Nonlinear atom optics: General formalism and atomic solitons
- 1 August 1994
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 50 (2), 1681-1691
- https://doi.org/10.1103/physreva.50.1681
Abstract
We present a many-body theory of nonlinear atom optics, and discuss some of its physical implications in the coherent regime. Considering a system of N identical two-level atoms interacting with classical and quantum-mechanical electromagnetic fields, we derive a Fock-space many-particle master equation. Introducting a Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy and a Hartree-Fock factorization to truncate this hierarchy, we obtain an effective nonlinear single-particle master equation that forms the basis of nonlinear atom optics. In the second part of the paper, we concentrate on the coherent part of that master equation, and derive an effective single-atom nonlinear Schrödinger equation. This equation leads to the prediction of a number of effects, and, in particular, several kinds of atomic solitons. We discuss and numerically study two such kinds of solitons, Thirring solitons and gap solitons. Finally, the axial containment of an atomic gap soliton is illustrated.Keywords
This publication has 16 references indexed in Scilit:
- Atomic soliton in a traveling wave laser beamPhysical Review Letters, 1994
- Nonlinear atom opticsPhysical Review Letters, 1993
- Probing Bose-Einstein condensed atoms with short laser pulsesPhysical Review Letters, 1993
- Photon-induced quantum pair correlation in an ideal quantum atomic gas with two internal levelsPhysics Letters A, 1993
- Quantized motion of cold cesium atoms in two- and three-dimensional optical potentialsPhysical Review Letters, 1993
- Quantum diffraction of ultracold atoms by a standing wave laserQuantum Optics: Journal of the European Optical Society Part B, 1993
- Two-dimesional atomic crystal bound by lightPhysical Review Letters, 1993
- Observation of quantized motion of Rb atoms in an optical fieldPhysical Review Letters, 1992
- Dynamics and spatial order of cold cesium atoms in a periodic optical potentialPhysical Review Letters, 1992
- Light incident on a Bose-condensed gasPhysical Review A, 1991