A model of deterministic detector with dynamical decoherence

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dc.creatorLee, Jae Weon
dc.creatorAverin, Dmitri V.
dc.creatorBenenti, Giuliano
dc.creatorShepelyansky, Dima L.
dc.date2005-01-26
dc.date.accessioned2026-07-07T06:12:01Z
dc.date.available2026-07-07T06:12:01Z
dc.descriptionWe discuss a deterministic model of detector coupled to a two-level system (a qubit). The detector is a quasi-classical object whose dynamics is described by the kicked rotator Hamiltonian. We show that in the regime of quantum chaos the detector acts as a chaotic bath and induces decoherence of the qubit. We discuss the dephasing and relaxation rates and demonstrate that several features of Ohmic baths can be reproduced by our fully deterministic model. Moreover, we show that, for strong enough qubit-detector coupling, the dephasing rate is given by the rate of exponential instability of the detector's dynamics, that is, by the Lyapunov exponent of classical motion. Finally, we discuss the measurement in the regimes of strong and weak qubit-detector coupling. For the case of strong coupling the detector performs a measurement of the up/down state of the qubit. In the case of weak coupling, due to chaos, the dynamical evolution of the detector is strongly sensitive to the state of the qubit. However, in this case it is unclear how to extract a signal from any measurement with a coarse-graining in the phase space on a size much larger than the Planck cell.
dc.description9 pages, 11 figs
dc.identifierhttps://arxiv.org/abs/quant-ph/0501153
dc.identifierhttp://arxiv.org/abs/quant-ph/0501153
dc.identifierPhys. Rev. A 72, 012310 (2005)
dc.identifierdoi:10.1103/PhysRevA.72.012310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92664
dc.subjectQuantum Physics
dc.titleA model of deterministic detector with dynamical decoherence
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