Entanglement Hamiltonian and Heun operator

          @misc{ scivideos_PIRSA:25040107,
            doi = {10.48660/25040107},
            url = {https://pirsa.org/25040107},
            author = {Bernard, Pierre-Antoine},
            keywords = {Mathematical physics},
            language = {en},
            title = {Entanglement Hamiltonian and Heun operator},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {apr},
            note = {PIRSA:25040107 see, \url{https://scivideos.org/pirsa/25040107}}
          }
          

Abstract

The ground state of a bipartite quantum system resembles a thermal state from the perspective of an observer with access to only one of the two regions. This observation has led to the introduction of the entanglement Hamiltonian, which has numerous applications in quantum information and the study of quantum many-body systems.   This talk will explore two approaches to computing the entanglement Hamiltonian: one in the context of quantum field theories (QFTs), focusing on the Bisognano-Wichmann Hamiltonian, and the other for free fermion models on a lattice, where connections with algebraic Heun operators will be highlighted. Additionally, the relationship between the discrete and continuum cases will be examined.