Seminar "Coherence-Correlations-Complexity", Dept. of Theoretical Physics, Wrocław University of Technology
Sala 320a bud. A-1, Politechnika Wrocławska
Scattering Fractals and Quantum Chaos in Ultracold Dipolar Collisions
dr Jesús Pérez Ríos
We demonstrate the existence of classical chaotic scattering in ultracold dipolar collisions in the absence of anisotropic dispersion interactions. The classical chaotic scattering, characterized by a fractal structure in a given scattering function as a function of the initial conditions, affects the quantum dynamics leading to a quantal S-matrix that follows random matrix theory predictions. We found that the classical-quantal correspondence for classical chaotic scattering systems is related to the properties of the scattering function that exhibits fractal nature in relation to the Berry-Robnik dependence. In particular, a map linking the average scattering function to the eigenphase repulsion is found. Besides the inherent fundamental implications, the presented results also provide further insights for the currently-ongoing exploration of ultracold collisions of highly-magnetic atoms.
