PIRSA:25120057

Entanglement bootstrap for quantum phases of matter

(2025). Entanglement bootstrap for quantum phases of matter. Perimeter Institute. https://pirsa.org/25120057

Entanglement bootstrap for quantum phases of matter. Perimeter Institute, Dec. 08, 2025, https://pirsa.org/25120057 

          @misc{ pirsa_PIRSA:25120057,
            doi = {},
            url = {https://pirsa.org/25120057},
            author = {},
            keywords = {Condensed Matter},
            language = {en},
            title = {Entanglement bootstrap for quantum phases of matter},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {dec},
            note = {PIRSA:25120057 see, \url{https://pirsa.org}}
          }
Xiang Li
Talk numberPIRSA:25120057
Collection
Talk Type Other
Subject

Abstract

Entanglement bootstrap (EB) is a framework that aims to explain all the universal properties of quantum phases of matter from entanglement conditions. In this seminar, I will talk about our efforts in building such an EB framework for 2+1D chiral gapped phases. Many interesting properties that do not exist in non-chiral gapped states, such as robust gapless boundary and sharp corner contributions in entanglement entropies, can be derived in this framework. To capture the algebraic relations among local entanglement Hamiltonians, we defined a quantum-information-theoretic primitive called instantaneous modular flow. We then derived several instantaneous modular-flow equations that generalize the well-known formulas of topological entanglement entropy and chiral central charge. If time permits, I will also discuss a few applications of EB in conformal field theories in both 1+1D and 2+1D with fuzzy sphere.