Possibility of direct observation of edge Majorana modes in quantum chains

Abstract

Several scenarios for realization of edge Majorana modes in quantum chain systems: spin chains, chains of Josephson junctions, and chains of coupled cavities in quantum optics, are considered. For all these systems excitations can be presented as superpositions of a spinless fermion and a hole, characteristic for Majorana fermion. We discuss the features of our exact solution with respect to possible experiments, in which edge Majorana fermions can be directly observed when studying magnetic, superconducting, and optical characteristics of such systems.

8 pages (including supplemental information), 7 figures

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• Decoherence and relaxation of topological states in extended quantum Ising models
• Signatures of topological quantum phase transitions in driven and dissipative qubit-arrays
• Two Channel Kondo behavior in the quantum XX chain with a boundary defect