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
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
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
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
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
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,

References

SHOWING 1-10 OF 22 REFERENCES
Tunnelling rates for the nonlinear Wannier-Stark problem
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
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
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
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
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
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
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.
TLDR
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
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
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
...
...