Majeed Mehwish, Chaudhry Adam Zaman
School of Science and Engineering, Lahore University of Management Sciences (LUMS), Opposite Sector U, D.H.A, Lahore, 54792, Pakistan.
Sci Rep. 2021 Jan 19;11(1):1836. doi: 10.1038/s41598-021-81424-z.
Repeated measurements in quantum mechanics can freeze (the quantum Zeno effect) or enhance (the quantum anti-Zeno effect) the time-evolution of a quantum system. In this paper, we present a general treatment of the quantum Zeno and anti-Zeno effects for arbitrary driven open quantum systems, assuming only that the system-environment coupling is weak. In particular, we obtain a general expression for the effective decay rate of a two-level system subjected to arbitrary driving fields as well as periodic measurements. We demonstrate that the driving fields change the decay rate, and hence the quantum Zeno and anti-Zeno behavior, both qualitatively and quantitatively. We also extend our results to systems consisting of more than one two-level system, as well as a two-level system strongly coupled to an environment of harmonic oscillators, to further illustrate the non-trivial effect of the driving fields on the quantum Zeno and anti-Zeno effects.
量子力学中的重复测量可以冻结（量子芝诺效应）或增强（量子反芝诺效应）量子系统的时间演化。在本文中，我们给出了任意驱动开放量子系统的量子芝诺和反芝诺效应的一般处理方法，仅假设系统与环境的耦合较弱。特别地，我们得到了一个两能级系统在任意驱动场以及周期性测量下有效衰变率的一般表达式。我们证明，驱动场在定性和定量上都改变了衰变率，从而改变了量子芝诺和反芝诺行为。我们还将结果扩展到由多个两能级系统组成的系统，以及与简谐振子环境强耦合的两能级系统，以进一步说明驱动场对量子芝诺和反芝诺效应的重要影响。
