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Published on: June 8, 2018
Classical dynamics of quantum entanglement
Giulio Casati1, Italo Guarneri, Jose Reslen
1Consorzio Nazionale Italiano di Struttura della Materia, Consiglio Nazionale delle Ricerche, Istituto Nazionale per la Fisica della Materia, and Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria, Via Valleggio 11, I-22100 Como, Italy.
Quantum entanglement generation in two-particle systems shows a finite nonzero entanglement entropy as Planck
Area of Science:
- Quantum mechanics
- Quantum information theory
- Computational physics
Background:
- Quantum entanglement is a fundamental quantum phenomenon.
- Understanding entanglement dynamics is crucial for quantum technologies.
- The role of classical dynamics in quantum entanglement is an open question.
Purpose of the Study:
- To numerically investigate the dynamical generation of quantum entanglement.
- To explore the behavior of entanglement entropy in the classical limit (ℏ→0).
- To compare quantum entanglement generation with classical chaotic and regular dynamics.
Main Methods:
- Numerical analysis of a two-interacting-particle system.
- Simulation of systems starting from a coherent separable state.
- Calculation of entanglement entropy for decreasing values of the Planck constant (ℏ).
Main Results:
- Entanglement entropy converges to a finite, nonzero value as ℏ→0.
- Classical computations accurately reproduce the time dependence of entanglement entropy in the limit.
- Distinct entanglement generation mechanisms exist for classically chaotic versus regular systems.
Conclusions:
- Quantum entanglement generation in this system is robust in the classical limit.
- Classical mechanics can capture key aspects of quantum entanglement dynamics.
- The nature of classical dynamics (chaotic or regular) influences entanglement generation pathways.
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