PIRSA:22120054

Average Symmetry-Protected Topological Phases: Construction and Detection

Zhang, J. (2022). Average Symmetry-Protected Topological Phases: Construction and Detection. Perimeter Institute. https://pirsa.org/22120054

Zhang, Jianhao. Average Symmetry-Protected Topological Phases: Construction and Detection. Perimeter Institute, Dec. 07, 2022, https://pirsa.org/22120054 

          @misc{ pirsa_PIRSA:22120054,
            doi = {10.48660/22120054},
            url = {https://pirsa.org/22120054},
            author = {Zhang, Jianhao},
            keywords = {Condensed Matter},
            language = {en},
            title = {Average Symmetry-Protected Topological Phases: Construction and Detection},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {dec},
            note = {PIRSA:22120054 see, \url{https://pirsa.org}}
          }

Jianhao Zhang

Pennsylvania State University

Talk number
PIRSA:22120054
Collection
Talk Type
Subject
Abstract

Symmetry-protected topological (SPT) phases are short-range entanglement (SRE) quantum states which cannot be adiabatically connected to trivial product states in the presence of symmetries. Recently, it is shown that symmetry-protected short-range entanglement can still prevail even if part of the protecting symmetry is broken by quenched disorder locally but restored upon disorder averaging, dubbed as the average symmetry-protected topological (ASPT) phases. In this talk, I will systematically construct the ASPT phases as a mixed ensemble or density matrix, which may not be realized in a clean system without any disorder. I will also design the strange correlator of the ASPT phases via a strange density matrix to detect the nontrivial ASPT state. Moreover, it is amazing that the strange correlator of ASPT can be precisely mapped to the loop correlation functions of some proper statistical loop models, with power-law behaviors.

Zoom link:  https://pitp.zoom.us/j/91672345456?pwd=N0dNQXNmVVoybnNxYXJuWnVRME8rUT09