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Journal of Modern Optics

Quantum interference in double photon emission

Francesco Plastina, Francesco Piperno

Published Jan 1, 2002• 0 citations
Publisher

Abstract

We study Fano-like interference in double photon absorption, describing quantum beats in the second-order correlation function for both a free Λ-V system and a driven four-level scheme which approximately reproduces the first one in the dressed state picture. Because of interference, both amplitude and frequency of the beat oscillations are modified and (in some case) suppressed. In the case of the driven system, a partial coherent control of these features can be obtained, even in the presence of spontaneous emission for the driven transition.

DOI
10.1080/09500340110066429

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We study Fano-like interference in double photon absorption, describing quantum beats in the second-order correlation function for both a free Λ-V system and a driven four-level scheme which approximately reproduces the first one in the dressed state picture. Because of interference, both amplitude and frequency of the beat oscillations are modified and (in some case) suppressed. In the case of the driven system, a partial coherent control of these features can be obtained, even in the presence of spontaneous emission for the driven transition.
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We show that a dynamical suppression of spontaneous emission, predicted for a three-level atom [S.-Y. Zhu and M. O. Scully, Phys. Rev. Lett. 76, 388 (1996)] can occur in a two-level atom driven by a polychromatic field. We find that the quantum interference, responsible for the cancellation of spontaneous emission, appears between different channels of transitions among the dressed states of the driven atom. We discuss the effect for bichromatic and trichromatic (amplitude-modulated) fields and find that these two cases lead to the cancellation of spontaneous emission in different parts of the fluorescence spectrum. Our system has the advantage of being easily accessible by current experiments.
The effect of a modified reservoir on the nature of the quantum interference in the spontaneous emission of a driven double V-type four-level atom has been investigated. In the model used, the double V-type transitions of a driven atom interact respectively with a free vacuum reservoir and a modified reservoir, leading to the two possible types of quantum interference. The results show that the construction or the destruction of interference in the free vacuum reservoir depends on the type of the modified reservoir and the absence or the presence of interference in the modified reservoir. More interesting, it is shown that based on the presence or the absence of interference in the modified reservoir, interference in the free vacuum reservoir can be constructive or destructive if the modified reservoir is of the type of the free vacuum reservoir. On the other hand, the interference in the free vacuum reservoir is constructive, regardless of the presence or the absence of interference in the modified reservoir, if the modified reservoir is of the type of the photonic band gap. This case, therefore, can be used to control effectively the spontaneous emission and absorption spectra.
The appearance of quantum beats in a two-time second-order correlation function is discussed for the case of spontaneous emission from two nonidentical atoms. The atoms are separated by distances comparable with the resonance wavelength and have different transition frequencies and natural line widths. It is shown that quantum beats appear for nonidentical and identical atoms. In the latter case the dipole–dipole interaction between the atoms is a necessary condition for the appearance of quantum beats. Two mechanisms lead to quantum beats in the case of nonidentical atoms and such beats may appear even for independent atoms. The effect is similar to that of interference between independent beams.
In this review the author discusses the major effects resulting from the modification of spontaneous emission by quantum interference. He begins in Section II by presenting elementary concepts and definitions of the first- and second-order correlation functions, which are frequently used in the analysis of the interference phenomena. Section III describes the master equation approach used for analyzing quantum interference effects in atomic and molecular systems. In Sections IV and V the author reviews the fundamental quentum interference effects in spontaneous emission and in coherently driven systems. He discusses different schemes for suppression of spontaneous emission and population trapping and gives an alternative explanation of these effects in the dressed-atom picture. Section VI deals with the problem of amplification on dark transitions, which are important for information processing without spontaneous emission. The effect of quantum interference on photon correlations is discussed in Section VII. Multilevel systems composed of two transitions with parallel dipole moments and methods for generating two transitions with nonorthogonal dipole moments are briefly discussed in Section VIII. The final section (Section IX) deals with the experimental demonstration of constructive and desctructive interference effects in a driven molecular system.