Entanglement dynamics via coherent-state propagators

Abstract

The dynamical generation of entanglement in closed bipartite systems is investigated in the semiclassical regime. We consider a model of two particles, initially prepared in a product of coherent states, evolving in time according to a generic Hamiltonian, and derive a formula for the linear entropy of the reduced density matrix using the semiclassical propagator in the coherent-state representation. The formula is explicitly written in terms of quantities that define the stability of classical trajectories of the underlying classical system. The formalism is then applied to the problem of two nonlinearly coupled harmonic oscillators and the result is shown to be in remarkable agreement with the exact quantum measure of entanglement in the short-time regime. An important byproduct of our approach is a unified semiclassical formula which contemplates both the coherent-state propagator and its complex conjugate.

10 pages

References in corpus (1)

• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom

Cited by in corpus (7)

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• Multiphoton transitions in Josephson-junction qubits (Review Article)
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• Phase space flow in the Husimi representation
• Entanglement dynamics via semiclassical propagators in systems of two spins
• Entanglement dynamics of spins using a few complex trajectories