Modeling the Impact of Hamiltonian Perturbations on Expectation Value Dynamics

DC FieldValueLanguage
dc.contributor.authorHeveling, Robin
dc.contributor.authorKnipschild, Lars
dc.contributor.authorGemmer, Jochen
dc.date.accessioned2021-12-23T16:03:46Z-
dc.date.available2021-12-23T16:03:46Z-
dc.date.issued2020
dc.identifier.issn09320784
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/6192-
dc.description.abstractEvidently, some relaxation dynamics, e.g. exponential decays, are much more common in nature than others. Recently there have been attempts to explain this observation on the basis of ``typicality of perturbations'' with respect to their impact on expectation value dynamics. These theories suggest that a majority of the very numerous, possible Hamiltonian perturbations entail more or less the same type of alteration of the decay dynamics. Thus, in this paper, we study how the approach towards equilibrium in closed quantum systems is altered due to weak perturbations. To this end, we perform numerical experiments on a particular, exemplary spin system. We compare our numerical data to predictions from three particular theories. We find satisfying agreement in the weak perturbation regime for one of these approaches.
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (DFG)German Research Foundation (DFG) [FOR 2692, 397107022]; We thank P. Reimann and L. Dabelow for fruitful discusssions on this subject. This work was supported by the Deutsche Forschungsgemeinschaft (DFG) within the Research Unit FOR 2692 under Funder Id: http://dx.doi.org/10.13039/501100001659, Grant No. 397107022.
dc.language.isoen
dc.publisherWALTER DE GRUYTER GMBH
dc.relation.ispartofZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
dc.subjectChemistry
dc.subjectChemistry, Physical
dc.subjectEquilibration
dc.subjectExponential Decay
dc.subjectPertubation Theory
dc.subjectPhysics
dc.subjectPhysics, Multidisciplinary
dc.subjectSpin Systems
dc.titleModeling the Impact of Hamiltonian Perturbations on Expectation Value Dynamics
dc.typejournal article
dc.identifier.doi10.1515/zna-2020-0034
dc.identifier.isiISI:000533534800010
dc.description.volume75
dc.description.issue5, SI
dc.description.startpage475
dc.description.endpage481
dc.identifier.eissn18657109
dc.publisher.placeGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
dcterms.isPartOf.abbreviationZ. Naturfors. Sect. A-J. Phys. Sci.
dcterms.oaStatusGreen Submitted, Bronze
crisitem.author.netidGeJo743-
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