PIRSA:22110108

Entanglement Linear Response — Extracting the Quantum Hall Conductance from a Single Bulk Wavefunction and Beyond

Fan, R. (2022). Entanglement Linear Response — Extracting the Quantum Hall Conductance from a Single Bulk Wavefunction and Beyond. Perimeter Institute. https://pirsa.org/22110108

Fan, Ruihua. Entanglement Linear Response — Extracting the Quantum Hall Conductance from a Single Bulk Wavefunction and Beyond. Perimeter Institute, Nov. 21, 2022, https://pirsa.org/22110108 

          @misc{ pirsa_PIRSA:22110108,
            doi = {10.48660/22110108},
            url = {https://pirsa.org/22110108},
            author = {Fan, Ruihua},
            keywords = {Condensed Matter},
            language = {en},
            title = {Entanglement Linear Response {\textemdash} Extracting the Quantum Hall Conductance from a Single Bulk Wavefunction and Beyond},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {nov},
            note = {PIRSA:22110108 see, \url{https://pirsa.org}}
          }

Ruihua Fan

Harvard University

Talk number
PIRSA:22110108
Collection
Talk Type
Subject
Abstract

In this talk, I will introduce the so-called entanglement linear response, i.e., response under entanglement generated unitary dynamics. As an application, I will show how it can be applied to certain anomalies in 1D CFTs. Moreover, I will apply it to extract the quantum Hall conductance from a wavefunction and how it embraces a previous work on the chiral central charge. This gives a new connection between entanglement, anomaly and topological response. If time permits, I will also talk about how it inspires some generalizations of the real-space Chern number formula in free fermion systems.

Zoom link:  https://pitp.zoom.us/j/96535214681?pwd=MldXRkRjZ1J6WS95WXQ0cG03cWdCZz09