First detection probability in quantum resetting via random projective measurements
نویسندگان
چکیده
Abstract We provide a general framework to compute the probability distribution F r ( t stretchy="false">) of first detection time ‘state interest’ in closed quantum system subjected random projective measurements. In our ‘quantum resetting’ protocol, resetting state is not implemented by an additional classical stochastic move, but rather measurement. then apply this Poissonian measurement protocol with constant rate r and demonstrate that exact results for $F_r(t)$?> can be obtained generic two level system. Interestingly, result depends crucially on schemes involved we have studied complementary schemes, where interest either coincides or differs from initial state. show at short times vanishes universally as $F_r(t)\sim t^2$?> ∼ 2 t → 0 scheme, while it approaches second scheme. The mean time, function , also shows different behaviors schemes. former, non-monotonic single minimum optimal value $r^*$?> ∗ later, monotonically decreasing signaling absence finite value. These predictions arbitrary systems are verified via explicit computation Jaynes–Cummings model light–matter interaction. generalize non-Poissonian protocols renewal structure intervals between successive independent measurements distributed $p(\tau)$?> p τ behavior p(0)\, 0 universal long $p(0)\ne 0$?> ≠ . This 2 law emerges purely dynamics dominates early times.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2023
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/acf103