Early Stage of Superradiance from Bose-Einstein Condensates
arXiv:1011.6103 · doi:10.1103/PhysRevA.82.023608
Abstract
We investigate the dynamics of matter and optical waves at the early stage of superradiant Rayleigh scattering from Bose-Einstein Condensates. Our analysis is within a spatially dependent quantum model which is capable of providing analytic solutions for the operators of interest. The predictions of the present model are compared to the predictions of a closely related mean field model, and we provide a procedure that allows one to calculate quantum expectation values by averaging over semiclassical solutions. The coherence properties of the outgoing scattered light are also analyzed, and it is shown that the corresponding correlation functions may provide detailed information about the internal dynamics of the system.
27 pages, 8 figures
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- Strong optical self-focusing effect in coherent light scattering with condensates
- Mode competition in superradiant scattering of matter waves
- Passage-time statistics of superradiant light pulses from Bose-Einstein condensates