BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Arkya Chatterjee (MIT) DTSTART:20240514T140000Z DTEND:20240514T150000Z DTSTAMP:20260423T035536Z UID:SymSem/64 DESCRIPTION:Title: Phases and Phase Transitions of Spin Chains with Non-invertible Symmetries \nby Arkya Chatterjee (MIT) as part of Symmetry Seminar\n\n\nAbstract\ nNon-invertible symmetries are often emergent at low-energies\nin gapless states of quantum matter. It is useful to construct lattice\nmodels that h ave these as exact symmetries in order to provide a\nUV-complete setting i n which they are well-controlled. To that end\, we\npropose to study one-d imensional Hamiltonians defined on tensor\nproduct Hilbert spaces with fin ite on-site dimension -- referred to as\n"spin chains" in short -- with ex act non-invertible symmetries. We\nfocus on two concrete examples: a spin chain with (invertible) S_3\nsymmetry and one with (non-invertible) Rep(S_ 3) symmetry. These models\nare largely analytically tractable and demonstr ate all spontaneous\nsymmetry breaking (SSB) phases of these symmetries. W ith the aid of\ntensor network algorithms\, we systematically study the ph ase\ntransitions between these SSB phases. Both models possess\n(intrinsic ally) non-invertible self-duality symmetries\, for which we\nprovide seque ntial circuit implementations. On the self-dual manifold\nin parameter spa ce\, we discover an incommensurate gapless phase with\nan anomalous U(1) s ymmetry which emanates from lattice translation.\n LOCATION:https://researchseminars.org/talk/SymSem/64/ END:VEVENT END:VCALENDAR