Compelling bounds on equilibration times-the issue with Fermi's golden rule

Autor(en): Heveling, Robin
Knipschild, Lars
Gemmer, Jochen 
Stichwörter: bounds on equilibration time scales; equilibration in closed quantum systems; Fermi's golden rule; Physics; Physics, Mathematical; Physics, Multidisciplinary
Erscheinungsdatum: 2020
Herausgeber: IOP PUBLISHING LTD
Journal: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volumen: 53
Ausgabe: 37
Zusammenfassung: 
Putting a general, physically relevant upper bound on equilibration times in closed quantum systems is a recently much pursued endeavor. In 2017Phys. Rev.X7031027 Garcia-Pintoset alsuggest such a bound. We point out that the general assumptions which allow for an actual estimation of this bound are violated in cases in which Fermi's golden rule and related open quantum system theories apply. To probe the range of applicability of Fermi's golden rule for systems of the type addressed in the above work, we numerically solve the corresponding Schrodinger equation for some finite spin systems comprising up to 25 spins. These calculations shed light on the breakdown of standard quantum master equations in the `superweak' coupling limit, which occurs for finite sized baths.
ISSN: 17518113
DOI: 10.1088/1751-8121/ab9e2b

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