Chaos, entanglement, and decoherence in the quantum kicked top

Shohini Ghose, Rene Stock, Poul S Jessen, Roshan Lal, Andrew Silberfarb

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We analyze the interplay of chaos, entanglement, and decoherence in a system of qubits whose collective behavior is that of a quantum kicked top. The dynamical entanglement between a single qubit and the rest can be calculated from the mean of the collective spin operators. This allows the possibility of efficiently measuring entanglement dynamics in an experimental setting. We consider a deeply quantum regime and show that signatures of chaos are present in the dynamical entanglement for parameters accessible in an experiment that we propose using cold atoms. The evolution of the entanglement depends on the support of the initial state on regular versus chaotic Floquet eigenstates, whose phase-space distributions are concentrated on the corresponding regular or chaotic eigenstructures. We include the effect of decoherence via a realistic model and show that the signatures of chaos in the entanglement dynamics persist in the presence of decoherence. In addition, the classical chaos affects the decoherence rate itself.

Original languageEnglish (US)
Article number042318
JournalPhysical Review A
Volume78
Issue number4
DOIs
StatePublished - Oct 20 2008

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  • Atomic and Molecular Physics, and Optics

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Chaos, entanglement, and decoherence in the quantum kicked top. / Ghose, Shohini; Stock, Rene; Jessen, Poul S; Lal, Roshan; Silberfarb, Andrew.

In: Physical Review A, Vol. 78, No. 4, 042318, 20.10.2008.

Research output: Contribution to journalArticle

Ghose, Shohini ; Stock, Rene ; Jessen, Poul S ; Lal, Roshan ; Silberfarb, Andrew. / Chaos, entanglement, and decoherence in the quantum kicked top. In: Physical Review A. 2008 ; Vol. 78, No. 4.
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