When a single two-level atom interacts with a pair of Laguerre-Gaussian beams with opposite helicity, this leads to an efficient exchange of angular momentum between the light field and the center-of-mass motion of the atom. When the radial motion is trapped by an additional potential, the wave function of a single localized atom can be split into components that rotate in opposite direction. This suggests a scheme for atom interferometry without mirror pulses.
On the basis of a simple exactly solvable model we discuss the possibilities
for state preparation and state control of atoms in a periodic optical
potential. In addition to the periodic potential a uniform force with an
arbitrary time dependence is applied. The method is based on a formal
expression for the full evolution operator in the tight-binding limit. This
allows us to describe the dynamics in terms of operator algebra, rather than in
analytical expansions.Comment: Phys. Rev. A 64, 033424 (2001
We study some effects arising from periodic modulation of the asymmetry and the barrier height of a two-well potential containing a Bose-Einstein condensate. At certain modulation frequencies the system exhibits resonances, which may lead to enhancement of the tunneling rate between the wells and which can be used to control the particle distribution among the wells. Some of the effects predicted for a two-well system can be carried over to the case of a Bose-Einstein condensate in an optical lattice.
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