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SUMMARY:Splitting Probability for Monitored Quantum Systems
DTSTART:20260507T060000Z
DTEND:20260507T070000Z
DTSTAMP:20260618T153800Z
UID:indico-event-9340@scitalks.tifr.res.in
DESCRIPTION:Speakers: Prashant Singh (Bar Ilan University)\n\nThe splittin
 g probability is a fundamental concept in the theory of stochastic process
 es and first-passage phenomena. It measures the probability that a stochas
 tic trajectory reaches one designated target before any of the other avail
 able targets\, thus providing a natural way to characterize competition be
 tween multiple possible outcomes. In this talk\, I will discuss splitting 
 probability in the context of monitored quantum systems. I will show that\
 , in stark contrast to a classical random walk\, the quantum splitting pro
 bability exhibits a nonanalytic\, phase-transition-like behavior controlle
 d by the sampling time at the targets. We also find the loss of the classi
 cal proximity effect and emergence of dark states which give rise to point
 -wise discontinuous transitions in the splitting probability. These result
 s follow from a nontrivial mapping of the splitting problem onto a pair of
  single-target detection problems enabled by the superposition principle.\
 n\nhttps://scitalks.tifr.res.in/event/9340/
LOCATION:A304 and on zoom
URL:https://scitalks.tifr.res.in/event/9340/
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