Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Fractal Universality in Near-Threshold Magnetic Lanthanide Dimers

Published

Author(s)

Eite Tiesinga, Constantinos Makrides, Ming Li, Svetlana Kotochigova

Abstract

Ergodic quantum systems are often quite alike whereas non-ergodic, fractal systems are unique and display characteristic properties. In this paper we explore one of such fractal systems, weakly-bound dysprosium lanthanide molecules in an external magnetic field. As recently shown colliding ultracold magnetic dysprosium atoms display a {\it soft} chaotic behavior with a small degree of disorder. Here, we broaden this classification by investigating the generalized inverse participation ratio (GIPR) and fractal dimensions for large sets of molecular wavefunctions. Our exact close-coupling simulations reveal a dynamic phase transition from partially localized states to totally delocalized states and universality in its distribution by increasing the magnetic field strength to only a hundred Gau ss (or 10 mT). Finally, we prove the existence of nonergodic delocalized phase in the system and explained the violation of ergodicity by strong coupling between near-threshold molecular states and the nearby continuum.
Citation
Science Advances
Volume
4

Keywords

quantum chaos, Feshbach resonances, ultracold atoms

Citation

Tiesinga, E. , Makrides, C. , Li, M. and Kotochigova, S. (2018), Fractal Universality in Near-Threshold Magnetic Lanthanide Dimers, Science Advances, [online], https://doi.org/10.1126/sciadv.aap8308 (Accessed May 26, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created February 16, 2018, Updated November 10, 2018