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SUMMARY:Topological defects and entanglement - Lecture 1 - Laurens Lootens
  (University of Cambridge)
DTSTART:20250908T083000Z
DTEND:20250908T100000Z
UID:TALK234055@talks.cam.ac.uk
DESCRIPTION:In these lectures\, we will provide an introduction to a tenso
 r network approach to topological defects and its applications. We will st
 art by considering the ground states of topological fixed point models in 
 (2+1)d\,&nbsp\;and show that their entanglement properties can be characte
 rized by topological defects described by fusion categories. By studying t
 he different tensor network representations of these ground states\, we wi
 ll obtain the lattice representation theory of these topological defects. 
 Through a holographic reduction\, we will map these (2+1)d topological mod
 els to 2d classical statistical mechanics models or 1d quantum Hamiltonian
 s\, where the lattice topological defects become symmetries of the theory.
  Finally\, we will see how gauging these topological defect symmetries all
 ows a precise characterization of the entanglement properties of a state i
 n a given phase\, which reduces the computational complexity of finding gr
 ound states using tensor network based methods\n&nbsp\;\nReferences:&nbsp\
 ;\nhttps://arxiv.org/abs/1104.5047&nbsp\;https://arxiv.org/abs/2008.11187&
 nbsp\;https://arxiv.org/abs/2408.06334
LOCATION:Seminar Room 1\, Newton Institute
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