39 research outputs found
2-Dimensional Dipolar Scattering
We characterize the long range dipolar scattering in 2-dimensions. We use the
analytic zero energy wavefunction including the dipolar interaction; this
solution yields universal dipolar scattering properties in the threshold
regime. We also study the semi-classical dipolar scattering and find universal
dipolar scattering for this energy regime. For both energy regimes, we discuss
the validity of the universality and give physical examples of the scattering.Comment: 4 pages 4 figure
A Model for Scattering with Proliferating Resonances: Many Coupled Square Wells
We present a multichannel model for elastic interactions, comprised of an
arbitrary number of coupled finite square-well potentials, and derive
semi-analytic solutions for its scattering behavior. Despite the model's
simplicity, it is flexible enough to include many coupled short-ranged
resonances in the vicinity of the collision threshold, as is necessary to
describe ongoing experiments in ultracold molecules and lanthanide atoms. We
also introduce a simple, but physically realistic, statistical ensemble for
parameters in this model. We compute the resulting probability distributions of
nearest-neighbor resonance spacings and analyze them by fitting to the Brody
distribution. We quantify the ability of alternative distribution functions,
for resonance spacing and resonance number variance, to describe the crossover
regime. The analysis demonstrates that the multichannel square-well model with
the chosen ensemble of parameters naturally captures the crossover from
integrable to chaotic scattering as a function of closed channel coupling
strength.Comment: 11 pages, 8 figure
Energy Dependence of Scattering Ground State Polar Molecules
We explore the total cross section of ground state polar molecules in an
electric field at various energies, focusing on RbCs and RbK. An external
electric field polarizes the molecules and induces strong dipolar interactions
leading to non-zero partial waves contributing to the scattering even as the
collision energy goes to zero. This results in the need to compute scattering
problems with many different values of total M to converge the total cross
section. An accurate and efficient approximate total cross section is
introduced and used to study the low field temperature dependence. To
understand the scattering of the polar molecules we compare a semi-classical
cross section with quantum unitarity limit. This comparison leads to the
ability to characterize the scattering based on the value of the electric field
and the collision energy.Comment: Accepted PRA, 10 pages, 5 figure