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 |
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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 |
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tib.accessRights |
frei zug�nglich |
|