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Journal of the Optical Society of America B

Squeezing of spontaneous emission in the k-photon (k > 2) Jaynes–Cummings model

Yun‐Jie Xia, Guang‐Can Guo

Published Oct 1, 1990• 2 citations
Publisher

Abstract

The exact solution for the wave function in the k-photon Jaynes–Cummings model with detuning is obtained. In particular, the higher-order squeezing and amplitude-squared squeezing of spontaneous emission in this model are studied. The results show clearly that the higher-order squeezing and amplitude-squared squeezing are independent of second-order squeezing and antibunching.

DOI
10.1364/josab.7.002113

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The exact solution for the wave function in the k-photon Jaynes–Cummings model with detuning is obtained. In particular, the higher-order squeezing and amplitude-squared squeezing of spontaneous emission in this model are studied. The results show clearly that the higher-order squeezing and amplitude-squared squeezing are independent of second-order squeezing and antibunching.
An analysis of the effects of detuning and the superposition angle on amplitude-squared (AS) squeezing is presented for the one- and two-photon Jaynes-Cummings model (JCM) using coherent and squeeze inputs. In the one-photon JCM for squeezed inputs, it is shown that the degree of AS squeezing increases as the detuning increases. The two-photon JCM, on the other hand, displays this characteristic only for coherent input in a small range of values of the detuning. The superposition angle affects the degree of AS squeezing more significantly for a detuned field than for a tuned one. The behavior of AS squeezing becomes independent of the value of the superposition angle in both the models for large initial average photon number, n\ifmmode\bar\else\textasciimacron\fi{}, with any value of detuning and for large detuning with any value of n\ifmmode\bar\else\textasciimacron\fi{}.
Amplitude-squared squeezing is investigated for the two-photon Jaynes-Cummings model with the field initially in a squeezed vacuum or a more general squeezed state. For small values of the coherence parameter and large values of the squeeze parameter, the amplitude-squared variances show threefold oscillatory behavior on the long time scale. It is found that a ground-state atom (as against an excited one) leads to considerable enhancement of the input amplitude-squared squeezing. The behavior of photon number squared and its relationship to the amplitude-squared squeezing is commented upon.