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SUMMARY:Onkar Parrikar (TIFR Mumbai)
DTSTART:20250429T070000Z
DTEND:20250429T080000Z
DTSTAMP:20260423T041750Z
UID:HETnyuad/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HETnyuad/4/"
 >Wigner negativity\, random matrices and gravity</a>\nby Onkar Parrikar (T
 IFR Mumbai) as part of High Energy Theory NYU Abu Dhabi\n\nLecture held in
  C1-120 NYU Abu Dhabi Experimental Research Building.\n\nAbstract\nGiven a
  choice of an ordered\, orthonormal basis for a finite D-dimensional Hilbe
 rt space\, one can define a discrete version of the Wigner function — a 
 quasi-probability distribution which represents any state in the Hilbert s
 pace on a discrete phase space. The Wigner function can\, in general\, tak
 e on negative values\, and the amount of negativity in the Wigner function
  gives a measure of the complexity of simulating the quantum state on a cl
 assical computer. In this talk\, we study the growth of Wigner negativity 
 for a generic initial state under time evolution with chaotic Hamiltonians
 . We first give a perturbative argument to show that the Krylov basis mini
 mizes the early time growth of Wigner negativity in the large D limit. Usi
 ng tools from random matrix theory\, we then show that for a generic choic
 e of basis\, the Wigner negativity becomes exponentially large in an O(1) 
 amount of time evolution. On the other hand\, in the Krylov basis\, the ne
 gativity grows gradually (i.e.\, as a power law) for an exponential amount
  of time\, before saturating close to its maximum value. We take this as e
 vidence that the Krylov basis is ideally suited for a dual\, semi-classica
 l description of chaotic quantum dynamics at large D. We discuss connectio
 ns with the emergence of the dual gravitational description in AdS/CFT.\n
LOCATION:https://researchseminars.org/talk/HETnyuad/4/
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