Quantum transitions induced by the third cumulant of current fluctuations

TL;DR

This paper explores how the third cumulant of current fluctuations can induce quantum state transitions, proposing a detection setup for frequency-dependent third cumulant effects on a quantum bit.

Contribution

It provides a theoretical framework for calculating transition rates caused by third cumulant current fluctuations and proposes a novel detection method for these effects.

Findings

Derived transition rates using Keldysh formalism

Identified the influence of third cumulant on quantum transitions

Suggested a setup for experimental detection of third cumulant effects

Abstract

We investigate the transitions induced by external current fluctuations on a small probe quantum system. The rates for the transitions between the energy states are calculated using the real-time Keldysh formalism for the density matrix evolution. We especially detail the effects of the third cumulant of current fluctuations inductively coupled to a quantum bit and propose a setup for detecting the frequency-dependent third cumulant through the transitions it induces.