Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-12
Gen.Rel.Grav.40:1863-1890,2008
Physics
High Energy Physics
High Energy Physics - Theory
22 pages + appendices, 3 eps figures
Scientific paper
10.1007/s10714-008-0606-8
In 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.
Balasubramanian Vijay
Czech Bartlomiej
Hubeny Veronika
Larjo Klaus
Rangamani Mukund
No associations
LandOfFree
Typicality versus thermality: An analytic distinction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Typicality versus thermality: An analytic distinction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Typicality versus thermality: An analytic distinction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-218379