Local quench, Majorana zero modes, and disturbance propagation in the Ising chain

G. Francica, T. J. G. Apollaro, N. Lo Gullo, and F. Plastina
Phys. Rev. B 94, 245103 – Published 1 December 2016

Abstract

We study the generation and propagation of local perturbations in a quantum many-body spin system. In particular, we study the Ising model in transverse field in the presence of a local field defect at one edge. This system possesses a rich phase diagram with different regions characterized by the presence of one or two Majorana zero modes. We show that their localized character (i) enables a characterization of the Ising phase transition through a local-only measurement performed on the edge spin, and (ii) strongly affects the propagation of quasiparticles emitted after the sudden removal of the defect, so that the dynamics of the local magnetization show clear deviations from a ballistic behavior in the presence of the Majorana fermions.

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  • Received 25 July 2016
  • Revised 12 November 2016

DOI:https://doi.org/10.1103/PhysRevB.94.245103

©2016 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

G. Francica1,2, T. J. G. Apollaro3, N. Lo Gullo4, and F. Plastina1,2

  • 1Dipartimento di Fisica, Università della Calabria, 87036 Arcavacata di Rende (CS), Italy
  • 2INFN–Gruppo Collegato di Cosenza, Cosenza, Italy
  • 3NEST, Istituto Nanoscienze-CNR and Dipartimento di Fisica e Chimica, Università degli Studi di Palermo, via Archirafi 36, I-90123 Palermo, Italy
  • 4Dipartimento di Fisica, Università degli Studi di Milano, via Celoria 16, 20133, Milano, Italy

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Issue

Vol. 94, Iss. 24 — 15 December 2016

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