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Multichannel Quantum Defect Theory with a Frame Transformation for Ultracold Atom-Molecule Collisions in Magnetic
Masato Morita1, Paul Brumer1, Timur V Tscherbul2
1Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, <a href="https://ror.org/03dbr7087">University of Toronto</a>, Toronto, Ontario M5S 3H6, Canada.
Abstract:
We extend the powerful formalism of multichannel quantum defect theory combined with a frame transformation to ultracold atom-molecule collisions in magnetic fields. By solving the coupled-channel equations with hyperfine and Zeeman interactions omitted at short range, the extended theory enables a drastically simplified description of the intricate quantum dynamics of ultracold molecular collisions in terms of a small number of short-range parameters. We apply the formalism to ultracold Mg+NH collisions in a magnetic field, achieving a 10^{4}-fold reduction in computational effort.
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