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

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