Approach to chaos in ultracold atomic and molecular physics: Statistics of near-threshold bound states for Li+CaH and Li+CaF

Frye, M. D.; Morita, M.; Vaillant, C. L.; Green, D. G.; Hutson, J. M.

Abstract

We calculate near-threshold bound states and Feshbach resonance positions for atom–rigid-rotor models of the highly anisotropic systems Li+CaH and Li+CaF. We perform statistical analysis on the resonance positions to compare with the predictions of random matrix theory. For Li+CaH with total angular momentum J=0 we find fully chaotic behavior in both the nearest-neighbor spacing distribution and the level number variance. However, for J>0 we find different behavior due to the presence of a nearly conserved quantum number. Li+CaF (J=0) also shows apparently reduced levels of chaotic behavior despite its stronger effective coupling. This may indicate the development of another good quantum number relating to a bending motion of the complex. However, continuously varying the rotational constant over a wide range shows unexpected structure in the degree of chaotic behavior, including a dramatic reduction around the rotational constant of CaF. This demonstrates the complexity of the relationship between coupling and chaotic behavior.

Citation

Frye, M. D., Morita, M., Vaillant, C. L., Green, D. G., & Hutson, J. M. (2016). Approach to chaos in ultracold atomic and molecular physics: Statistics of near-threshold bound states for Li+CaH and Li+CaF. Physical Review A, 93(5), Article 053713. https://doi.org/10.1103/physreva.93.052713

• Journal Article Type: Article
• Acceptance Date: Apr 21, 2016
• Online Publication Date: May 23, 2016
• Publication Date: May 23, 2016
• Deposit Date: Jul 25, 2016
• Publicly Available Date: Jul 28, 2016
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 93
• Issue: 5
• Article Number: 053713
• DOI: https://doi.org/10.1103/physreva.93.052713
• Public URL: https://durham-repository.worktribe.com/output/1379066
• Related Public URLs: https://arxiv.org/abs/1511.08744