Typicality versus thermality: An analytic distinction

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dc.creatorBalasubramanian, Vijay
dc.creatorCzech, Bartlomiej
dc.creatorHubeny, Veronika
dc.creatorLarjo, Klaus
dc.creatorRangamani, Mukund
dc.creatorSimon, Joan
dc.date2007-01-12
dc.date2007-02-03
dc.date.accessioned2026-07-07T11:59:38Z
dc.date.available2026-07-07T11:59:38Z
dc.descriptionIn systems with a large degeneracy of states such as black holes, one expects that the average value of probe correlation functions will be well approximated by the thermal ensemble. To understand how correlation functions in individual microstates differ from the canonical ensemble average and from each other, we study the variances in correlators. Using general statistical considerations, we show that the variance between microstates will be exponentially suppressed in the entropy. However, by exploiting the analytic properties of correlation functions we argue that these variances are amplified in imaginary time, thereby distinguishing pure states from the thermal density matrix. We demonstrate our general results in specific examples and argue that our results apply to the microstates of black holes.
dc.description22 pages + appendices, 3 eps figures
dc.identifierhttps://arxiv.org/abs/hep-th/0701122
dc.identifierhttp://arxiv.org/abs/hep-th/0701122
dc.identifierGen.Rel.Grav.40:1863-1890,2008
dc.identifierdoi:10.1007/s10714-008-0606-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206633
dc.subjectHigh Energy Physics - Theory
dc.titleTypicality versus thermality: An analytic distinction
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