(2024-05-16) Seminar: Bowen Shi (时博文) -- Entanglement Bootstrap: a route to emergence in quantum many-body systems


时博文  博士学术报告

Title: Entanglement Bootstrap: a route to emergence in quantum many-body systems

Speaker: Bowen Shi (时博文)

Affiliation: University of California, San Diego, USA (美国加州大学圣迭戈分校

Time: 14:00-15:00, Thursday, 16th May, 2024 (UTC+8, Beijing Time)

Venue: Room 1502, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing


Inviter: Qiang Wen(文强)


Quantum matter can have intricate many-body entanglement in its ground state wave function and rich emergent phenomena. Can we detect the emergent phenomena that completely characterize a quantum phase from such a wave function? More deeply, can we understand why a certain effective theory emerges, not others? We describe a recent theoretical framework to answer such questions: entanglement bootstrap. It is an ongoing program to develop a self-contained theory about the emergence in quantum many-body systems from conditions on the entanglement in a physical wave function. One application is on 2-dimensional gapped phases, where anyons and quantized (thermal) Hall response may emerge. For instance, we derive the fusion and braiding properties of anyons from axioms on the entanglement. We also mention generalization to higher dimensions and gapless setups. The axioms are humble but powerful, so we may think of entanglement bootstrap as a middle school geometry in the era of quantum information science.