Quantum current noise from a Born-Markov master equation

TL;DR

This paper develops a formalism to calculate non-symmetrized quantum current noise in mesoscopic devices, providing explicit results for a superconducting single electron transistor and aligning with recent experimental observations.

Contribution

It introduces a new formalism within the Born-Markov approximation for quantum current noise, specifically applied to mesoscopic devices like SSETs, with explicit calculations for DJQP resonance.

Findings

Reveals asymmetries in current noise spectrum

Clarifies high-frequency behavior of noise

Matches recent experimental measurements

Abstract

We present a formalism for calculating the non-symmetrized quantum current noise within the Born-Markov approximation for the master equation. The formalism is particularly well suited to obtaining the current noise for quantum transport in mesoscopic devices such as a superconducting single electron transistor (SSET). As an example of the method, we obtain explicit results for the double Josephson-quasiparticle (DJQP) resonance in a SSET. Our calculations reveal the asymmetries that develop in the current noise as well as clarifying the behavior at high frequencies. Our findings are consistent with recent measurements of the asymmetry in the current noise spectrum.