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DTSTAMP:20260425T075319Z
UID:6687bf08e3d21908527427@ist.ac.at
DTSTART:20250610T161500
DTEND:20250610T174500
DESCRIPTION:Speaker: Andreas Deuchert\nhosted by Robert Seiringer\nAbstract
 : We consider the homogeneous mean-field Bose gas at temperatures proporti
 onal to the critical temperature of its Bose-Einstein condensation phase t
 ransition. We prove a trace norm approximation for the grand canonical Gib
 bs state in terms of a reference state\, which is given by a convex combin
 ation of products of coherent states and Gibbs states associated with cert
 ain temperature-dependent Bogoliubov Hamiltonians. The convex combination 
 is expressed as an integral over a Gibbs distribution of a one-mode 4-theo
 ry describing the condensate. This result justifies an analogue of Lee and
  Yang's extension of Bogoliubov theory to positive temperatures\, and it a
 llows us to derive various limiting distributions for the number of partic
 les in the condensate\, as well as precise formulas for the one- and two-p
 article density matrices of the Gibbs state. Key ingredients of our proof\
 , which are of independent interest\, include two novel abstract correlati
 on inequalities. The proof of one of them is based on an application of an
  infinite-dimensional version of Stahl's theorem. This is joint work with 
 Phan Tnh Nam and Marcin Napikowski.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Andreas Deuchert: The Gibbs state of the mean-field Bose gas
URL:https://talks-calendar.ista.ac.at/events/5850
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