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arXiv:quant-ph/0610022 · Physical Review Letters

Demonstration of a Tunable-Bandwidth White-Light Interferometer Using Anomalous Dispersion in Atomic Vapor

G. S. Pati, M. Salit, K. Salit, M. S. Shahriar

Published Sep 27, 2007• 157 citations
arXivHTMLPDF

Abstract

Recently, the design of a white-light cavity has been proposed using negative dispersion in an intracavity medium to make the cavity resonate over a large range of frequencies and still maintain a high cavity buildup. This Letter presents the first demonstration of this effect in a free-space cavity. The negative dispersion of the intracavity medium is caused by bifrequency Raman gain in an atomic vapor cell. A significantly broad cavity response over a bandwidth greater than 20 MHz has been observed. A key application of this device would be in enhancing the sensitivity-bandwidth product of the next generation gravitational wave detectors that make use of the so-called signal-recycling mirror.

DOI
10.1103/physrevlett.99.133601

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Recently, the design of a white-light cavity has been proposed using negative dispersion in an intracavity medium to make the cavity resonate over a large range of frequencies and still maintain a high cavity buildup. This Letter presents the first demonstration of this effect in a free-space cavity. The negative dispersion of the intracavity medium is caused by bifrequency Raman gain in an atomic vapor cell. A significantly broad cavity response over a bandwidth greater than 20 MHz has been observed. A key application of this device would be in enhancing the sensitivity-bandwidth product of the next generation gravitational wave detectors that make use of the so-called signal-recycling mirror.
This paper presents the first demonstration of a white-light-cavity in a free-space cavity. Design of a whitelight- cavity has been proposed using negative dispersion in an intra-cavity medium to make the cavity resonate over a large range of frequencies and still maintain a high cavity build-up. The negative dispersion of the intra-cavity medium is caused by bi-frequency Raman gain in an atomic vapor cell. A significantly broad cavity response over a bandwidth greater than 20 MHz has been observed.
We experimentally demonstrate that broad, tunable bandwidth of an optical ring cavity can be achieved by making use of the negative dispersion of the Kerr nonlinear refractive index in the three-level electromagnetically-induced transparency medium. For a given cavity field intensity, the white-light cavity condition can always be satisfied by choosing the appropriate coupling beam parameters. This white-light cavity scheme can be used effectively to achieve large buildup intensity in the signal-recycling cavity with a broad bandwidth in future advanced gravitational wave detectors.
Linear absorption and dispersion properties, as well as Kerr nonlinear index, of three-level atomic systems can be greatly modified under the condition of electromagnetically induced transparency (EIT). By placing such EIT atoms in a vapor cell inside an optical ring cavity, the cavity transmission spectrum can be altered and controlled. We show that the cavity transmission linewidth can be narrowed substantially comparing to the empty cavity linewidth due to the sharp normal (linear) dispersion associated with the EIT resonance (which can be considered as photons traveling with a slower speed inside the optical cavity). On the other hand, the Kerr nonlinear dispersion has the opposite slope comparing to the linear dispersion near the EIT resonance, which can be used to balance the linear dispersion and lead to total anomalous dispersion for the intracavity atomic medium (with ``superluminal photon speed'' inside the optical cavity). Such anomalous dispersion in the intracavity medium makes the cavity transmission linewidth broader than the empty cavity linewidth. Under certain parameters, the so called ``white-light cavity'' condition can be satisfied, which makes the cavity transmission linewidth very broad and, at the same time, have high cavity transmission. Such modified and controlled cavity transmission linewidths can have many interesting applications in frequency locking, cavity ring-down spectroscopy, nonlinear optical spectroscopy, cavity-QED, and even recycling cavity of the gravitational-wave detector.
Summary form only given. We report on the experimental realization of negative-dispersion in nevertheless nonabsorbing media. Such media are relevant for various reasons. They may be used, for example, inside a cavity to increase its bandwidth without sacrificing its buildup (white light cavity). This could be a promising application for gravitational wave detectors. Furthermore, white-light cavities are real distance measurement devices, because residual frequency noise of the laser used to measure the cavity length does not effect the measurement.
We discuss bandwidth enhancement of a cavity without reducing its maximum intensity buildup in a regime where the light propagation dynamics is crucial. The enhancement relies on a frequency-dependent phase compensation via negative dispersion provided by a coherently prepared atomic medium in the cavity. We analyze the spatiotemporal dynamics in such a white-light cavity with a full simulation of the field propagation. We find that the probe field dispersion is in addition changed by a coherent field which is generated within the medium via four-wave mixing. Counterintuitively, this in-medium dynamics leads to a further enhancement of the cavity bandwidth.
Recently, a tunable bandwidth white light cavity (WLC) was demonstrated by using an anomalously dispersive intra-cavity medium to adjust a cavity linewidth without reducing the cavity buildup factor [G.S. Pati et al., Phys. Rev. Lett. 99, 133601 (2007)]. In this paper, we show theoretically how such a WLC can be used to realize a distortion-free delay system for a data pulse. The system consists of two WLCs placed in series. Once the pulse has passed through them, the fast-light media in both WLCs are deactivated, so that each of these now acts as a very high reflectivity mirror. The data pulse bounces around between these mirrors, undergoing negligible attenuation per pass. The trapped pulse can be released by activating the fast-light medium in either WLC. Numerical simulations show that such a system can far exceed the delay-bandwidth constraint encountered in a typical data buffer employing slow light. We also show that the pulse remains virtually undistorted during the process.