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Kvantovaya Elektronika, 1980 Volume 7, Number 10, Pages 2124–2135 (Mi qe10508)

This article is cited in 12 papers

Quantum properties of high-$Q$ macroscopic resonators

V. V. Dodonov, V. I. Man'ko, V. N. Rudenko

P. N. Lebedev Physical Institute, the USSR Academy of Sciences, Moscow

Abstract: An analysis is made of the quantum characteristics of the behavior of an electromagnetic (acoustic) resonator over intervals shorter than the relaxation time. As a result of the high $Q$ factor, weak coupling of various modes is assumed. By considering a single mode, it can be shown that evolution of all the moments (and not only of the first) is described by classical equations for any initial states. The probabilities of transitions between groups of energy levels in the quasiclassical case $(E_{cp}\gg\triangle E\gg\hbar\omega)$ can also be calculated using classical equations. The possibility of observing experimentally the quantum nature of Brownian fluctuations of a high-$Q$ resonator is discussed.

UDC: 535.825

PACS: 42.60.Da, 43.20.+g

Received: 15.04.1980


 English version:
Soviet Journal of Quantum Electronics, 1980, 10:10, 1232–1238

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