Quantum Zeno and anti-Zeno effects in classical noise

Most of the existing studies are devoted to the quantum Zeno and anti-Zeno effects in open quantum systems under quantization environment; little attention has been paid to the quantum zeno dynamics behavior under classical noise. In this paper, we analyze the quantum Zeno and anti-Zeno dynamics under the random telegraph noise and the family of low-frequency noise with 1 f ⁄ spectrum. Based on qualitative analysis of effective decay rate, we find that the two kinds of classical noise under different conditions have significant influence on the Zeno and anti-Zeno dynamics. For random telegraph noise, the switching rate γ > 2 can influence the coupling strength between the system and the environment so that it can make the effective decay rate present different properties. In the case of colored noise, different coefficient and number of fluctuators Nf will make the effective decay rate change. Moreover, we also give physical explanations for these phenomena. AMS subject classifications: 81P15, 81P20, 81S22, 81V45