Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série FORUM-ENS
Domaines cond-mat.stat-mech
Date Mercredi 12 Novembre 2025
Heure 11:00
Institut LPENS
Salle L378
Nom de l'orateur Debertolis
Prenom de l'orateur Maxime
Addresse email de l'orateur
Institution de l'orateur
Titre Natural super-orbitals representation of many-body operators
Résumé We present the concept of natural super-orbitals for many-body operators, defined as the eigenvectors of the one-body super-density matrix associated with a vectorized operator. We relate these objects to measures of non-Gaussianity of operators associated to the occupations of the natural super-orbitals. We first analyze the general analytical properties of these objects for various typical examples, and then perform a numerical investigation of the natural super-orbitals corresponding to both the time-evolution operator and a time-evolved local operator in the t-V model and in a quantum impurity model. Occupations of the natural orbitals for both operators decay exponentially at all times. This indicates that only a small number of orbitals contribute significantly to quantum correlations, enabling a compact matrix-product-operator representation. This framework opens the door to future research that leverages the compressed structure of operators in their natural super-orbital basis, enabling for instance the computation of out-of-time-order correlators in large interacting systems over extended time scales.
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