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arXiv · 1404.1399

Nonlinear phase shifts of light trapped in a two-component Bose-Einstein condensate

Collin M. Trail·Khulud Almutairi·David L. Feder·Barry C. Sanders
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Abstract

We investigate a method for generating nonlinear phase shifts on superpositions of photon number states. The light is stored in a Bose-Einstein condensate via electromagnetically-induced transparency memory techniques. The atomic collisions are exploited to generate a nonlinear phase shift of the stored state. The stored light is then revived with the nonlinear phase shift imprinted upon it. We show that this method can be used as a nonlinear-sign gate in the regime where the Thomas-Fermi and mean-field approximations are valid. We test these approximations using realistic parameters and find that these approximations pass the standard tests for validity in a single-component condensate. However, for the two-component condensates considered here, we find that these conditions are insufficiently strict. We find a stronger set of conditions and show for the same set of parameters that the approximations are invalid.

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Collin M. Trail, Khulud Almutairi, David L. Feder, Barry C. Sanders. 2014-04-04. Nonlinear phase shifts of light trapped in a two-component Bose-Einstein condensate. https://doi.org/10.1103/physreva.89.063823

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