BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Enej Ilievski (University of Ljubljana) DTSTART:20201102T170000Z DTEND:20201102T180000Z DTSTAMP:20260423T024723Z UID:QM3/24 DESCRIPTION:Title: Sup eruniversality of superdiffusion\nby Enej Ilievski (University of Ljub ljana) as part of Quantum Matter meets Maths (IST\, Lisbon)\n\n\nAbstract\ nEmergence of anomalous transport laws in deterministic interacting many-b ody systems has become a subject of intense study in the past few years. O ne of the most prominent examples is the unexpected discovery of superdiff usive spin dynamics in the isotropic Heisenberg quantum spin chain with at half filling\, which falls into the universality class of the celebrated Kardar-Parisi-Zhang equation. In this talk\, we will theoretically justify why the observed superdiffusion of the Noether charges with anomalous dyn amical exponent $z=3/2$ is indeed superuniversal\, namely it is a feature of all integrable interacting lattice models or quantum field theories whi ch exhibit globally symmetry of simple Lie group $G$\, in thermal ensemble s that do not break $G$-invariance. The phenomenon can be attributed to th ermally dressed giant quasiparticles\, whose properties can be traced back to fusion relations amongst characters of quantum groups called Yangians. Giant quasiparticles can be identified with classical solitons\, i.e. sta ble nonlinear solutions to certain integrable PDE representing classical f erromagnet field theories on certain types of coset manifolds. We shall ex plain why these inherently semi-classical objects are in one-to-one corres pondence with the spectrum of Goldstone modes. If time permits\, we shall introduce another type of anomalous transport law called undular diffusion that generally occurs amongst the symmetry-broken Noether fields in $G$-i nvariant dynamical systems at finite charge densities.\n LOCATION:https://researchseminars.org/talk/QM3/24/ END:VEVENT END:VCALENDAR