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SUMMARY:Introduction to the quantum first detection problem
DTSTART;VALUE=DATE-TIME:20190918T150000Z
DTEND;VALUE=DATE-TIME:20190918T153000Z
DTSTAMP;VALUE=DATE-TIME:20230207T203500Z
UID:indico-contribution-317@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Eli Barkai (Bar-Ilan University)\n\nWe consider quan
tum dynamics on a graph\, with repeated strong measurements performed loca
lly at a fixed time interval $\\tau$. For example a particle starting on
node $x$ and measurements performed on another node $x'$. From the basic p
ostulates of quantum mechanics the string of measurements yields a sequenc
e no\,no\,no\, $\\cdots$ and finally in the $n$-th attempt a yes\, i.e. t
he particle is detected. Statistics of the first detection time $n \\tau$
are investigated\, and compared with the corresponding classical first pas
sage problem. Dark states\, Zeno physics\, a quantum renewal equation\, wi
nding number for the first return problem (work of A. Grunbaum et al.)\,
total detection probability\, detection time operators and time wave funct
ions are discussed.\n\nhttps://zakopane.if.uj.edu.pl/event/9/contributions
/317/
LOCATION:Kraków
RELATED-TO:indico-event-9@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/9/contributions/317/
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