Phys. Rev. A 71, 041602(R) (2005) [4 pages]Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential
We show that the dispersion properties imposed by an external periodic potential ensure both energy and quasimomentum 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 quasimomentum k0 is transferred almost completely (>95%) into a pair of correlated atomic components with quasimomenta k1 and k2, if the system is seeded with a smaller number of atoms with the appropriate quasimomentum k1. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.041602
DOI:
10.1103/PhysRevA.71.041602
PACS:
03.75.Kk, 03.75.Lm, 05.45.−a
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