Khan Ghazi, Soomro Hudaiba, Baig Muhammad Usman, Javed Irfan, Chaudhry Adam Zaman
Department of Physics, Lahore University of Management Sciences (LUMS), Lahore, Pakistan.
Department of Mathematics and Statistics, University of New Brunswick (UNB), Frederiction, Canada.
Sci Rep. 2022 Nov 4;12(1):18652. doi: 10.1038/s41598-022-23421-4.
It is well known that repeated projective measurements can either slow down (the Zeno effect) or speed up (the anti-Zeno effect) quantum evolution. Until now, studies of these effects for a two-level system interacting with its environment have focused on repeatedly preparing the excited state via projective measurements. In this paper, we consider the repeated preparation of an arbitrary state of a two-level system that is interacting strongly with an environment of harmonic oscillators. To handle the strong interaction, we perform a polaron transformation and then use a perturbative approach to calculate the decay rates for the system. Upon calculating the decay rates, we discover that there is a transition in their qualitative behaviors as the state being repeatedly prepared continuously moves away from the excited state and toward a uniform superposition of the ground and excited states. Our results should be useful for the quantum control of a two-level system interacting with its environment.
众所周知，重复的投影测量可以减慢（芝诺效应）或加速（反芝诺效应）量子演化。到目前为止，对于与环境相互作用的二能级系统的这些效应的研究主要集中在通过投影测量反复制备激发态上。在本文中，我们考虑了与谐振子环境强烈相互作用的二能级系统任意态的重复制备。为了处理强相互作用，我们进行了极化子变换，然后使用微扰方法来计算系统的衰变率。在计算衰变率时，我们发现随着反复制备的态不断远离激发态并趋向于基态和激发态的均匀叠加，它们的定性行为会发生转变。我们的结果对于与环境相互作用的二能级系统的量子控制应该是有用的。
