## Quantum Zeno effect and motional narrowing in a two-level system

JOSA B, Vol. 5, Issue 6, pp. 1317-1322 (1988)

http://dx.doi.org/10.1364/JOSAB.5.001317

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### 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

**Citation**

G. J. Milburn, "Quantum Zeno effect and motional narrowing in a two-level system," J. Opt. Soc. Am. B **5**, 1317-1322 (1988)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-5-6-1317

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