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arXiv · 1411.2321

Ultracold Three-body Recombination in Two Dimensions

J. P. D'Incao·Fatima Anis·B. D. Esry
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Abstract

We study three-body recombination in two dimensions for systems interacting via short-range two-body interactions in the regime of large scattering lengths. Using the adiabatic hyperspherical representation, we derive semi-analytical formulas for three-body recombination in both weakly and deeply bound diatom states. Our results demonstrate the importance of long-range corrections to the three-body potentials by showing how they alter the low-energy and scattering length dependence of the recombination rate for both bosonic and fermionic systems, which exhibit suppressed recombination if compared to the three-dimensional case. We verify these results through numerical calculations of recombination for systems with finite-range interactions and supporting a few two-body bound states. We also study finite-range effects for the energies of the universal three-identical-bosons states and found a slow approach to universal predictions as a function of the scattering length.

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J. P. D'Incao, Fatima Anis, B. D. Esry. 2014-11-10. Ultracold Three-body Recombination in Two Dimensions. https://arxiv.org/abs/1411.2321

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