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DTSTAMP:20260405T054117Z
UID:1707837300@ist.ac.at
DTSTART:20240213T161500
DTEND:20240213T171500
DESCRIPTION:Speaker: Andreas Deuchert\nhosted by Robert Seiringer\nAbstract
 : We consider a homogeneous Bose gas in the Gross--Pitaevskii limit at tem
 peratures that are comparable to the critical temperature for Bose--Einste
 in condensation. Recently\, an upper bound for the grand canonical free en
 ergy was proved in arXiv:2305.19173 [math-ph] capturing two novel contribu
 tions. First\, the free energy of the interacting condensate is given in t
 erms of an effective theory describing the probability distribution of the
  number of condensed particles. Second\, the free energy of the thermally 
 excited particles equals that of a temperature-dependent Bogoliubov Hamilt
 onian. We extend this result to a more general class of interaction potent
 ials\, including interactions with a hard core. Our proof follows a differ
 ent approach than the one in arXiv:2305.19173 [math-ph]: we model microsco
 pic correlations between the particles by a Jastrow factor\, and exploit a
  cancellation in the computation of the energy that emerges due to the dif
 ferent length scales in the system. (This is joint work with Marco Caporal
 etti.)  
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\, 
 ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at 
SUMMARY:Andreas Deuchert: Upper bound for the grand canonical free energy o
 f the Bose gas in the Gross-Pitaevskii limit for general interaction poten
 tials
URL:https://talks-calendar.ista.ac.at/events/4785
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