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DTSTART:20180325T030000
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DTSTAMP:20260403T220817Z
UID:59c8cedc4998a869779034@ist.ac.at
DTSTART:20180320T160000
DTEND:20180320T180000
DESCRIPTION:Speaker: Andreas Deuchert\nhosted by Robert Seiringer\nAbstract
 : We consider an interacting\,  dilute Bose gas trapped in a harmonic pote
 ntial at a positive temperature.  The system is analyzed in a  combination
  of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequ
 ency $\\omega$\, the temperature  $T$ and the particle number $N$ are rela
 ted by $N \\sim (T / \\omega)^{3} \\to\\infty$ while the scattering length
  is so small that the interaction energy per particle around the center of
  the trap is of the same order of magnitude as the spectral gap in the tra
 p. We prove that the difference between the canonical free energy of the i
 nteracting gas and the one of the noninteracting system can be obtained by
  minimizing the GP energy functional. We also prove Bose-Einstein condensa
 tion in the following sense: The one-particle density matrix of any approx
 imate minimizer of the canonical free energy functional is to leading orde
 r given by the one of the noninteracting gas but with the free condensate 
 wavefunction replaced by the GP minimizer. This is joint work with Robert 
 Seiringer and Jakob Yngvaso
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Andreas Deuchert: Bose-Einstein Condensation in a Dilute\, Trapped 
 Gas at Positive Temperature
URL:https://talks-calendar.ista.ac.at/events/1181
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