Disappearance of Quantum Chaos in Coupled Chaotic Quantum Dots

TL;DR

This paper investigates how coupling between chaotic quantum dots affects their energy level statistics, revealing a transition from chaotic to regular behavior and discussing implications for conductance phenomena.

Contribution

It demonstrates that coupling in chaotic quantum dots leads to the disappearance of quantum chaos and a shift to Poissonian level statistics, providing new insights into quantum dot behavior.

Findings

Level repulsion disappears in coupled chaotic quantum dots

Nearest neighbor level statistics become Poissonian

Implications for conductance peaks in symmetric DQDs

Abstract

Statistical properties of the single electron levels confined in the semiconductor (InAs/GaAs, Si/SiO2) double quantum dots (DQDs) are considered. We demonstrate that in the electronically coupled chaotic quantum dots the chaos with its level repulsion disappears and the nearest neighbor level statistics becomes Poissonian. This result is discussed in the light of the recently predicted "huge conductance peak" by R.S. Whitney at al. (Phys. Rev. Lett. {\bf 102}, 186802 (2009)) in the mirror symmetric DQDs.