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SUMMARY:Meng Cheng (Yale University)
DTSTART:20251118T150000Z
DTEND:20251118T160000Z
DTSTAMP:20260423T022622Z
UID:QTFMS/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QTFMS/21/">M
 ixed-state Topological Order in (2+1)d</a>\nby Meng Cheng (Yale University
 ) as part of Quantum Theories of Fields\, Matter\, and Strings\n\n\nAbstra
 ct\nGround states of gapped local Hamiltonians can be classified\, up to q
 uasi-local unitary equivalence\, by their underlying topological order. In
  2+1 dimensions\, it is widely believed—and in some cases rigorously est
 ablished—that topological orders are fully characterized by their topolo
 gical line operators that generate 1-form symmetries\, up to stacking with
  invertible states. Mathematically\, the topological line operators form a
  modular tensor category.\n\nIn this talk\, I will discuss recent progress
  on extending this framework to many-body mixed states. I will begin by re
 viewing the ground-state classification\, the role of 1-form symmetries\, 
 and the physics of decohered topological states. I will then argue that\, 
 under an appropriate notion of equivalence for mixed states\, (2+1)d mixed
 -state topological order is (partially) classified by premodular categori
 es.\n
LOCATION:https://researchseminars.org/talk/QTFMS/21/
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