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SUMMARY:Vivek Singh (TIFR\, Mumbai)\, Emergent semiclassicality in the Kry
 lov basis
DTSTART:20260915T091500Z
DTEND:20260915T103000Z
DTSTAMP:20260918T164000Z
UID:indico-event-9844@indico.fysik.su.se
DESCRIPTION:Title: Emergent semiclassicality in the Krylov basis\nAbstract
 : What does it mean for quantum dynamics to be classical or semi-classica
 l? In this talk\, I will start with the observation that Wigner negativity
  measures the complexity of classically simulating the preparation of a st
 ate\, and its time growth is minimized in the Krylov basis. Thus\, one can
  identify dynamics as being classical if its negativity saturates in the K
 rylov basis as time increases\, and semiclassical if the negativity growth
  does not scale with system size. I will demonstrate these ideas in 2d CFT
 s\, Random Matrix theories and the double-scaled SYK model. In all these e
 xamples\, at large but O(1) times\, Wigner negativity remains constant or 
 grows slowly\, demonstrating an emergent semi-classicality of dynamics in 
 the Krylov basis even if the wavefunction spreads rapidly across the Krylo
 v basis. Along the way\, I will also discuss the implications of these res
 ults in holography.\n \n\nhttps://indico.fysik.su.se/event/9844/
LOCATION:Albano 3: 6228 - Mega (22 seats) (Albano Building 3)
URL:https://indico.fysik.su.se/event/9844/
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