Heat production and current noise for single- and double-cavity quantum capacitors

TL;DR

This paper investigates the frequency-dependent noise and heat production in single- and double-cavity quantum capacitors emitting electrons and holes, revealing how pair emissions affect noise and energy dissipation.

Contribution

It provides a detailed analysis of heat and noise in quantum capacitors, highlighting the effects of pair emissions on noise enhancement and energy dissipation.

Findings

Relaxation resistance quantum sets heat production rate at low temperature.

Double-cavity emitters show increased noise when emitting pairs.

Energy dissipation varies depending on electron-hole or electron-electron pair emissions.

Abstract

We analyze the frequency-dependent noise and the heat production rate for a dynamical quantum capacitor in the regime in which it emits single particles, electrons and holes. At low temperature and slow driving the relaxation resistance quantum, R_{q} = h/(2e^2), defines the heat production rate in both the linear and non-linear response regimes. If a double-cavity capacitor emits particles in pairs, the noise is enhanced. In contrast the energy dissipated is suppressed or enhanced depending on whether an electron-hole pair or an electron-electron (a hole-hole) pair is emitted.