Multi angle 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.Codes MSC :