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CATEGORIES:Lectures & Presentations
DESCRIPTION:Speaker: Valentin Zagrebnov (Institut de Mathématiques de Marse
 ille\, France)\n\nTitle: Permanental Random Point Process and BEC\n\nAbstra
 ct: This is lecture a short review of applications of the Permanental Rando
 m Point Processes (PRPP) method to description of the Bose-Einstein Condens
 ation (BEC) in quantum Bose-gas (will be explained/defined). After recall o
 f the Determinantal/Permanental Random Point Processes formalism a link wit
 h the quantum Bose-gas and BEC of the non-interacting PRPP is outlined. The
  next level of discussion is BEC of interacting PRPP in the Mean-Field appr
 oximation. This result is combined with the BEC of PRPP in weak harmonic tr
 aps. Then limit theorems\, including the Large Deviation Principle\, are pr
 esented for non-interacting PRPP in the infinite size limit of weak harmoni
 c traps to describe the position distribution of bosons in BEC. Position di
 stributions of constituent particles of the PRPP trapped in exponentially (
 and polynomially) anisotropic traps is a subject of discussion for BEC and 
 for normal phases. For exponentially anisotropic case one observes a genera
 lised BEC and qualitatively different PRPP particle density distributions.
DTEND:20210406T200000Z
DTSTAMP:20260418T103009Z
DTSTART:20210406T190000Z
LOCATION:
SEQUENCE:0
SUMMARY:Probability and Stochastic Processes Seminar
UID:tag:localist.com\,2008:EventInstance_35943877025198
URL:https://calendar.utk.edu/event/probability_and_stochastic_processes_sem
 inar_76
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