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arXiv:quant-ph/9901038 · Journal of Optics B Quantum and Semiclassical Optics

Multiphoton coincidence spectroscopy

L Horvath, Barry C. Sanders, B. F. Wielinga

Published Aug 1, 1999• 7 citations
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Abstract

We extend the analysis of photon coincidence spectroscopy beyond bichromatic excitation and two-photon coincidence detection to include multichromatic excitation and multiphoton coincidence detection. Trichromatic excitation and three-photon coincidence spectroscopy are studied in detail, and we identify an observable signature of a triple resonance in an atom-cavity system.

DOI
10.1088/1464-4266/1/4/315

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We extend the analysis of photon coincidence spectroscopy beyond bichromatic excitation and two-photon coincidence detection to include multichromatic excitation and multiphoton coincidence detection. Trichromatic excitation and three-photon coincidence spectroscopy are studied in detail, and we identify an observable signature of a triple resonance in an atom-cavity system.
Photon coincidence spectroscopy relies on detecting multiphoton emissions from the combined atom-cavity system in atomic beam cavity quantum electrodynamics experiments. These multiphoton emissions from the cavity are nearly simultaneous approximately on the cavity lifetime scale. We determine the optimal time for the detection window of photon pairs in two-photon coincidence spectroscopy. If the window time is too short, some photon pairs will not be detected; if the window time is too long, too many nearly coincident independent single photons will be falsely interpreted as being a photon pair. The paper has been submitted to The European Physical Journal D.
We show that photon coincidence spectroscopy can provide an unambiguous signature of two atoms simultaneously interacting with a quantized cavity field mode. We also show that the single-atom Jaynes—Cummings model can be probed effectively via photon coincidence spectroscopy, even with deleterious contributions to the signal from two-atom events. In addition, we have explicitly solved the eigenvectors and eigenvalues of two two-level atoms coupled to a quantized cavity mode for differing coupling strengths.
Photon coincidence spectroscopy is a promising technique for probing the nonlinear regime of cavity quantum electrodynamics in the optical domain, however its accuracy is mitigated by two factors: higher-order photon correlations, which contribute to an enhanced pair count rate, and non-simultaneity of emitted photon pairs from the optical cavity. We show that the technique of photon coincidence spectroscopy is effective in the presence of these effects if the quantitative predictions are adjusted to include non-simultaneity and higher-order correlations.
Summary form only given.The Jaynes-Cummings model (JCM) of a two-level atom interacting with a single mode of a high-finesse cavity in the strong-coupling regime forms the basis of studies in strong-coupling cavity quantum electrodynamics. Jaynes and Cummings demonstrated that the semiclassical model of radiation could account for the observed properties of the coupled atom-cavity system, and it has remained a challenge to observe the nonclassical features of the JCM, specifically those that reveal quantum entanglement between the atomic internal degrees of freedom and the single-mode cavity field. The key to observing nonclassical effects is to access the nonlinear regimen of the spectrum (beyond the first couplet of the JCM ladder). This has been accomplished in the microwave domain, but the optical domain presents difficulties that are not significant in the microwave experiments. Recently, the method of photon coincidence (or correlation) spectroscopy (PCS) has been proposed to overcome these difficulties and provide an experimental signature of the nonlinear regimen of the JCM spectrum. The atom is excited directly by a bichromatic laser field, and two-photon coincidence detection is performed on the cavity output field. Here we consider the complication that arises because the two-photon de-excitation is not instantaneous: the temporal separation between the two photons in the pair is random and of the order of the cavity lifetime. We also determine the optimal window time T for detecting photon pairs in order to maximize the number of genuine pairs while minimizing the number of false pairs. Our simulations, using a Bloch function expansion for solving the master equation, yield optimal values of T.