title: Nonlinear and quantum atom optics.
abstract: Coherent matter waves in the form of Bose-Einstein condensates have led to the development of nonlinear and quantum atom optics - the de Broglie wave analogues of nonlinear and quantum optics with light. In nonlinear atom optics, four-wave mixing of matter waves and mixing of combinations of light and matter waves have been observed; such progress culminated in the demonstration of phase-coherent matter-wave amplification. Solitons represent another active area in nonlinear atom optics: these non-dispersing propagating modes of the equation that governs Bose-Einstein condensates have been created experimentally, and observed subsequently to break up into vortices. Quantum atom optics is concerned with the statistical properties and correlations of matter-wave fields. A first step in this area is the measurement of reduced number fluctuations in a Bose-Einstein condensate partitioned into a series of optical potential wells.
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899-8424, USA. srolston@nist.gov
authors.forename: S L
authors.initials: SL
authors.lastname: Rolston
authors.forename: W D
authors.initials: WD
authors.lastname: Phillips