Probing the BCS-BEC crossover with photons in a nonlinear optical fiber

Details Probing the BCS-BEC crossover with photons in a nonlinear optical fiber Probing the BCS-BEC crossover with photons in a nonlinear optical fiber

2011-06-24

arxiv.org/abs/1106.4936v1

Physics

Quantum Physics

4 and bit pages, 4 figures, comments welcome

Scientific paper

We propose a scheme where strongly correlated photons generated inside a hollow-core one-dimensional fiber filled with two cold atomic species can be used to simulate the BCS-BEC crossover. We first show how stationary light-matter excitations (polaritons) in the system can realize an optically tunable two component Bose-Hubbard model, and then analyze the optical parameters regime necessary to generate an effective Fermi-Hubbard model of photons exhibiting Cooper pairing. The characteristic correlated phases of the system can be efficiently observed due to the {\it in situ} accessibility of the photon correlations with standard optical technology.

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