Monitoring continuous spectrum observables: the strong measurement limit

M. Bauer (1, 2) , Denis Bernard (3) , T. Jin (3)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 PSL - Université Paris sciences et lettres
3 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

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.

Domains: Physics [physics]

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