Level statistics of quantum dots coupled to reservoirs

TL;DR

This paper investigates how electron tunneling influences the energy level statistics of quantum dots coupled to reservoirs, revealing new asymptotic behaviors due to indirect level coupling observable in absorption experiments.

Contribution

It introduces the concept of renormalized spectral weights affecting level statistics, highlighting a novel indirect coupling mechanism in quantum dot-reservoir systems.

Findings

Direct coupling causes level broadening

Indirect coupling leads to new asymptotic statistics

Features are observable in absorption experiments

Abstract

We study the effect of electron tunneling on the level statistics of quantum dots. While the coupling between individual levels and the electron reservoir leads predominantly to the expected level broadening, the indirect coupling of adjacent levels via the reservoir results in a new asymptotic level statistics and broadening. These features, which are attributed to renormalized spectral weights rather than renormalized eigenvalues of the Hamiltonian, are observable in the asymptotic frequency dependence in an absorption experiment.