus (24)
- Many-Body Physics with Ultracold Gases
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Quantum metrology from a quantum information science perspective
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Fisher Information and entanglement of non-Gaussian spin states
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Entanglement in a first order quantum phase transition
- Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
- Multipartite entanglement in topological quantum phases
- Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
- Chaos, entanglement and decoherence in the quantum kicked top
- Scrambling and Complexity in Phase Space
- Entanglement and chaos in the kicked top
- Entanglement dynamics in chaotic systems
- Non-ergodicity in the Anisotropic Dicke model
- Entanglement and its relationship to classical dynamics
- Quantum Entanglement dependence on bifurcations and scars in non autonomous systems. The case of Quantum Kicked Top
- Quantum Fluctuations in Mesoscopic Systems
- Lyapunov Decoherence Rate in Classically Chaotic Systems
- An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems
- Quantum Chaos on Complexity Geometry
- Parametric Competition in non-autonomous Hamiltonian Systems
Cited by in corpus (7)
- Statistics of phase space localization measures and quantum chaos in the kicked top model
- Multifractality in quasienergy space of coherent states as a signature of quantum chaos
- Fingerprint of chaos and quantum scars in kicked Dicke model: An out-of-time-order correlator study
- Eigenstate thermalization scaling in approaching the classical limit
- Quantum Chaos in the Extended Dicke Model
- Pseudoclassical dynamics of the kicked top
- Entanglement dynamics of spins using a few complex trajectories