de.mpg.escidoc.pubman.appbase.FacesBean
Deutsch
 
Hilfe Wegweiser Datenschutzhinweis Impressum Kontakt
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT
  Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT

He, S., Lin, F.-L., & Zhang, J.-j. (2017). Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT. Journal of high energy physics: JHEP, 2017(08): 126. doi:10.1007/JHEP08(2017)126.

Item is

Basisdaten

einblenden: ausblenden:
Datensatz-Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-0A30-B Versions-Permalink: http://hdl.handle.net/21.11116/0000-0000-7678-5
Genre: Zeitschriftenartikel

Dateien

einblenden: Dateien
ausblenden: Dateien
:
1703.08724.pdf (Preprint), 659KB
Beschreibung:
File downloaded from arXiv at 2017-04-19 10:54
Sichtbarkeit:
Öffentlich
MIME-Typ / Prüfsumme:
application/pdf / [MD5]
Technische Metadaten:
Copyright Datum:
-
Copyright Info:
-
:
JHEP08(2017)126.pdf (Verlagsversion), 507KB
Beschreibung:
Open Access
Sichtbarkeit:
Öffentlich
MIME-Typ / Prüfsumme:
application/pdf / [MD5]
Technische Metadaten:
Copyright Datum:
-
Copyright Info:
-

Externe Referenzen

einblenden:

Urheber

einblenden:
ausblenden:
 Urheber:
He, Song1, Autor              
Lin, Feng-Li, Autor
Zhang, Jia-ju, Autor
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              

Inhalt

einblenden:
ausblenden:
Schlagwörter: High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech, Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el,Quantum Physics, quant-ph
 Zusammenfassung: In order to investigate subsystem eigenstate thermalization hypothesis (ETH) for two-dimensional large central charge conformal field theory, we evaluate the single-interval R\'enyi entropy and entanglement entropy for a heavy primary state in short interval expansion. We verify the results of R\'enyi entropy by three different replica methods. We find nontrivial results at the eighth order of short interval expansion, which include an infinite number of higher order terms in the large central charge expansion. We then evaluate the relative entropy of the reduced density matrices to measure the difference between the heavy primary state and thermal state, and find that the aforementioned nontrivial eighth order results make the relative entropy unsuppressed in the large central charge limit. By Fannes-Audenaert inequality, these results yield a lower bound on trace distance of the excited state and thermal state reduced density matrices, which is crucial in checking the validity of subsystem ETH. We find that whether the subsystem ETH is violated depends on how the effective dimension of the reduced density matrix scales with the large central charge. If the effective dimension is strictly infinite, then it yields no useful information for checking the validity of subsystem ETH. If the effective dimension scales exponentially with the large central charge, the trace distance is at most power suppressed, and subsystem ETH would be violated, while the local ETH remains intact. As a byproduct we also calculate the relative entropy and distance to measure the difference between the reduced density matrices of two different heavy primary states.

Details

einblenden:
ausblenden:
Sprache(n):
 Datum: 2017-03-252017-03-2920172017
 Publikationsstatus: Im Druck publiziert
 Seiten: 26 pages, 4 figures;v2 change author list
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: arXiv: 1703.08724
URI: http://arxiv.org/abs/1703.08724
DOI: 10.1007/JHEP08(2017)126
 Art des Abschluß: -

Veranstaltung

einblenden:

Entscheidung

einblenden:

Projektinformation

einblenden:

Quelle 1

einblenden:
ausblenden:
Titel: Journal of high energy physics : JHEP
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Bologna, Italy : Società italiana di fisica
Seiten: - Band / Heft: 2017 (08) Artikelnummer: 126 Start- / Endseite: - Identifikator: ISSN: 1126-6708
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111021927548002