Scattering induced dynamical entanglement and the quantum-classical correspondence

Abstract

The generation of entanglement produced by a local potential interaction in a bipartite system is investigated. The degree of entanglement is contrasted with the underlying classical dynamics for a Rydberg molecule (a charged particle colliding on a kicked top). Entanglement is seen to depend on the structure of classical phase-space rather than on the global dynamical regime. As a consequence regular classical dynamics can in certain circumstances be associated with higher entanglement generation than chaotic dynamics. In addition quantum effects also come into play: for example partial revivals, which are expected to persist in the semiclassical limit, affect the long time behaviour of the reduced linear entropy. These results suggest that entanglement may not be a pertinent universal signature of chaos.

Published version

References in corpus (9)

• Dynamical aspects of quantum entanglement for weakly coupled kicked tops
• Entanglement production in coupled chaotic systems : Case of the Kicked Tops
• Semiclassical time-evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems
• Global entangling properties of the coupled kicked tops
• Bounds on general entropy measures
• Semiclassical limit of the entanglement in closed pure systems
• Generation of entanglement in regular systems
• Estimating purity in terms of correlation functions
• Unified theory of bound and scattering molecular Rydberg states as quantum maps

Cited by in corpus (6)

• Entanglement and chaos in the kicked top
• Galilean and Dynamical Invariance of Entanglement in Particle Scattering
• Lyapunov Generation of Entanglement and the Correspondence Principle
• Dynamical entanglement and chaos: the case of Rydberg molecules
• Entanglement in the classical limit: quantum correlations from classical probabilities
• Entanglement dynamics of spins using a few complex trajectories