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Journal of Physics B Atomic Molecular and Optical Physics

Spectrum of squeezing in collective double optical resonance

Nikolay N. Bogolubov, A.S. Shumovsky, Tran Quang

Published Mar 28, 1988• 1 citation
Publisher

Abstract

The spectral squeezing in the fluorescent field of a collective double resonant process is investigated. A possible experimental scheme using Fabry-Perot filters for the observation of spectral squeezing is also discussed. The condition for a nearly perfect squeezing is shown.
DOI
10.1088/0953-4075/21/6/016

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The problem of spectral filtering of quantized light fields is studied, based on the recently developed quantum-optical theory of the action of passive, lossless optical systems [L. Kn\"oll, W. Vogel, and D.-G. Welsch, Phys. Rev. A 36, 3803 (1987)]. Expressions for the operator of the electric field strength of the light and the normally and time-ordered field-correlation functions are derived for the case of a Fabry-P\'erot interferometer being present. Various kinds of field decomposition that are usually considered in classical optics are studied. The results are compared with the Fourier approach to spectral properties of light. It is shown that, dependent on the experimental scheme used, new quantum effects appear, which may prevent the observation of the Fourier structure of the light as predicted from classical optics. Quantitatively this is demonstrated for the example of spectral squeezing in resonance fluorescence, where significant discrepancies between the measured and the full Fourier spectrum are found.
A theoretical investigation of spectrally filtered broadband light fields is undertaken. More specifically, the balanced homodyne correlation measurement scheme is extended using spectral filters. The technique provides a way to spectrally resolve correlation functions, making it possible to measure the squeezing spectrum. Two-level resonance fluorescence is included as a concrete example of this, providing some predictions concerning the parameters of the setup for potential experiments. Furthermore, spectral filtering is compared to electronically filtering the current generated in the photodetectors. This is of interest since filtering the current is a classical operation, whereas having optical filters in the path of the radiation is a quantum one.
A scheme which results in the simultaneous narrowing of all three spectral peaks of the Mollow triplet is proposed. In particular, we investigate the effect on resonance fluorescence of processing the squeezed output of an optical parametric oscillator by propagation through a linear dielectric. The frequency-dependent squeezing phase induced by this process is found to result in subnatural spectral widths for appropriate parameter choices. The line-narrowing mechanisms at the Rabi sidebands manifest themselves in the second-order correlation function of the fluorescent field which is found to decay at a subnatural rate. The potential for experimental realization of these phenomena is discussed.
It has been suggested that phased atomic decay in a squeezed vacuum could be detected in the fluorescence spectrum emitted from a driven two-level atom in a cavity. Recently, the existence of other very distinctive features in the fluorescence spectra arising from the nonclassical features of the squeezed vacuum has been reported. In this paper, we investigate the possibility of experimental observation of these spectra. The main obstacle to the experimentalist is ensuring an effective squeezed-vacuum-atom coupling. To overcome this problem we propose the use of a Fabry-P\'erot microcavity. The analysis involves a consideration of the three-dimensional nature of the electromagnetic field, and the possibility of a mismatch between the squeezed and cavity modes. The problem of squeezing bandwidths is also addressed. We show that under experimentally realistic circumstances many of the spectral anomalies predicted in free space also occur in this environment. In addition, we report large population inversions in the dressed states of the two-level atom.