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SUMMARY:Information scrambling: a path-integral perspective - Vijay Ganesh
  Sadhasivam\, Department of Chemistry\, University of Cambridge
DTSTART:20230220T140000Z
DTEND:20230220T143000Z
UID:TALK196957@talks.cam.ac.uk
CONTACT:Dr Venkat Kapil
DESCRIPTION:The process by which initially localized quantum information i
 n a system is rendered irretrievable due to quantum dynamics\, referred to
  as ‘scrambling’\, has been a subject of intense interest in the last 
 decade. The out-of-time-ordered correlators (OTOCs) form an important clas
 s of quantitative tools that yield Lyapunov exponents which quantify the r
 ate of scrambling in quantum systems. The rate of scrambling of quantum in
 formation in thermal quantum systems\, as quantified using these Lyapunov 
 exponents\, is conjectured to obey a temperature-dependent universal quant
 um bound. Our numerical investigation on a model chaotic system strongly s
 uggests that\, at least in quantum-Boltzmann ensembles\, the bound on the 
 Lyapunov exponent is purely a quantum-statistical effect\, which can be ex
 plained using imaginary-time Feynman path-integrals. Specifically\, we fin
 d that delocalized structures in a fictitious extended phase space that re
 present bounce instantons are responsible for this bound.
LOCATION:Pfizer  Lecture Theatre\,  Department of Chemistry
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