# Quasiparticles of periodically driven quantum dot coupled between superconducting and normal leads

## TL;DR

This paper studies the behavior of in-gap quasiparticles in a quantum dot system under periodic driving, using Floquet theory to analyze spectral properties and proposing experimental detection methods.

## Contribution

It introduces a Floquet-based analysis of quasiparticle spectra in a driven quantum dot coupled to superconducting and normal leads, highlighting spectral weight redistribution.

## Key findings

- Spectral weights shift between harmonics with driving parameters.
- Proposes spectroscopic methods to detect in-gap quasiparticles.
- Analyzes quasienergy spectra under periodic driving.

## Abstract

We investigate subgap quasiparticles of a single level quantum dot coupled to the superconducting and normal leads, whose energy level is periodically driven by external potential. Using the Floquet formalism we determine the quasienergies and analyze redistribution of their spectral weights between individual harmonics upon varying the frequency and amplitude of the driving potential. We also propose feasible spectroscopic methods for probing the in-gap quasiparticles observable in the differential conductance of the charge current averaged over a period of oscillations.