Dynamical entanglement and chaos: the case of Rydberg molecules
arXiv:quant-ph/0606069 · doi:10.1103/PhysRevA.73.062335
Abstract
A Rydberg molecule is composed of an outer electron that collides on the residual ionic core. Typical states of Rydberg molecules display entanglement between the outer electron and the core. In this work we quantify the average entanglement of molecular eigenstates and further investigate the time evolution of entanglement production from initially unentangled states. The results are contrasted with the underlying classical dynamics, obtained from the semiclassical limit of the core-electron collision. Our findings indicate that entanglement is not simply correlated with the degree of classical chaos, but rather depends on the specific phase-space features that give rise to inelastic scattering. Hence mixed phase-space or even regular classical dynamics can be associated with high entanglement generation.
References in corpus (8)
- 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
- Generation of entanglement in regular systems
- Scattering induced dynamical entanglement and the quantum-classical correspondence
- Entanglement induced by nonadiabatic chaos
- Unified theory of bound and scattering molecular Rydberg states as quantum maps
Cited by in corpus (9)
- Entanglement and chaos in the kicked top
- Galilean and Dynamical Invariance of Entanglement in Particle Scattering
- Ensemble averaged entanglement of two-particle states in Fock space
- Entanglement between electronic and vibrational degrees of freedom in a laser-driven molecular system
- Entanglement in the classical limit: quantum correlations from classical probabilities
- Quantum-classical correspondence in entanglement production: Entropy and classical tori
- Entanglement of a microcanonical ensemble
- Entanglement dynamics of spins using a few complex trajectories
- Signature candidate of quantum chaos far from the semiclassical regime