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

Davide Rossini·Giuliano Benenti·Giulio Casati
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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.

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Davide Rossini, Giuliano Benenti, Giulio Casati. 2006-06-08. Conservative chaotic map as a model of quantum many-body environment. https://doi.org/10.1103/physreve.74.036209

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