Entanglement Bootstrap and Remote Detectability


McGreevy, J. (2022). Entanglement Bootstrap and Remote Detectability. Perimeter Institute. https://pirsa.org/22100103


McGreevy, John. Entanglement Bootstrap and Remote Detectability. Perimeter Institute, Oct. 12, 2022, https://pirsa.org/22100103


          @misc{ pirsa_22100103,
            doi = {10.48660/22100103},
            url = {https://pirsa.org/22100103},
            author = {McGreevy, John},
            keywords = {Condensed Matter},
            language = {en},
            title = {Entanglement Bootstrap and Remote Detectability},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {oct},
            note = {PIRSA:22100103 see, \url{https://pirsa.org}}

John McGreevy University of California System

Talk Type Scientific Series


The Entanglement Bootstrap is a program to derive the universal properties of a phase of matter from a single representative wavefunction on a topologically-trivial region.  Much (perhaps all) of the structure of topological quantum field theory can be extracted starting from a state satisfying two axioms that implement the area law for entanglement.  This talk will focus on recent progress (with Bowen Shi and Jin-Long Huang) using this approach to prove remote detectability of topological excitations in various dimensions.  This is an axiom of topological field theory.  Two key ideas are a quantum avatar of Kirby's torus trick to construct states on closed manifolds, and the new concept of pairing manifold, which is a closed manifold associated with a pair of conjugate excitation types that encodes their braiding matrix.  The pairing manifold also produces Verlinde formulae relating the S-matrix to the structure constants of a generalized symmetry algebra of flexible operators.  

Zoom link:  https://pitp.zoom.us/j/92633473610?pwd=eEhqR3BaQXljQm5ScHZvZm81N2FyZz09