Quantum mechanical counterpart of nonlinear optics

Details Quantum mechanical counterpart of nonlinear optics Quantum mechanical counterpart of nonlinear optics

1997-05-15

arxiv.org/abs/quant-ph/9705027v1

Physics

Quantum Physics

6 pages, 4 figures, to be published in Phys. Rev. A 55 (June)

Scientific paper

10.1103/PhysRevA.55.4438

Raman-type laser excitation of a trapped atom allows one to realize the quantum mechanical counterpart of phenomena of nonlinear optics, such as Kerr-type nonlinearities, parametric amplification, and multi-mode mixing. Additionally, huge nonlinearities emerge from the interference of the atomic wave function with the laser waves. They lead to a partitioning of the phase space accompanied by a significantly different action of the time evolution in neighboring phase-space zones. For example, a nonlinearly modified coherent "displacement" of the motional quantum state may induce strong amplitude squeezing and quantum interferences.

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