Scattering phase of quantum dots: Emergence of universal behavior

TL;DR

This paper studies the scattering phase in chaotic quantum dots, revealing universal phase lapse behavior in the short wavelength limit, supported by numerical results and experimental agreement.

Contribution

It demonstrates the emergence of universal phase lapse sequences in quantum dots, a novel insight into their scattering properties in the short wavelength regime.

Findings

Universal phase lapses of π occur systematically between resonances.

Numerical simulations support the emergence of universal behavior.

Results align qualitatively with experimental observations.

Abstract

We investigate scattering through chaotic ballistic quantum dots in the Coulomb blockade regime. Focusing on the scattering phase, we show that large universal sequences emerge in the short wavelength limit, where phase lapses of $\pi$ systematically occur between two consecutive resonances. Our results are corroborated by numerics and are in qualitative agreement with existing experiments.