论文标题

在同时且连续测量的非交通性观测值下进行量子动力学

Quantum dynamics under simultaneous and continuous measurement of noncommutative observables

论文作者

Jiang, Chao, Watanabe, Gentaro

论文摘要

我们考虑对系统的两个非交通性可观察到的换向器不一定是$ c $ number的系统的同时且连续的测量。我们重新访问Arthurs-Kelly模型并将其推广,以描述系统的两个观察结果的同时测量。使用这种广义模型,我们通过遵循Scott和Milburn提出的方案(Scott and Milburn,Phys,Phys)不断测量系统。 Rev. A 63,042101(2001)]。我们发现,无条件的主方程在连续极限下还原为lindblad形式。此外,我们发现主方程不包含这两个测量值的跨项。最后,我们提出了一个方案,以基于对两个可观察结果的同时连续测量的反馈控制来准备外部场中两级系统的状态。

We consider simultaneous and continuous measurement of two noncommutative observables of the system whose commutator is not necessarily a $c$-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.

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