# Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices

## TL;DR

This paper proposes a practical method to create and control Majorana quasiparticles in ultracold fermionic gases on 1D optical lattices by manipulating defect potentials, with implications for quantum computing and nanoscopic superconductors.

## Contribution

It introduces a novel approach to engineer Majorana quasiparticles in ultracold gases using defect potential control, modeled via the Bogoliubov-de Gennes method.

## Key findings

- Majorana excitations can be created or annihilated by adjusting defect potentials.
- The method is applicable to ultracold gases and nanoscopic 1D superconductors.
- Potential for quantum information applications.

## Abstract

We propose a feasible way of engineering Majorana-type quasiparticles in ultracold fermionic gases on a one-dimensional (1D) optical lattice. For this purpose, imbalanced ultracold atoms interacting by the spin-orbit coupling should be hybridized with a three-dimensional Bose-Einstein condensate (BEC) molecular cloud. By constraining the profile of an internal defect potential we show that the Majorana-type excitations can be created or annihilated. This process is modelled within the Bogoliubov-de Gennes approach. This study is relevant also to nanoscopic 1D superconductors where modification of the internal defect potential can be obtained by electrostatic means.