BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Benjamin Doyon (King's College) DTSTART:20211020T163000Z DTEND:20211020T173000Z DTSTAMP:20260423T024624Z UID:CMU-TP/36 DESCRIPTION:Title: The hydrodynamics of many-body integrable systems\nby Benjamin Doyon ( King's College) as part of Carnegie Mellon theoretical physics\n\n\nAbstra ct\nHydrodynamics is a powerful theory for the emergent behaviours at larg e scales of space-time in many-body systems. The theory says that only few degrees of freedom are sufficient in order to describe what is observed a t such scales\, and it provides equations for the dynamics of these degree s of freedom. Think of the simple water waves emerging from the motion and interaction of a myriad of water molecules. It is strongly based on the p resence of microscopic conservation laws in the many-body model\, such as conservation of energy\, momentum and mass. But the standard equations of hydrodynamics fail to describe one-dimensional integrable systems\, includ ing the ultracold atomic gases observed in experiments. Integrable systems admit an extensive number of conservation laws\, which must be taken into account in the emergent hydrodynamic theory. Recently this theory\, dubbe d ``generalised hydrodynamics”\, has been developed. In this talk\, I wi ll review fundamental aspects of hydrodynamics and the main idea and equat ions of generalised hydrodynamics. I will discuss recent cold-atom experim ents that confirm the theory\, some of the exact results that can be obtai ned with this formalism such as nonequilibrium steady states and asymptoti c of correlation functions\, and if time permit some mathematically rigoro us results in these directions.\n LOCATION:https://researchseminars.org/talk/CMU-TP/36/ END:VEVENT END:VCALENDAR