Conservative chaotic map as a model of quantum many-body environment

Abstract

We study the dynamics of the entanglement between two qubits coupled to a common chaotic environment, described by the quantum kicked rotator model. We show that the kicked rotator, which is a single-particle deterministic dynamical system, can reproduce the effects of a pure dephasing many-body bath. Indeed, in the semiclassical limit the interaction with the kicked rotator can be described as a random phase-kick, so that decoherence is induced in the two-qubit system. We also show that our model can efficiently simulate non-Markovian environments.

8 pages, 4 figures

References in corpus (3)

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Cited by in corpus (6)

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• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• On the correspondence principle: implications from a study of the chaotic dynamics of a macroscopic quantum device
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• Recovery of classical chaotic-like behaviour in a quantum three-body problem
• Statistical bounds on the dynamical production of entanglement