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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Multi-zone atom beam splitter by Raman transitions

Sergey Borisenok, Yu. D. Selishcheva, Yu. Rozhdestvensky

Published May 2, 2006• 0 citations
Publisher

Abstract

We present an effective atomic beam splitter based on the interaction between three-level atom and the field of the standing optical waves with relative spatial shift φ=π/2. We show that using of several interaction zones of the standing waves with the different spatial shift it makes possible to reach the splitting 2n&barh;k (where n is the number of zone) in each of lower three-level Λ-atom state.

DOI
10.1117/12.682376

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We present an effective atomic beam splitter based on the interaction between three-level atom and the field of the standing optical waves with relative spatial shift φ=π/2. We show that using of several interaction zones of the standing waves with the different spatial shift it makes possible to reach the splitting 2n&barh;k (where n is the number of zone) in each of lower three-level Λ-atom state.
Control in multi-zone atomic beam splitters needs for the practical realization of nanoscale lithography by coherent scattering of the atoms. We propose an effective atomic beam splitter based on the interaction of three-level atom with the field of the standing optical waves having relative spatial shifts. It is shown, that using of several interaction zones of the standing waves having the different spatial shift it make possible to reach the splitting 2n/spl planck/k (where n is the number of zone) in each of lower three-level /spl Lambda/-atom state.
We investigate schemes for the clean splitting of beams of three-level atoms using two standing-wave laser fields within an optical cavity. The proposed beam splitter is shown to work for atoms in the \ensuremath{\Lambda} ladder, and ssV configurations. For appropriate values of Rabi frequencies and detunings, we obtain a triangular type of potential for the atomic states of interest. As well as modeling the coherent evolution of the systems, we have used quantum Monte Carlo wave-function methods to model the effects of spontaneous emission on the resulting diffraction pattern, finding significant differences between the three configurations. We also investigate the limits of the Raman-Nath approximation for our systems, using the symmetric split-operator technique to include the effects of the kinetic term in the Hamiltonian. We also present the results of calculations in which the split output beams are recombined, demonstrating the expected interference for differently prepared input beams. In comparison with two-level beam splitters using a single standing wave, we obtain a superior splitting, while, in comparison with magneto-optical beam splitters, our system possesses the worthwhile practical advantages of experimental simplicity.
The diffraction of the wave packet of a three-level atom in a multifrequency optical radiation field is studied. A new type of coherent beam splitter for atoms that employs the scattering of a wave packet in the field of four standing light waves with different spatial shifts is proposed on this basis. It is shown that this interaction scheme makes it possible to obtain large splittings (>100ℏ k ) of the wave packet of a three-level Λ atom in momentum space into only two coherent components. In addition, the atoms in these coherent components are in long-lived atomic states, which substantially simplifies the experimental implementation of such a splitter.
A multizone excitation of a double Λ-system with three lower and two excited states (the so-called M -atom) by an optical radiation field is presented. It is shown that the Raman excitation of such a system can be used to implement an effective atomic beam splitter in one of the lower states. The advantage of the scheme under consideration is that the formation of a space lattice of the atomic density takes place when the atomic system interacts only with the optical radiation field and does not require any additional efforts to select the internal states in which such spatial structures are formed.
A theory of an atom beam splitter is developed involving the interaction of standing-wave field pulses with $\ensuremath{\Lambda}$-type atoms. The beam splitter consists of two interaction zones, both treated in the Raman-Nath approximation. There is an initial, off-resonant field (or fields) that prepares the initial atomic state, followed by interaction with a pair of standing-wave field pulses. Using this configuration one is able to create a large-angle beam splitter with a significant suppression of unwanted momentum components. The roles of relaxation and a frequency chirp are investigated, as are initial conditions for which both ground states of the $\ensuremath{\Lambda}$ scheme are prepared by the first field. It is shown that the scheme is rather robust against fluctuations of system parameters.