SCATTERING INVOLVING PROMPT AND EQUILIBRATED COMPONENTS, INFORMATION THEORY, AND CHAOTIC QUANTUM DOTS

TL;DR

This paper introduces an information-theoretic model for chaotic scattering processes with prompt and equilibrated components, successfully describing electronic transport in quantum dots and predicting a distinctive conductance distribution.

Contribution

It adapts a nuclear physics model to quantum dot transport, incorporating flux conservation and causality, and predicts a novel two-peak conductance distribution.

Findings

Model accurately describes electronic transport in chaotic quantum dots.

Predicts a two-peak structure in conductance distribution.

Satisfies physical constraints like flux conservation and causality.

Abstract

We propose an information-theoretic statistical model to describe the universal features of those chaotic scattering processes characterized by a prompt and an equilibrated component. The model, introduced in the past in nuclear physics, incorporates the average value of the scattering matrix to describe the prompt processes, and satisfies the requirements of flux conservation, causality, and ergodicity. We show that the model successfully describes electronic transport through chaotic quantum dots. The predicted distribution of the conductance may show a remarkable two-peak structure.