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

Frye, M. D. and Morita, M. and Vaillant, C. L. and Green, D. G. and 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). 052713.


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.

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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review A 93, 052713 © (2016) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:21 April 2016
Date deposited:28 July 2016
Date of first online publication:23 May 2016
Date first made open access:28 July 2016

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