Electronic and photonic counting statistics as probes of non-equilibrium quantum dynamics

TL;DR

This paper explores how counting statistics of charges and photons in a coupled quantum system reveal underlying non-equilibrium quantum dynamics, including bifurcations and nonlinear behaviors, using a Josephson junction model.

Contribution

It establishes a direct link between charge and photon counting statistics and the nonlinear classical dynamics in a mesoscopic quantum system.

Findings

Connection between charge and photon counting statistics in the long time limit

Identification of regimes with bifurcations in classical dynamics

Revealing coherent charge and photon transport phenomena

Abstract

When a mesoscopic conductor is coupled to a high-quality electromagnetic cavity the flow of charges and the flux of photons leaking out of the cavity can both depend strongly on the coupled quantum dynamics of the system. Using a voltage-biased Josephson junction as a model system, we demonstrate that there is a simple connection between the full counting statistics of the charges and the photons in the long time limit. We then reveal the intimate relation between the counting statistics and the nonlinear dynamics of the system, uncovering novel regimes of coherent charge and photon transport associated with bifurcations in the classical dynamics of the system.