Classical Dynamics of Quantum Entanglement

Abstract

We numerically analyze the dynamical generation of quantum entanglement in a system of 2 interacting particles, started in a coherent separable state, for decreasing values of $\hslash$. As $\hslash \to 0$ the entanglement entropy, computed at any finite time, converges to a finite nonzero value. The limit law that rules the time dependence of entropy is well reproduced by purely classical computations. Its general features may then be explained by simple classical arguments, which expose the different ways entanglement is generated in systems which are classically chaotic or regular.

4 pages, 4 figures. New references to published related work have been added

References in corpus (8)

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Cited by in corpus (12)

• Bridging entanglement dynamics and chaos in semiclassical systems
• Entanglement entropy converges to classical entropy around periodic orbits
• Wigner separability entropy and complexity of quantum dynamics
• The $\hslash \to 0$ Limit of the Entanglement Entropy
• Effect of system energy on quantum signatures of chaos in the two-photon Dicke model
• Classical-hidden-variable description for entanglement dynamics of two-qubit pure states
• Entanglement dynamics via semiclassical propagators in systems of two spins
• Complexity and instability of quantum motion near a quantum phase transition
• Quantum and classical complexity in coupled maps
• Entanglement at the interplay between single- and many-bodyness
• Entanglement dynamics of spins using a few complex trajectories
• Interscale entanglement production in a quantum system simulating classical chaos