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H 1 Entropy and entanglement bounds for reduced density matrices of fermionic states

Auteurs : Lieb, Elliott H. (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : One of the important aspects of many-body quantum mechanics of electrons is the analysis of two-body density matrices. While the characterization of one-body density matrices is well known and simple to state, that of two-body matrices is far from simple - indeed, it is not fully known. In this talk I will present joint work with Eric Carlen in which we study the possible entropy of such matrices. We find, inter alia, that minimum entropy is achieved for Slater determinant N-body parent functions. Thus, from the entropic point of view, Slater determinants play the same role as condensates play for bosons.

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      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 22/08/14
      Date de captation : 11/06/14
      Collection : Mathematical Physics
      Sous collection : Research talks
      Format : quicktime ; audio/x-aac
      Domaine : Mathematical Physics
      Durée : 00:51:53
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2014-06-11_Lieb.mp4

    Informations sur la rencontre

    Nom de la rencontre : Spectral days / Journées méthodes spectrales
    Organisateurs de la rencontre : Barbaroux, Jean-Marie ; Germinet, François ; Joye, Alain ; Warzel, Simone
    Dates : 09/06/14 - 13/06/14
    Année de la rencontre : 2014
    URL Congrès : http://barbarou.univ-tln.fr/spectraldays/sd

    Citation Data

    DOI : 10.24350/CIRM.V.18574003
    Cite this video as: Lieb, Elliott H. (2014). Entropy and entanglement bounds for reduced density matrices of fermionic states. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18574003
    URI : http://dx.doi.org/10.24350/CIRM.V.18574003


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