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DESCRIPTION:TITLE: On Bose-Einstein condensation in the Luttinger-Sy model
with contact interaction\, Part 2\n\nSPEAKER: Maximilian Pechmann\, UTK\n\n
ABSTRACT: We study bosons on the real line in a Poisson random potential (L
uttinger-Sy model) with contact interaction in the thermodynamic limit at a
bsolute zero temperature. We prove that generalized Bose-Einstein condensat
ion (BEC) occurs almost surely if the intensity $\nu_N$ of the Poisson pote
ntial satisfies $[\ln (N)]^4 / N^{1 - 2\eta} \ll \nu_N \lesssim 1$ for arbi
trary $0 < \eta \le 1/3$. We also show that the contact interaction alters
the type of condensation\, going from a type-I BEC to a type-III BEC as the
strength of this interaction is increased. Furthermore\, for sufficiently
strong contact interactions and $0 < \eta < 1/6$ we prove that the mean par
ticle density in the largest interval is almost surely bounded asymptotical
ly by $\nu_N N^{3/5+\delta}$ for $\delta > 0$.
DTEND:20200303T200000Z
DTSTAMP:20210411T063602Z
DTSTART:20200303T191000Z
LOCATION:Ayres Hall\, 111
SEQUENCE:0
SUMMARY:Probability and Stochastics Seminar
UID:tag:localist.com\,2008:EventInstance_32824567553295
URL:https://calendar.utk.edu/event/probability_and_stochastics_seminar_7807
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