Dynamical leakage of Majorana mode into side-attached quantum dot

TL;DR

This paper investigates the time-dependent transfer of Majorana quasiparticles into a quantum dot attached to a topological superconductor, estimating a 20-nanosecond leakage time and proposing a detection method via time-resolved spectroscopy.

Contribution

It provides the first estimate of the dynamical leakage time of Majorana modes into a quantum dot and suggests an experimental protocol for its detection.

Findings

Majorana mode leaks into the quantum dot in about 20 nanoseconds.

Proposed a feasible time-resolved Andreev tunneling spectroscopy method for detection.

Estimated the dynamical process duration for typical hybrid structures.

Abstract

We study a hybrid structure, comprising the single-level quantum dot attached to the topological superconducting nanowire, inspecting dynamical transfer of the Majorana quasiparticle onto normal region. Motivated by the recent experimental realization of such heterostructure and its investigation under the stationary conditions [L. Schneider et al., https://doi.org/10.1038/s41467-020-18540-3, Nature Communications 11, 4707 (2020)] where the quantum dot energy level can be tuned by gate potential we examine how much time is needed for the Majorana mode to leak into the normal region. We estimate, that for typical hybrid structures this dynamical process would take about 20 nanoseconds. We propose a feasible empirical protocol for its detection by means of the time-resolved Andreev tunneling spectroscopy.