PIRSA:25040107

Entanglement Hamiltonian and Heun operator

Bernard, P. (2025). Entanglement Hamiltonian and Heun operator. Perimeter Institute. https://pirsa.org/25040107

Bernard, Pierre-Antoine. Entanglement Hamiltonian and Heun operator. Perimeter Institute, Apr. 03, 2025, https://pirsa.org/25040107 

          @misc{ pirsa_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},
            year = {2025},
            month = {apr},
            note = {PIRSA:25040107 see, \url{https://pirsa.org}}
          }

Pierre-Antoine Bernard

Talk numberPIRSA:25040107
DOI10.48660/25040107
Collection
Talk Type Scientific Series
Subject

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.