2020
DOI: 10.48550/arxiv.2005.00464
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Non-Hermitian and Zeno limit of quantum systems under rapid measurements

Felix Thiel,
David A. Kessler

Abstract: We investigate in depth the relation between the first detection time of an isolated quantum system that is repeatedly perturbed by strong local measurements with a large fixed frequency 1/τ , determining whether it is in some given state |ψ d , and the time of absorption to the same state of the same system with the added imaginary potential 2i |ψ d ψ d | /τ . As opposed to previous works, we compare directly the solutions of both problems in the small τ , i.e., Zeno, limit. We find a scaling collapse in F (t… Show more

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Cited by 1 publication
(2 citation statements)
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“…Similar expressions have recently been discussed in Ref. [16] who also point the analogy with the renewal approach for the repeated measurement problem. In the next section we will make use of the analogous formula as Eq.…”
Section: The Lattice λ Nsupporting
confidence: 64%
See 1 more Smart Citation
“…Similar expressions have recently been discussed in Ref. [16] who also point the analogy with the renewal approach for the repeated measurement problem. In the next section we will make use of the analogous formula as Eq.…”
Section: The Lattice λ Nsupporting
confidence: 64%
“…Different aspects of the equivalence to the non-Hermitian Hamiltonian have been explored in Refs. [8,16,17]. Other interesting results include discussions of the non-Hermitian description in many-body systems [18,19] and in the context of experiments [20,21].…”
Section: Introductionmentioning
confidence: 99%