Dynamic mean-field theory for dense spin systems at infinite temperature

Gräßer, Timo; Bleicker, Philip; Hering, Dag-Björn; Yarmohammadi, Mohsen; Uhrig, Götz S.

Dynamic mean-field theory for dense spin systems at infinite temperature

dc.contributor.author	Gräßer, Timo
dc.contributor.author	Bleicker, Philip
dc.contributor.author	Hering, Dag-Björn
dc.contributor.author	Yarmohammadi, Mohsen
dc.contributor.author	Uhrig, Götz S.
dc.date.accessioned	2021-12-14T08:05:15Z
dc.date.available	2021-12-14T08:05:15Z
dc.date.issued	2021-12-10
dc.description.abstract	A dynamic mean-field theory for spin ensembles (spinDMFT) at infinite temperatures on arbitrary lattices is established. The approach is introduced for an isotropic Heisenberg model with S=12 and external field. For large coordination numbers, it is shown that the effect of the environment of each spin is captured by a classical time-dependent random mean field which is normally distributed. Expectation values are calculated by averaging over these mean fields, i.e., by a path integral over the normal distributions. A self-consistency condition is derived by linking the moments defining the normal distributions to spin autocorrelations. In this framework, we explicitly show how the rotating-wave approximation becomes a valid description for increasing magnetic field. We also demonstrate that the approach can easily be extended. Exemplarily, we employ it to reach a quantitative understanding of a dense ensemble of spins with dipolar interaction which are distributed randomly on a plane including static Gaussian noise as well.	en
dc.identifier.uri	http://hdl.handle.net/2003/40603
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-22473
dc.language.iso	en	de
dc.relation.ispartofseries	Phys. Rev. Research;3
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	Dipolar interaction	en
dc.subject	Nitrogen vacancy centers in diamond	en
dc.subject	Dynamical mean field theory	en
dc.subject	Heisenberg model	en
dc.subject	Atomic, molecular & optical	en
dc.subject	Statistical physics	en
dc.subject	Condensed matter & materials physics	en
dc.subject	Quantum information	en
dc.subject.ddc	530
dc.subject.rswk	Dipol-Dipol-Wechselwirkung	de
dc.subject.rswk	Gitterbaufehler	de
dc.subject.rswk	Stickstoff	de
dc.subject.rswk	Diamantstruktur	de
dc.subject.rswk	Heisenberg-Modell	de
dc.subject.rswk	Statistische Physik	de
dc.subject.rswk	Monte-Carlo-Simulation	de
dc.subject.rswk	Spin	de
dc.subject.rswk	Dynamische Molekularfeldtheorie	de
dc.subject.rswk	Kondensierte Materie	de
dc.subject.rswk	Festkörperphysik	de
dc.title	Dynamic mean-field theory for dense spin systems at infinite temperature	en
dc.type	Text	de
dc.type.publicationtype	article	de
dcterms.accessRights	open access
eldorado.secondarypublication	true	de
eldorado.secondarypublication.primarycitation	Gräßer, T.; Bleicker, P.; Hering, D.-B.; Yarmohammadi, M.; Uhrig, G. S. (2021) Dynamic mean-field theory for dense spin systems at infinite temperature. Phys. Rev. Research 3(4), 043168.	de
eldorado.secondarypublication.primaryidentifier	https://doi.org/10.1103/PhysRevResearch.3.043168	de

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