The Efimov effect for three dipoles

ORAL

Abstract

The hyperspherical adiabatic representation is used to numerically solve the three-dipole problem. We show that this gives the characteristic Efimov potential in the limit of a zero-energy two-body bound state. Near such a dipole-dipole resonance, the infinite series of three-dipole Efimov states can strongly affect three-dipole collisions. A major finding is that the long-range dipolar interaction is particularly beneficial for the study of Efimov physics, in the following sense: In contrast to the usual Efimov effect, the 3-body bound and scattering properties are found to be universally determined by the $s$-wave scattering length and by the dipole length, i.e. they are insensitive to any three-body parameter. Moreover, the lifetime of Efimov states is found to increase with dipole moment. The universal scaling of the adiabatic hyperspherical potentials further implies scaling laws for the three-body recombination rates. Another result is that an effective repulsive interaction appears between a deeply-bound two-dipole molecule and a free dipole, which can stabilize an ultracold two-dipole dimer against collisional decay.

Authors

  • Yujun Wang

    JILA and Department of Physics, University of Colorado at Boulder and Department of Physics, Kansas State University, JILA, Department of Physics, University of Colorado, JILA, Department of Physics, University of Colorado at Boulder, JILA and Department of Physics, University of Colorado at Boulder

  • J. P. D'Incao

    JILA and Department of Physics, University of Colorado at Boulder, JILA and University of Colorado, Department of Physics and JILA, University of Colorado, Boulder, Colorado 80309-0440, USA, JILA, Department of Physics, University of Colorado at Boulder

  • Chris H. Greene

    JILA, Department of Physics, University of Colorado at Boulder, JILA and Department of Physics, University of Colorado at Boulder, JILA, Physics dept, University of Colorado at Boulder, Department of Physics and JILA, University of Colorado, Boulder, CO 80309, USA