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Monitoring continuous spectrum observables: the strong measurement limit

Abstract : We revisit aspects of monitoring observables with continuous spectrum in a quantum system subject to dissipative (Lindbladian) or conservative (Hamiltonian) evolutions. After recalling some of the salient features of the case of pure monitoring , we deal with the case when monitoring is in competition with a Lindbladian evolution. We show that the strong measurement limit leads to a diffusion on the spectrum of the observable. For the case with competition between observation and Hamiltonian dynamics, we exhibit a scaling limit in which the crossover between the classical regime and a diffusive regime can be analyzed in details.
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Submitted on : Wednesday, November 21, 2018 - 5:04:26 PM
Last modification on : Friday, October 15, 2021 - 1:41:15 PM
Long-term archiving on: : Friday, February 22, 2019 - 4:01:48 PM

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M. Bauer, Denis Bernard, T. Jin. Monitoring continuous spectrum observables: the strong measurement limit. SciPost Physics, SciPost Foundation, 2018, 5, pp.037. ⟨10.21468/SciPostPhys.5.4.037⟩. ⟨cea-01930252⟩

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