Modeling the Impact of Hamiltonian Perturbations on Expectation Value Dynamics

Autor(en): Heveling, Robin
Knipschild, Lars
Gemmer, Jochen 
Stichwörter: Chemistry; Chemistry, Physical; Equilibration; Exponential Decay; Pertubation Theory; Physics; Physics, Multidisciplinary; Spin Systems
Erscheinungsdatum: 2020
Herausgeber: WALTER DE GRUYTER GMBH
Journal: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
Volumen: 75
Ausgabe: 5, SI
Startseite: 475
Seitenende: 481
Zusammenfassung: 
Evidently, 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.
ISSN: 09320784
DOI: 10.1515/zna-2020-0034

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