Spin- and entanglement-dynamics in the central-spin model with homogeneous couplings

dc.contributor.authorStolze, Joachim
dc.contributor.authorBortz, Michael
dc.date.accessioned2008-06-09T08:37:04Z
dc.date.available2008-06-09T08:37:04Z
dc.date.issued2007
dc.description.abstractWe calculate exactly the time-dependent reduced density matrix for the central spin in the central-spin model with homogeneous Heisenberg couplings. Therefrom, the dynamics and the entanglement entropy of the central spin are obtained. A rich variety of behaviours are found, depending on the initial state of the bath spins. For an initially unpolarized unentangled bath, the polarization of the central spin decays to zero in the thermodynamic limit, while its entanglement entropy becomes maximal. On the other hand, if the unpolarized environment is initially in an eigenstate of the total bath spin, the central spin and the entanglement entropy exhibit persistent monochromatic large-amplitude oscillations. This raises the question of to what extent entanglement of the bath spins prevents decoherence of the central spin.en
dc.identifier.citationBortz, Michael; Stolze, Joachim: Spin- and entanglement-dynamics in the central-spin model with homogeneous couplings. In: Journal of Statistical Mechanics 2007, P06018, doi: 10.1088/1742-5468/2007/06/P06018.de
dc.identifier.doi10.1088/1742-5468/2007/06/P06018
dc.identifier.urihttp://hdl.handle.net/2003/25459
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-3077
dc.identifier.urlhttp://dx.doi.org/10.1088/1742-5468/2007/06/P06018
dc.language.isoende
dc.publisherIOP Publishingde
dc.rights© 2007 IOP Publishing Ltd and SISSAen
dc.subjectentanglement in extended quantum systems (theory)en
dc.subjectquantum dots (theory)en
dc.subjectrigorous results in statistical mechanicsen
dc.subject.ddc530
dc.titleSpin- and entanglement-dynamics in the central-spin model with homogeneous couplingsen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsrestricted
eldorado.identifier.urlhttp://arxiv.org/abs/cond-mat/0610856

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