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.

doi:10.1103/physreva.93.052713

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.

Authors

M.D. Frye

M. Morita

C.L. Vaillant

D.G. Green

Professor Jeremy Hutson j.m.hutson@durham.ac.uk
Professor

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., Morita, M., Vaillant, C., Green, D., & Hutson, J. (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
Related Public URLs	https://arxiv.org/abs/1511.08744

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