Nonperturbative and perturbative treatments of parametric heating in atom traps

Details Nonperturbative and perturbative treatments of parametric heating in atom traps Nonperturbative and perturbative treatments of parametric heating in atom traps

2001-04-24

arxiv.org/abs/physics/0104075v1

Physics

Atomic Physics

12 pages, 2 figures

Scientific paper

10.1103/PhysRevA.64.053408

We study the quantum description of parametric heating in harmonic potentials both nonperturbatively and perturbatively, having in mind atom traps. The first approach establishes an explicit connection between classical and quantum descriptions; it also gives analytic expressions for properties such as the width of fractional frequency parametric resonances. The second approach gives an alternative insight into the problem and can be directly extended to take into account nonlinear effects. This is specially important for shallow traps.

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