Quantum Theory of Atomic Four-Wave Mixing in Bose-Einstein Condensates

Details Quantum Theory of Atomic Four-Wave Mixing in Bose-Einstein Condensates Quantum Theory of Atomic Four-Wave Mixing in Bose-Einstein Condensates

1998-11-12

arxiv.org/abs/cond-mat/9811175v1

Physics

Condensed Matter

7 pages, 4 figures

Scientific paper

10.1103/PhysRevA.59.3896

We present an exact quantum mechanical analysis of collinear four-wave mixing in a multicomponent Bose-Einstein condensate consisting of sodium atoms in the F=1 ground state. Technically, this is achieved by taking advantage of the conservation laws of the system to represent its Hamiltonian in terms of angular momentum operators. We discuss explicitly the build-up of matter-wave side-modes from noise, as well as the correlations between these modes. We show the appearance of a strong quantum entanglement between hyperfine states. We also demonstrate that for finite atomic numbers, the system exhibits periodic collapses and revivals in the exchange of atoms between different spin states.

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