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Physical Review A

Generation of three wide frequency bands within a single white-light cavity

Anas Othman, David O. Yevick, M. Al-Amri

Published Apr 9, 2018• 14 citations
Publisher

Abstract

We theoretically investigate the double-$\mathrm{\ensuremath{\Lambda}}$ scheme inside a Fabry-P\'erot cavity employing a weak probe beam and two strong driving fields together with an incoherent pumping mechanism. By generating analytical expressions for the susceptibility and applying the white-light cavity conditions, we devise a procedure that reaches the white-light condition at a smaller gas density than the values typically cited in similar previous studies. Further, when the intensities of the two driving fields are equal, a single giant white band is obtained, while for unequal driving fields three white bands can be present in the cavity. Two additional techniques are then advanced for generating three white bands and a method is described for displacing the center frequency of the bands. Finally, some potential applications are suggested.

DOI
10.1103/physreva.97.043816

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Controlling reflectivity optically over a wide range of frequency band can be of great demand technologically. In this paper we show how this can be realized using a Fabry-P´erot cavity filled with a three-level atomic gas. Furthermore, we employ both concepts of electromagnetic induced transparency EIT and the white light cavity which in turn play the essential rule to control the susceptibility of the atomic gas. Once the susceptibility is controlled, all one needs to do is to look for the satisfying resonance conditions that run over a wide range of frequencies, which results in a wide band optical switch.
Laser interferometric gravitational-wave detectors implement Fabry-P\'erot cavities to increase their peak sensitivity. However, this is at the cost of reducing their detection bandwidth, which originates from the propagation phase delay of the light. The ``white-light-cavity'' idea, first proposed by Wicht et al. [Opt. Commun. 34, 431 (1997)], is to circumvent this limitation by introducing anomalous dispersion, using a double-pumped gain medium, to compensate for such a phase delay. In this article, starting from the Hamiltonian of the atom-light interaction, we apply an input-output formalism to evaluate the quantum noise of the system. We find that apart from the additional noise associated with the parametric amplification process noted by others, the stability condition for the entire system poses an additional constraint. By surveying the parameter regimes where the gain medium remains stable (not lasing) and stationary, we find that there is no net enhancement of the shot-noise-limited sensitivity. Therefore, other gain media or different parameter regimes should be explored for realizing the white-light cavity.