Abstract
A model is given for the continual measurement of the inversion in a two-level system. The system is assumed to undergo oscillations between the two states. The effect of the measurement is determined by a Markovian master equation and one parameter Γ, which is a function of the measurement response bandwidth and the measuring device noise level. For rapid, accurate measurements, Γ is large. The two-level oscillation frequency provides a dynamical threshold. When Γ exceeds this threshold a two-level system prepared initially in the excited state remains so on a time scale of Γ. Thus, in the limit of Γ infinitely large, the dynamics is frozen. This is the Zeno effect. The relationship of this behavior to motional narrowing is discussed.
© 1988 Optical Society of America
Full Article | PDF ArticleMore Like This
A. Nourmandipour, M. K. Tavassoly, and M. A. Bolorizadeh
J. Opt. Soc. Am. B 33(8) 1723-1730 (2016)
Rongfang Liu, Hong-Mei Zou, Jianhe Yang, and Danping Lin
J. Opt. Soc. Am. B 38(3) 662-669 (2021)
Zhi-Cheng Shi, Yan Xia, Jie Song, and He-Shan Song
J. Opt. Soc. Am. B 28(12) 2909-2914 (2011)