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Manifestation of quantum chaos in Fano-Feshbach resonances

Publication at Faculty of Mathematics and Physics |
2018

Abstract

A model is presented that mimics the nearest-neighbor-spacing (NNS) distribution of chaotic molecules such as Dy-2 and Er-2 just below their dissociation threshold. In this model the degree of chaos is controlled by choosing suitable Hamiltonian matrices from random ensembles.

It is found that, in versions of the model that are not completely chaotic, the NNS of observable Fano-Feshbach resonances exhibits greater level repulsion, hence more chaos, than the corresponding NNS of a typical energy spectrum of the molecule at a fixed magnetic field.