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TZID:Europe/Paris
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BEGIN:VEVENT
UID:0-642@lptms.universite-paris-saclay.fr
DTSTART:20181126T110000Z
DTEND:20181126T120000Z
DTSTAMP:20181121T103902Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/quantum-journal-c
 lub-christophe-texier/
SUMMARY:Quantum Journal Club: Christophe Texier - LPTMS\, salle 201\, 2ème
  étage\, Bât 100\, Campus d'Orsay - 26 Nov 18 11:00
DESCRIPTION:Correlations of occupation numbers in the canonical ensemble \n
 Christophe Texier (LPTMS\, Université Paris-Sud)\nThe connection between 
 the statistical physics of non-interaction indistinguishable particles in 
 quantum mechanics and the theory of symmetric functions will be reviewed. 
 Then\, I will study the $p$-point correlation function $\\overline{n_1\\cd
 ots n_p}$ of occupation numbers in the canonical ensemble \; in the grand 
 canonical ensemble\, they are trivially obtained from the independence of 
 individual quantum states\, however the constraint on the number of partic
 les makes the problem non trivial in the canonical ensemble. I will show s
 everal representations of these correlation functions. I will illustrate t
 he main formulae by revisiting the problem of Bose-Einstein condensation i
 n a 1D harmonic trap in the canonical ensemble\, for which we have obtaine
 d several analytical results. In particular\, in the temperature regime do
 minated by quantum correlations\, the distribution of the ground state occ
 upancy is shown to be a truncated Gumbel law.\n\nRef: Olivier Giraud\, Aur
 élien Grabsch &amp\; Christophe Texier\, Correlations of occupation numbe
 rs in the canonical ensemble and application to BEC in a 1D harmonic trap\
 , Phys. Rev. A 97\, 053615 (2018).
CATEGORIES:seminars
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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