# Above-barrier reflection of cold atoms by resonant laser light within the Gross-Pitaevskii approximation

@article{Ishkhanyan2009AbovebarrierRO, title={Above-barrier reflection of cold atoms by resonant laser light within the Gross-Pitaevskii approximation}, author={H. A. Ishkhanyan and Vladimir P. Krainov}, journal={Laser Physics}, year={2009}, volume={19}, pages={1729-1734} }

Above-barrier reflection of cold alkali atoms by resonant laser light was considered analytically within the Gross-Pitaevskii approximation. Correction for the reflection coefficient because of a weak nonlinearity of the stationary Schrödinger equation has been derived using multiscale analysis as a form of perturbation theory. The nonlinearity adds spatial harmonics to linear incident and reflecting waves. It was shown that the role of nonlinearity increases when the kinetic energy of an atom…

## 5 Citations

Transmission resonances in above-barrier reflection of ultra-cold atoms by the Rosen–Morse potential

- Physics
- 2010

Quantum above-barrier reflection of ultra-cold atoms by the Rosen–Morse potential is analytically considered within the mean-field Gross–Pitaevskii approximation. Reformulating the problem of…

Resonant reflection of a Bose-Einstein condensate by a double barrier within the Gross-Pitaevskii equation

- Physics
- 2010

Resonant reflection of a Bose–Einstein condensate by a double delta-function barrier has been considered analytically using the Gross–Pitaevskii approximation for nonlinearity. The reflecting…

Resonant reflection of Bose-Einstein condensate by a double delta-function barrier within the Gross-Pitaevskii equation

- Physics
- 2010

Resonant reflection of a Bose-Einstein condensate by a double delta-function barrier has been considered analytically using the Gross-Pitaevskii approximation for nonlinearity. The reflection…

Higher order transmission resonances in above-barrier reflection of ultra-cold atoms

- Physics
- 2012

The reflectionless transmission resonances in above-barrier reflection of Bose-Einstein condensates by the Rosen-Morse potential are considered using the mean field Gross-Pitaevskii approach.…

Smooth double barriers in quantum mechanics

- Physics
- 2010

Quantum mechanical tunneling across smooth double barrier potentials is modeled using Gaussian functions and is analyzed numerically and by using the WKB approximation. The transmission probability,…

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