Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série IPHT-STA
Domaines cond-mat
Date Lundi 8 Octobre 2018
Heure 14:00
Institut IPHT
Salle Salle Claude Itzykson, Bât. 774
Nom de l'orateur Satya Majumdar
Prenom de l'orateur
Addresse email de l'orateur
Institution de l'orateur LPTMS Orsay
Titre Kinetic energy of a trapped Fermi gas at finite temperature
Résumé We study the statistics of the kinetic (or equivalently potential) energy for $N$ non-interacting fermions in a 1d harmonic trap of frequency $\omega$, at finite temperature $T$. Remarkably, we find an exact solution for the full distribution of the kinetic energy, at any temperature $T$ and for any $N$. As a function of temperature $T$, and for large $N$, we identify: (i) a quantum regime, for $T \sim \hbar\omega$, where quantum fluctuations dominate and (ii) a thermal regime, for $T \sim N \hbar \omega$, governed by thermal fluctuations. We show how the mean, the variance, as well as the large deviation function associated with the distribution of the kinetic energy cross over from the quantum to the thermal regime as $T$ increases. \\ \\ J. Grela, S.N. Majumdar, G. Schehr, Phys. Rev. Lett., 119, 130601 (2017) \\ A. Grabsch, S.N. Majumdar, G. Schehr, C. Texier, SciPost Phys. 4, 014 (2018)
Numéro de preprint arXiv
Commentaires
Fichiers attachés

Pour obtenir l' affiche de ce séminaire : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]