Nonlocality and dynamic response of Majorana states in fermionic superfluids

TL;DR

This paper presents a microscopic model for the nonlocal ac response of Majorana states in fermionic superfluids, revealing finite period wavefunction beating and proposing experimental tests to measure quasiparticle transport times.

Contribution

It introduces a detailed microscopic model that goes beyond tunneling approximation to describe nonlocal ac responses of Majorana states in superfluids.

Findings

Finite period wavefunction beating between Majorana states

Proposal for experimental measurement of quasiparticle transport times

Characterization of nonlocality in Majorana particles

Abstract

We suggest a microscopic model describing the nonlocal ac response of a pair of Majorana states in fermionic superfluids beyond the tunneling approximation. The time-dependent perturbations of quasiparticle transport are shown to excite finite period beating of the wavefunction between the distant Majorana states. We propose an experimental test to measure the characteristic time scales of quasiparticle transport through the pair of Majorana states defining, thus, quantitative characteristics of nonlocality known to be a generic feature of Majorana particles.