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
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References
SHOWING 1-10 OF 22 REFERENCES
Tunnelling rates for the nonlinear Wannier-Stark problem
- Physics
- 2006
We present a method to numerically compute accurate tunnelling rates for a Bose–Einstein condensate which is described by the nonlinear Gross–Pitaevskii equation. Our method is based on a…
Mechanical Action of Light on Atoms
- Physics, Education
- 1990
Control of atomic motion with resonant laser light is the most interesting field of research which is rapidly expanding. The book discusses the latest theoretical and experimental achievements in the…
Effect of a potential step or impurity on the Bose-Einstein condensate mean field
- Physics
- 2005
The full set of stationary states of the mean field of a Bose-Einstein condensate in the presence of a potential step or pointlike impurity are presented in closed analytic form. The nonlinear…
Tunable tunneling: An application of stationary states of Bose-Einstein condensates in traps of finite depth
- Physics
- 2001
The fundamental question of how Bose-Einstein condensates tunnel into a barrier is addressed. The cubic nonlinear Schrodinger equation with a finite square well potential, which models a…
Resonance solutions of the nonlinear Schrödinger equation: Tunneling lifetime and fragmentation of trapped condensates
- Physics
- 2005
It is shown here how the lifetimes and energies of resonance states can be calculated by applying the complex scaling transformation to the nonlinear Schrodinger equation. It is essential to first…
Motion of a Bose–Einstein Condensate Bright Soliton Incident on a Step-Like Potential
- Physics
- 2007
The motion characteristics of a Bose–Einstein condensate bright soliton incident on a local step-like potential barrier are investigated analytically by means of the variational approach. The…
Macroscopic quantum tunnelling of Bose–Einstein condensates in a finite potential well
- Physics
- 2005
Bose–Einstein condensates are studied in a potential of finite depth which supports both bound and quasi-bound states. This potential, which is harmonic for small radii and decays as a Gaussian for…
Anomalous tunneling of phonon excitations between two Bose-Einstein condensates.
- PhysicsPhysical review letters
- 2003
It is shown that a strong barrier proves to be transparent for the excitations at low energy epsilon for the tunneling of phonon excitations across a potential barrier separating two condensates.
Nonlinear band structure in Bose-Einstein condensates: Nonlinear Schrödinger equation with a Kronig-Penney potential
- Physics
- 2005
All Bloch states of the mean field of a Bose-Einstein condensate in the presence of a one-dimensional lattice are presented in closed analytic form. The band structure is investigated by analyzing…
Multiphoton Processes in Atoms
- Physics
- 2000
Multiphoton ionization of atoms in intense laser-light fields is gaining ground as a spectroscopic diagnostic tool. In this volume, Delone and Krainov present both their own and other theoretical…