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SUMMARY:Brian Swingle (University of Maryland)
DTSTART:20201130T193000Z
DTEND:20201130T203000Z
DTSTAMP:20260423T005715Z
UID:Kadanoff/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Kadanoff/21/
 ">Hydrodynamics and the Spectral Form Factor</a>\nby Brian Swingle (Univer
 sity of Maryland) as part of Kadanoff seminars\n\n\nAbstract\nHydrodynamic
 s and the Spectral Form Factor\, Brian Swingle\, University of Maryland\nE
 nsembles of quantum chaotic systems are expected to exhibit random matrix 
 universality in their energy spectrum. The presence of this universality c
 an be diagnosed by looking for a linear in time 'ramp' in the spectral for
 m factor\, but for realistic systems this feature is typically only visibl
 e after a sufficiently long time. I will discuss several developments in o
 ur understanding of this intermediate time regime in the spectral form fac
 tor. First\, I will describe a hybrid system in which the single particle 
 levels are chaotic while the many-body levels are those of non-interacting
  particles. In this case\, the linear ramp is replaced by an exponential r
 amp. Interacting deformations of the system can then lead to full many-bod
 y quantum chaos\, but the approach to a linear ramp can be slow due to the
  presence of nearly conserved modes. Motivated by this problem\, I will pr
 esent a theory of the spectral form factor in systems with slow modes and 
 will apply the results to a variety of hydrodynamic systems. Joint work wi
 th Mike Winer and Shaokai Jian.\n
LOCATION:https://researchseminars.org/talk/Kadanoff/21/
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