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SUMMARY:Nat Tantivasadakarn (Caltech)
DTSTART:20240116T150000Z
DTEND:20240116T160000Z
DTSTAMP:20260423T021121Z
UID:SymSem/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SymSem/51/">
 Non-invertible SPT order in a group-based cluster state</a>\nby Nat Tantiv
 asadakarn (Caltech) as part of Symmetry Seminar\n\n\nAbstract\nThe one-dim
 ensional cluster state is a paradigmatic example of a symmetry-protected t
 opological (SPT) state protected by Z2xZ2 symmetry in 1+1D. I will show th
 at a generalization of the cluster state to finite groups is an example of
  an SPT state protected by a non-invertible GxRep(G) symmetry\, belonging 
 to a distinct phase from the symmetric product state. In this example\, th
 e signatures of SPT phases: protected edge modes\, string order parameters
 \, and topological response can be naturally generalized. Along the way\, 
 I will highlight the deep relation between the cluster state and gauging (
 the Kramers-Wannier transformation)\, the generalization of the Pauli matr
 ices from the group Z2 to finite groups\, and the power of tensor networks
  to express microscopic realizations of non-invertible symmetries. This ta
 lk is based on arXiv:2312.09272\n
LOCATION:https://researchseminars.org/talk/SymSem/51/
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