Creating Long-range Majorana pairs: from Kitaev to XY spin chains

We proposed a symmetry-based approach of creating Majorana pairs between left-right symmetric sites in a spin-1/2 Kitaev chain by applying pairing pulse sequence on the central unit cell of the system. We generalized this approach to XY chain and built the connection between Majorana pairs in the fermion representation and Bell pairs in the spin representation. Application of creating Majorana pairs on recently proposed twisted Kitaev cobaltate chain will be also discussed.