End-to-end correlations in the Kitaev chain

Abstract

The interdependence between long range correlations and topological signatures in fermionic arrays is examined. End-to-end correlations, in particular classical correlations, maintain a characteristic pattern in the presence of delocalized excitations and this behavior can be used as an operational criterion to identify Majorana fermions in one-dimensional systems. The study discusses how to obtain the chain eigenstates in tensor-state representation together with the proposed assessment of correlations. Outstandingly, the final result can be written as a simple analytical expression that underlines the link with the system's topological phases.

10 pages, 3 figures. Comments or suggestions are very welcome

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Cited by in corpus (7)

• Rényi Entropy Singularities as Signatures of Topological Criticality in Coupled Photon-Fermion Systems
• Rigorous results on topological superconductivity with particle number conservation
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Majorana correlations in quantum impurities coupled to a topological wire
• From edge to bulk: Cavity induced displacement of topological non-local qubits
• Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
• Entanglement at the interplay between single- and many-bodyness