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Condensed Matter Seminar: Average Symmetry-Protected Topological Phases: Construction and Detection [Updated]
Speaker Jian-Hao Zhang, The Pennsylvania State University
Date 8 November 2022 (Tuesday)
Time 13:30 - 15:00
Venue Mixed-Mode
• To join the talk in person: Room 4472, Academic Building, HKUST (Lifts 25-26)
• To join the talk online: Zoom Link: https://hkust.zoom.us/j/95069439482?pwd=OFJ4MmJCTFRVTHpTTlQwYjlMVVJjUT09
Meeting ID: 950 6943 9482, Passcode: 624438

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 behavior.