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CATEGORIES:Lennard-Jones Centre
SUMMARY:Information scrambling: a path-integral perspectiv
 e - Vijay Ganesh Sadhasivam\, Department of Chemis
 try\, University of Cambridge
DTSTART;TZID=Europe/London:20230220T140000
DTEND;TZID=Europe/London:20230220T143000
UID:TALK196957AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/196957
DESCRIPTION:The process by which initially localized quantum i
 nformation in a system is rendered irretrievable d
 ue to quantum dynamics\, referred to as ‘scramblin
 g’\, has been a subject of intense interest in the
  last decade. The out-of-time-ordered correlators 
 (OTOCs) form an important class of quantitative to
 ols that yield Lyapunov exponents which quantify t
 he rate of scrambling in quantum systems. The rate
  of scrambling of quantum information in thermal q
 uantum systems\, as quantified using these Lyapuno
 v exponents\, is conjectured to obey a temperature
 -dependent universal quantum bound. Our numerical 
 investigation on a model chaotic system strongly s
 uggests that\, at least in quantum-Boltzmann ensem
 bles\, the bound on the Lyapunov exponent is purel
 y a quantum-statistical effect\, which can be expl
 ained using imaginary-time Feynman path-integrals.
  Specifically\, we find that delocalized structure
 s in a fictitious extended phase space that repres
 ent bounce instantons are responsible for this bou
 nd.
LOCATION:Pfizer  Lecture Theatre\,  Department of Chemistry
CONTACT:Dr Venkat Kapil
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