Anderson localisation in spin chains for perfect state transfer

Abstract

Abstract: Anderson localisation is an important phenomenon arising in many areas of physics, andhere we explore it in the context of quantum information devices. Finite dimensional spinchains have been demonstrated to be important devices for quantum information transport,and in particular can be engineered to allow for “perfect state transfer” (PST). Here wepresent extensive investigations of disordered PST spin chains, demonstrating spatiallocalisation and transport retardation effects, and relate these effects to conventionalAnderson localisation. We provide thresholds for Anderson localisation in these finitequantum information systems for both the spatial and the transport domains. Finally, weconsider the effect of disorder on the eigenstates and energy spectrum of our Hamiltonian,where results support our conclusions on the presence of Anderson localisation. Graphical abstract: [Figure not available: see fulltext.]