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DTSTART:20180325T030000
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DTSTAMP:20210726T163143Z
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
T Austria
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Bose-Einstein Condensation in a Dilute\, Trapped Gas at Positive Te
mperature
URL:https://talks-calendar.app.ist.ac.at/events/1181
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