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.
https://hal-cea.archives-ouvertes.fr/cea-01930252
Contributor : Emmanuelle de Laborderie <>
Submitted on : Wednesday, November 21, 2018 - 5:04:26 PM Last modification on : Friday, December 18, 2020 - 8:52:37 AM Long-term archiving on: : Friday, February 22, 2019 - 4:01:48 PM