Quantum dynamics under simultaneous and continuous measurement of noncommutative observables
arXiv:2008.12908 · doi:10.1103/PhysRevA.102.062216
Abstract
We consider simultaneous and continuous measurement of two noncommutative observables of the system whose commutator is not necessarily a -number. We revisit the Arthurs-Kelly model and generalize it to describe the simultaneous measurement of two observables of the system. Using this generalized model, we continuously measure the system by following the scheme proposed by Scott and Milburn [Scott and Milburn, Phys. Rev. A 63, 042101 (2001)]. We find that the unconditioned master equation reduces to the Lindblad form in the continuous limit. In addition, we find that the master equation does not contain a cross term of these two measurements. Finally, we propose a scheme to prepare the state of a two-level system in an external field by feedback control based on the simultaneous, continuous measurement of the two observables.
arXiv comment12 pages, 4 figures
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- Correspondence between open bosonic systems and stochastic differential equations
- Application of simultaneous and continuous measurement of noncommutative observables: Preparation of the pure ideal quadrature-squeezed state by feedback control