Thermal states of random quantum many-body systems

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dc.identifier.uri http://dx.doi.org/10.15488/9161
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/9214
dc.contributor.author Nakata, Yoshifumi
dc.contributor.author Osborne, T.J.
dc.date.accessioned 2019-12-18T07:03:12Z
dc.date.available 2019-12-18T07:03:12Z
dc.date.issued 2014
dc.identifier.citation Nakata, Y.; Osborne, T. J.: Thermal states of random quantum many-body systems. In: Physical Review A 90 (2014), Nr. 5, 50304. DOI: https://doi.org/10.1103/PhysRevA.90.050304
dc.description.abstract We study a distribution of thermal states given by random Hamiltonians with a local structure. We show that the ensemble of thermal states monotonically approaches the unitarily invariant ensemble with decreasing temperature if all particles interact according to a single random interaction and achieves a state t-design at temperature O(1/log(t)). For the system where the random interactions are local, we show that the ensemble achieves a state 1-design. We then provide numerical evidence indicating that the ensemble undergoes a phase transition at finite temperature. eng
dc.language.iso eng
dc.publisher College Park, MD : American Physical Society
dc.relation.ispartofseries Physical Review A 90 (2014), Nr. 5
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject quantum many-body system eng
dc.subject Hilbert space of dimension eng
dc.subject Hermitian matrices eng
dc.subject.ddc 530 | Physik ger
dc.title Thermal states of random quantum many-body systems eng
dc.type article
dc.type Text
dc.relation.essn 2469-9934
dc.relation.issn 2469-9926
dc.relation.doi https://doi.org/10.1103/PhysRevA.90.050304
dc.bibliographicCitation.issue 5
dc.bibliographicCitation.volume 90
dc.bibliographicCitation.firstPage 50304
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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