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SUMMARY:Chaotic many-body quantum dynamics\, spectral correlations\, and e
 nergy diffusion
DTSTART:20260611T141500Z
DTEND:20260611T161500Z
DTSTAMP:20260613T003800Z
UID:indico-event-1343@indico.hiskp.uni-bonn.de
DESCRIPTION:Speakers: John Chalker (Oxford)\n\nFor almost a century\, much
  of the effort studying many-body quantum systems has focussed on behaviou
 r at low temperature\, or in solvable models with many conserved quantitie
 s. Recently\, minimal models have been developed which give a window onto 
 dynamics in generic systems\, unrestricted by temperature or conservation 
 laws. These models make it possible to explore the main features expected 
 in chaotic many-body dynamics using quite simple analytical calculations. 
 This is progress that I think goes far beyond what could reasonably have b
 een dreamed of ten years ago\, but it is built on foundations laid in the 
 1950s.\nAfter giving a short introduction to these general developments\, 
 I will describe a study of chaotic many-body quantum dynamics in a minimal
  model with spatial structure and local interactions\, which is analytical
 ly tractable in a suitable limit. In this limit we show that energy dynami
 cs is described by a classical master equation and is diffusive. We also s
 how that the spectral form factor\, which characterises correlations betwe
 en energy eigenvalues\, can be expressed exactly in terms of the solution 
 to this master equation.  [Joint work with Dominik Hahn\, arXiv2510.02198
 ]\n\nhttps://indico.hiskp.uni-bonn.de/event/1343/
URL:https://indico.hiskp.uni-bonn.de/event/1343/
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