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arXiv:quant-ph/0201121

Measurement of Wigner function via atomic beam deflection in Raman- Nath regime

Ashfaq H. Khosa, Muhammad Suhail Zubairy

Published Jan 26, 2002• 0 citations
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Abstract

This paper has been withdrawn by the author(s)
DOI
10.48550/arxiv.quant-ph/0201121

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A method for the reconstruction of photon statistics and even the Wigner function of a quantized cavity field state is proposed. The method is based on the measurement of momentum distribution of two-level atoms in the Raman–Nath regime. Both the cases of resonant and off-resonant atom–field interaction are considered. The Wigner function is reconstructed by displacing the photon statistics of the cavity field. This reconstruction method is straightforward and does not need much mathematical manipulation of experimental data.
Atomic beam deflection in a quantum field is studied theoretically for the case of an atom passing through the mode of a resonant optical cavity. Deflection probability is calculated for a coupling rate g of order g/2{pi}=1 MHz, which is experimentally feasible in a short optical cavity. Atomic velocities are taken in the range of 1-10 m/s, which can be reached with current cooling and trapping techniques. We calculate deflection for a coherent state with mean photon number , and for a number state. For the parameters studied, the predicted scattering is in an intermediate regime between Raman-Nath and Bragg, but is closer to the former. We find significant deflection probability even for =1, indicating potential for a high level of sensitivity. We report on our progress in the experimental realization of this system with laser cooled sodium atoms as the atomic medium, and directions for future work are indicated.