Non-symmetrized quantum noise in a Kondo quantum dot

TL;DR

This paper develops a theoretical framework using Keldysh Green functions to analyze finite-frequency quantum noise in interacting, asymmetric Kondo quantum dots, providing analytical expressions and studying their dependence on system parameters.

Contribution

It introduces a comprehensive theory for quantum noise in Kondo quantum dots with interactions and asymmetries, including analytical formulas and detailed parameter analysis.

Findings

Derived an analytical expression for quantum noise in quantum dots.

Analyzed the impact of Coulomb interactions and asymmetry on noise.

Explored the dependence of noise on energy level and bias voltage.

Abstract

The fluctuations of electrical current provide information on the dynamics of electrons in quantum devices. Understanding the nature of these fluctuations in a quantum dot is thus a crucial step insofar as this system is the elementary brick of quantum circuits. In this context, we develop a theory for calculating the quantum noise at finite frequency in a quantum dot connected to two reservoirs in the presence of interactions and for any symmetry of the couplings to the reservoirs. This theory is developed in the framework of the Keldysh non-equilibrium Green function technique. We establish an analytical expression for the quantum noise in terms of the various transmission amplitudes between the reservoirs and of some effective transmission coefficient which we define. We then study the noise as a function of the dot energy level and the bias voltage. The effects of both Coulomb interactions in the dot and asymmetric couplings with the reservoirs are characterized.