PIRSA:22110108 Scientific Series Condensed Matter

DOI10.48660/22110108

Series: Quantum Matter

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}}
}

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

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