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Frontiers in Optics

Trapping and storing light in χ(2) photonic crystals

Giuseppe D’Aguanno

Published Jan 1, 2003• 0 citations
Publisher

Abstract

A study of parametric down-conversion in photonic crystals reveals that the probe field can be slowed down to 11m/s: i.e. a tunneling velocity previously reported only for coherently resonant interactions in Bose-Einstein condensates.
DOI
10.1364/fio.2003.mf2

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A study of parametric nonlinear frequency down-conversion in photonic crystals reveals that under suitable conditions the probe field can be slowed down to approximately 11 m/s. The effect arises as a result of the simultaneous availability of global phase-matching conditions, field localization, and gain experienced by the probe beam. Together, these effects conspire to yield tunneling velocities previously reported only for coherently resonant interactions, i.e., electromagnetic induced transparency, in Bose-Einstein condensates, hot atomic gases, and doped crystals.
I n 1998, laser pulses were slowed [1] in a Bose-Einstein condensate (BEe) [2] ofsodium to only 17 m/s, more than seven orders of magnitude lower than the speed of light in vacuum. Associated with the dramatic reduction factor for the light speed was a spatial compression of the pulses by the same large factor. A light pulse, which was more than 1 km long in vacuum, was compressed to a size of -50 flm, and at that point was completely contained within the condensate [1]. This allowed the light-slowing experiments to be brought to their ultimate extreme [3]: in the summer of 2000, light pulses were completely stopped, stored, and subsequently revived in an atomic medium, with millisecond storage times [4]. The initial ultra-slow light experiments spurred a flurry of slow light investigations, and slow or partially stopped light has now been observed in limited geometries in warm rubidium vapours [5-7], liquid-nitrogen cooled crystals [8], and recently in room temperature crystals [9]. Here, we begin with a discussion ofultra-slow and stopped light. We describe how cold atoms and Bose-Einstein condensates have been manipulated to generate media with extreme optical properties. While the initial experiments concentrated on the light propagation, we have recently begun a number of investigations of the effects that slow light has on the medium in which it propagates. Effects are profound because both the velocity and length scales associated with propagating light pulses have been brought down to match the characteristic velocity and length scales of the medium. With the most recent extension, the light roadblock [10], we have compressed light pulses to a length ofonly 2 f!ill. Here, we describe the use of ultra-compressed light pulses to probe superfluidity and the creation of quantized vortices in BEes through formation of'superfluid shock. waves'. We also present the observation of an ultra-slow-light-based, pulsed atom laser. Furthermore, we demonstrate the use of slow and stopped light for manipulation of optical information, in particular in Bose-Einstein condensates that allow for phase coherent processing of three-dimensional, compressed patterns of stored optical information.
Summary form only given. The microscopic theory of interacting Bose gases developed more than 50 years ago by Bogoliubov plays an essential role in the description of these systems. However, processes such as Beliaev damping are not predicted by the mean field approximation. Recently, the observation of Beliaev damping for a scissors mode of a BEC of rubidium atoms has been reported allowing the consideration of theory beyond the mean field. The Beliaev damping process is, in a sense, analogous to parametric down conversion of light, where one photon incident on a nonlinear crystal with second order susceptibility is split into two new photons of lower frequencies. Parametric down conversion has long been considered as an important source of squeezed states. In this paper we point out that similar processes can be observed in BEC.