Decoherence and Localization in Quantum Two-Level Systems

Details Decoherence and Localization in Quantum Two-Level Systems Decoherence and Localization in Quantum Two-Level Systems

1996-05-31

arxiv.org/abs/gr-qc/9605071v1

Physica A248:393,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages, revtex, no figures

Scientific paper

We study and compare the decoherent histories approach, the environment-induced decoherence and the localization properties of thesolutions to the stochastic Schr\"{o}dinger equation in quantum jump simulationand quantum state diffusion approaches, for a quantum two-level system model. We show, in particular, that there is a close connection between the decoherent histories and the quantum jump simulation, complementing a connection with the quantum state diffusion approach noted earlier by Di\'{o}si, Gisin, Halliwell and Percival. In the case of the decoherent histories analysis, the degree of approximate decoherence is discussed in detail.

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