Ultracold three-body recombination in two dimensions - D'Incao, J. P.; Anis, F.; Esry, Brett D. (My University, 2016)
Citation: D'Incao, J. P., Anis, F., & Esry, B. D. (2015). Ultracold three-body recombination in two dimensions. Physical Review A, 91(6), 10. doi:10.1103/PhysRevA.91.062710
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 semianalytical 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 find a slow approach to universal predictions as a function of the scattering length.
Keywords: 2-Dimensional Fermi Gas; Few-Body Systems; Scattering Length; Identical; Bosons; Atoms