Statut  Confirmé 
Série  COLLOQUIUMENS 
Domaines  physics 
Date  Mercredi 25 Janvier 2023 
Heure  13:30 
Institut  DPTPHYSENS 
Salle  ConfIV (E244)  24 rue Lhomond 75005 PARIS 
Nom de l'orateur  Corboz 
Prenom de l'orateur  Philippe 
Addresse email de l'orateur  
Institution de l'orateur  University of Amsterdam 
Titre  Simulating strongly correlated systems with tensor network algorithms 
Résumé  One of the biggest challenges in physics is understanding strongly correlated quantum manybody systems, which give rise to very remarkable phenomena such as hightemperature superconductivity or novel states of matter with topological order. Despite the fact that these systems can often be described by simple models on a lattice, it is very difficult to study them, because standard numerical and analytical approaches typically fail for these systems. Among the most powerful numerical tools are tensor networks, where the main idea is to approximate a quantum manybody state by a trace over a product of tensors. The bestknown example is the matrix product state, which is an efficient ansatz for states in one dimension. Progress in quantum information theory, in particular a better understanding of entanglement in manybody systems, has led to the development of tensor networks for twodimensional systems, called projected entangled pairstates (PEPS). In this colloquium I will first give an introduction to this field and then show how PEPS helped us to understand the rich and intriguing physics of the quantum material SrCu2(BO3)2 under pressure and in a magnetic field, which is effectively described by the ShastrySutherland model. 
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