Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices

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.

5 pages, 5 figures, 2 movies

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• Majorana nanowires for topological quantum computation
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• Influence of long-range interaction on Majorana zero modes
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Probing the chirality of 1D Majorana edge states around a 2D nanoflake in a superconductor
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method