# A quantum interference capacitor based on double-passage Landau-Zener-St\"uckelberg-Majorana interferometry

## TL;DR

This paper introduces a novel electrically-tunable quantum interference capacitor based on double-passage Landau-Zener-Stückelberg-Majorana interferometry in a double quantum dot, demonstrating controllable capacitance oscillations influenced by quantum coherence and relaxation effects.

## Contribution

It proposes and experimentally demonstrates a new quantum device utilizing Landau-Zener-Stückelberg-Majorana interferometry for tunable single-electron capacitance control.

## Key findings

- Capacitance oscillation period is proportional to excitation frequency.
- Oscillation amplitude depends on relaxation, coherence time, and tunneling rate.
- Device exhibits sinusoidal capacitance dependence tunable by electric means.

## Abstract

The implementation of quantum technologies in electronics leads naturally to the concept of coherent single-electron circuits, in which a single charge is used coherently to provide enhanced performance. In this work, we propose a coherent single-electron device that operates as an electrically-tunable capacitor. This system exhibits a sinusoidal dependence of the capacitance with voltage, in which the amplitude of the capacitance changes and the voltage period can be tuned by electric means. The device concept is based on double-passage Landau-Zener-St\"uckelberg-Majorana interferometry of a coupled two-level system that is further tunnel-coupled to an electron reservoir. We test this model experimentally by performing Landau-Zener-St\"uckelberg-Majorana interferometry in a single-electron double quantum dot coupled to an electron reservoir and show that the voltage period of the capacitance oscillations is directly proportional to the excitation frequency and that the amplitude of the oscillations depends on the dynamical parameters of the system: intrinsic relaxation and coherence time, as well as the tunneling rate to the reservoir. Our work opens up an opportunity to use the non-linear capacitance of double quantum dots to obtain enhanced device functionalities.