BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Clement Delcamp (Max-Planck-Institute of Quantum Optics) DTSTART:20210614T160000Z DTEND:20210614T170000Z DTSTAMP:20260423T021243Z UID:QM3/49 DESCRIPTION:Title: On tensor network representations of the (3+1)d toric code\nby Clement De lcamp (Max-Planck-Institute of Quantum Optics) as part of Quantum Matter m eets Maths (IST\, Lisbon)\n\n\nAbstract\nTensor network states provide a c omprehensive framework for the analytic and numerical study of strongly co rrelated many-body systems. In recent years\, this framework has been succ essfully applied to topological phases of matter. In this talk\, I will pr esent two dual tensor network representations of the (3+1)d toric code gro und state subspace\, which are obtained by initially imposing either famil y of stabilizer constraints. I will discuss topological properties of the model from the point of view of these virtual symmetries\, demonstrate tha t one of these representations is stable to all local tensor perturbations ---including those that do not map to local operators on the physical Hilb ert space---and explain\, both from a physical and category theoretical vi ewpoint\, how the distinguishing properties of these representations are r elated to the phenomenon of bulk-boundary correspondence.\n LOCATION:https://researchseminars.org/talk/QM3/49/ END:VEVENT END:VCALENDAR