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Chinese Physics Letters

Control of Cold Atoms by Slow Waves in a Hollow Fibre

Daijun Li, Xia-Ji Liu, Hu Huang, Shiqun Li, Yuzhu Wang

Published Feb 1, 2001• 2 citations
Publisher

Abstract

We propose that a slowly-moving standing wave can be used to manipulate the motion of an atomic wave packet in a hollow optical fibre. A cloud of cold atoms can follow the motion of such a slow wave. The evolution of an initial Gaussian atomic wave packet in the moving standing wave is calculated by numerically solving the Schrödinger equation. Our calculation shows that by using a sufficiently strong field and by adjusting the velocity of the standing wave pattern, the motion of the atomic cloud can be controlled in a hollow fibre.

DOI
10.1088/0256-307x/18/2/305

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We propose that a slowly-moving standing wave can be used to manipulate the motion of an atomic wave packet in a hollow optical fibre. A cloud of cold atoms can follow the motion of such a slow wave. The evolution of an initial Gaussian atomic wave packet in the moving standing wave is calculated by numerically solving the Schrödinger equation. Our calculation shows that by using a sufficiently strong field and by adjusting the velocity of the standing wave pattern, the motion of the atomic cloud can be controlled in a hollow fibre.
We have developed an atom-guiding technique that loads 3×1063\times 10^63×106 cold rubidium atoms into hollow-core optical fibre, an order-of-magnitude larger than previously reported results. This achievement was guided by a physically realistic simulation that led to an experimental loading efficiency of 3%3\%3%, giving a peak optical depth of over 600600600. The loading efficiency was limited only by the geometric overlap of the atom cloud an an optical guide beam, and we have identified techniques that would allows us to exceed this limit. We also present a fast and minimally destructive probing technique that enables us to follow the dynamics of the cold atom cloud as it falls into the fibre - this strengthens the confidence in our detailed model, and enables adjustment of the experiment into an optimal state. We are able to observe the effect of light-assisted cold atom collisions as well as background gas collisions in the fibre. The combination of these observations and physical understanding from the simulation allows us to estimate the ultimate limits to loading cold atoms into hollow-core fibres.
We present numerical calculations of the evolution of an atomic wave packet in the optical potential created by a laser standing wave. These calculations do not rely on the Raman-Nath approximation, and fully account for transverse atomic motion within the standing wave. Our results show that atomic dynamics is important even for very brief interactions, and that the wave packet can become well localized during and shortly after the interaction. We propose several atomic beam splitters and deflectors which make use of this effect. This effect may also have repercussions for recent proposals to measure the position of an atom in a standing wave by monitoring the phase shift of the optical field; these schemes require that the field does not act back on the atom to alter its position wave function. A standing wave can also localize the wave packet in momentum space, which we show can be used to cool an atomic beam in one transverse dimension.
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Abstract Slow light with electromagnetically induced transparency (EIT) in the core of optical fibre containing three-level atoms is investigated. The guided modes are treated in the weakly guiding approximation which renders the analysis into a manageable form. The transparency window and permittivity profile of the core due to the strong pump field in the EIT scheme is calculated. For a specific permittivity profile of the core due to EIT, the propagation constant of the weak signal field and spatial shape of fundamental guided mode are calculated by solving the vector wave equation using the finite difference method. It is found that the transparency window and slow light field can be controlled via the optical fibre parameters. The reduced group velocity of slow light in this configuration is useful for many technological applications such as optical memories, effective control of single photon fields, optical buffers and delay lines.
Summary form only given. Recent advances in cold atom physics have seen the emergence of the area of atom guiding along hollow core optical fibres and also along light beams. Both employ the optical dipole force which for suitably tuned light can restrict the atoms to the dark hollow region of the fibre or the light beam. In this work, we discuss and analyse a novel scheme of channelling cold atoms into a high-order Bessel beam (via a high-order Laguerre-Gaussian beam) and demonstrate an efficient method of producing such beams.