Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging

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dc.creatorBreuer, Heinz-Peter
dc.creatorGemmer, Jochen
dc.creatorMichel, Mathias
dc.date2005-10-24
dc.date2006-01-27
dc.date.accessioned2026-07-07T06:48:47Z
dc.date.available2026-07-07T06:48:47Z
dc.descriptionThe time-convolutionless (TCL) projection operator technique allows a systematic analysis of the non-Markovian quantum dynamics of open systems. We introduce a class of projection superoperators which project the states of the total system onto certain correlated system-environment states. It is shown that the application of the TCL technique to this class of correlated superoperators enables the non-perturbative treatment of the dynamics of system-environment models for which the standard approach fails in any finite order of the coupling strength. We demonstrate further that the correlated superoperators correspond to the idea of a best guess of conditional quantum expectations which is determined by a suitable Hilbert space average. The general approach is illustrated by means of the model of a spin which interacts through randomly distributed couplings with a finite reservoir consisting of two energy bands. Extensive numerical simulations of the full Schroedinger equation of the model reveal the power and efficiency of the method.
dc.description14 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0510177
dc.identifierhttp://arxiv.org/abs/quant-ph/0510177
dc.identifierPhys. Rev. E 73, 016139 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.016139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104142
dc.subjectQuantum Physics
dc.titleNon-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
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