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

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• Efficiency of dynamical decoupling sequences in presence of pulse errors
• Effective protection of quantum coherence by non-Hermitian driving
• Quantum chaotic system as a model of decohering environment
• Energy Dissipation Via Coupling With a Finite Chaotic Environment
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• The role of chaos in quantum communication through a dynamical dephasing channel
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• Typical, finite baths as a means of exact simulation of open quantum systems
• Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors
• Doubly excited ferromagnetic spin-chain as a pair of coupled kicked rotors