Abstract

Progress in ultracold experiments with polar molecules requires a clear understanding of their interactions and reactivity at ultralow collisional energies. Two important theoretical steps in this process are the characterization of interaction potentials between molecules and the modeling of the reactive scattering mechanism. Here, we report on the ab initio calculation of isotropic and anisotropic van der Waals interaction potentials for polar KRb and RbCs colliding with each other or with ultracold atoms. Based on these potentials and two short-range scattering parameters, we then develop a single-channel scattering model with flexible boundary conditions. Our calculations show that, at low temperatures (and in the absence of an external electric field), the reaction rates between molecules or between molecules and atoms have a resonant character as a function of the short-range parameters. We also find that both the isotropic and anisotropic van der Waals coefficients have significant contributions from dipole coupling to excited electronic states. Their values can differ dramatically from those solely obtained from the permanent dipole moment. A comparison with recently obtained reaction rates of fermionic 40K87Rb shows that the experimental data cannot be explained by a model where the short-range scattering parameters are independent of the relative orbital angular momentum or partial wave.

Highlights

  • Interest, and can be Stark decelerated or cooled with a buffer gas

  • We have focused on heteronuclear KRb and RbCs molecules used in ongoing ultracold experiments

  • Analyses of the isotropic and anisotropic interaction potentials of ultracold polar molecules unveiled a significant contribution from dipole coupling to electronically excited states

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Summary

Dispersion potentials for the molecular interaction

We describe the dispersion interaction potential between molecules A and B, each in a rovibrational level |X, v J M ≡ |i, M of their X electronic ground state, by assuming that the. This section describes our results for the van der Waals coefficients C6iso and C6aniso between two polar KRb dimers and two RbCs dimers These molecules are prepared in rovibrational states of the ground X1 + potential and are of interest for ongoing ultracold experiments [1, 2, 23, 38]. Our estimate shows that an experimentally accessible external electric field of 2 kV cm−1 will induce a ≈50 MHz splitting between M = 0 and M = ±1 components of J = 1 rotational state of KRb. The anisotropic interaction terms, for example, with coefficient C6a,n0is2o ≈ 2500 au, will cause a reorientation of the magnetic sublevels for separations less than 80a0 and will contribute to the loss of molecules from the trap.

Reactive collisions of rotationless ultracold polar molecules
Conclusion
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