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DTSTART;TZID=Europe/Paris:20231219T140000
DTEND;TZID=Europe/Paris:20231219T153000
DTSTAMP:20260421T175348
CREATED:20231216T044804Z
LAST-MODIFIED:20231218T094913Z
UID:9350-1702994400-1702999800@fermi.univ-tlse3.fr
SUMMARY:Simulating chiral spin liquids with tensor networks : from bosonic projected entangled pair states to fermionic projected entangled pair states. - (Sen Niu / LPT / Seminar). - 19/12/2023\, 14H
DESCRIPTION:Sen Niu (LPT) \nSeminar LPT\, 19/12/2023\, 14H\, 3R1\, seminar room\, 3rd floor \nSummary :\nChiral spin liquids (CSLs) are bosonic variant of fractional quantum Hall states realized in spin models. As a topologically ordered phase of matter\, CSLs have degenerate ground states on torus while host chiral edge modes (or entanglement spectrum) on an open disk. As numerical confirmation of CSL ground states in spin models is still a challenging problem and conventional numerical methods have various limitations\, we consider the entanglement based projected entangled pair states (PEPS) method for simulation of CSLs. Nevertheless\, the application of tensor network method to CSLs is not so straightforward due to the existence of a no-go theorem. \nIn this talk\, I will firstly introduce the background of the topological obstruction in CSLs\, and then report our recent progress. (i) We extend the original bosonic PEPS framework to describe CSLs on non-bipartite lattices. (ii) We propose the fermionic PEPS ansatz based on the parton construction. The fermionic PEPS representation for CSLs provides a faithful description of chiral edge spectrum\, which cures a long-standing issue in bosonic PEPS.
URL:https://fermi.univ-tlse3.fr/event/simulating-chiral-spin-liquids-with-tensor-networks-from-bosonic-projected-entangled-pair-states-to-fermionic-projected-entangled-pair-states-sen-niu-lpt-seminar-5-12-2023-14h/
LOCATION:salle de séminaire 3ème étage\, Bâtiment 3r1 Université Toulouse III\, Toulouse\, 31400\, France
CATEGORIES:Events,LPT,Seminars
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