Probing the energy reactance with adiabatically driven quantum dots

TL;DR

This paper investigates the energy reactance in quantum dots, demonstrating its role in time-dependent transport and its importance in charge relaxation resistance, with a proposed experiment to observe this phenomenon.

Contribution

It introduces the concept of energy reactance in quantum tunneling and proposes an experiment to detect its effects in quantum dots.

Findings

Energy reactance manifests in time-dependent transport.

It is essential for understanding charge relaxation resistance.

A feasible experiment can demonstrate the energy reactance.

Abstract

The tunneling Hamiltonian describes a particle transfer from one region to the other. While there is no particle storage in the tunneling region itself, it has associated certain amount of energy. We name the corresponding flux energy reactance since, like an electrical reactance, it manifests itself in time-dependent transport only. Noticeably, this quantity is crucial to reproduce the universal charge relaxation resistance for a single-channel quantum capacitor at low temperatures. We show that a conceptually simple experiment is capable of demonstrating the existence of the energy reactance.