Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential

Details Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential

2004-11-09

arxiv.org/abs/cond-mat/0411228v2

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures, version accepted for publication in Phys. Rev. A, Rapid Communications

Scientific paper

10.1103/PhysRevA.71.041602

We show that the dispersion properties imposed by an external periodic potential ensure both energy and quasi-momentum conservation such that correlated pairs of atoms can be generated by four wave mixing from a Bose-Einstein condensate moving in an optical lattice potential. In our numerical solution of the Gross-Pitaevskii equation, a condensate with initial quasi-momentum k_0 is transferred almost completely (>95%) into a pair of correlated atomic components with quasi-momenta k_1 and k_2, if the system is seeded with a smaller number of atoms with the appropriate quasi-momentum k_1.

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