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SUMMARY:AG Mathematische Physik\, Simone Rademacher (LMU München): La
 rge deviations for Bose-Einstein condensates
UID:e765edab-3eb3-4a07-a337-2ff63ac08855
DESCRIPTION:Simone Rademacher (LMU München) Large deviations for Bose
 -Einstein condensates Abstract: Bose-Einstein condensation (BEC) is a 
 special phenomenon of trapped Bose gases at low temperatures where a m
 acroscopic fraction of the particles occupies the same one-particle qu
 antum state\, called condensate. This talk concerns a probabilistic ap
 proach to BEC: We consider the ground state of an interacting Bose gas
  on the three-dimensional unit torus\, known to exhibit BEC. For weak 
 interactions in the mean-field regime\, we show that bounded one-parti
 cle operators satisfy large deviation estimates and compute the rate f
 unction up to second order. For singular interactions in the Gross-Pit
 aevskii regime\, we prove an upper bound for the tails of the quantum 
 depletion\, the operator counting the number of particles outside the 
 condensate\, based on an explicit asymptotic formula its generating fu
 nction. The talk is based on joint works with Nils Behrmann\, Christia
 n Brennecke and Phan Thanh Nam.
DTSTART:20250710T141500Z
DTEND:20250710T160000Z
LOCATION:Übung 1 / 01.250-128\, Erlangen
DTSTAMP:20260725T074222Z
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