Exact dynamics in the inhomogeneous central-spin model

dc.contributor.authorStolze, Joachim
dc.contributor.authorBortz, Michael
dc.date.accessioned2008-06-06T12:05:02Z
dc.date.available2008-06-06T12:05:02Z
dc.date.issued2007-07-26
dc.description.abstractWe study the dynamics of a single spin 1/2 coupled to a bath of spins 1/2 by inhomogeneous Heisenberg couplings including a central magnetic field. This central-spin model describes decoherence in quantum bit systems. An exact formula for the dynamics of the central spin is presented, based on the Bethe ansatz. For initially completely polarized bath spins and small magnetic field, we find persistent oscillations of the central spin about a nonzero mean value. For a large number of bath spins Nb, the oscillation frequency is proportional to Nb, whereas the amplitude behaves as 1/Nb, to leading order. No asymptotic decay of the oscillations due to the nonuniform couplings is observed, in contrast to some recent studies.en
dc.identifier.citationBortz, Michael; Stolze, Joachim: Exact dynamics in the inhomogeneous central-spin model. In: Physical Review B Jg. 76(2007), 014304, doi: 10.1103/PhysRevB.76.014304.de
dc.identifier.doi10.1103/PhysRevB.76.014304
dc.identifier.urihttp://hdl.handle.net/2003/25458
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-3042
dc.identifier.urlhttp://dx.doi.org/10.1103/PhysRevB.76.014304
dc.language.isoende
dc.publisherThe American Physical Societyen
dc.rights©2007 The American Physical Societyen
dc.subject.ddc530
dc.titleExact dynamics in the inhomogeneous central-spin modelen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsrestricted

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