We study the generation and propagation of local perturbations in a quantum many-body spin system. Inparticular, 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 twoMajorana zero modes. We show that their localized character (i) enables a characterization of the Ising phasetransition through a local-only measurement performed on the edge spin, and (ii) strongly affects the propagationof quasiparticles emitted after the sudden removal of the defect, so that the dynamics of the local magnetizationshow clear deviations from a ballistic behavior in the presence of the Majorana fermions.

Local Quench, Majorana Zero Modes, and Disturbance Propagation in the Ising chain

PLASTINA, Francesco
2016

Abstract

We study the generation and propagation of local perturbations in a quantum many-body spin system. Inparticular, 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 twoMajorana zero modes. We show that their localized character (i) enables a characterization of the Ising phasetransition through a local-only measurement performed on the edge spin, and (ii) strongly affects the propagationof quasiparticles emitted after the sudden removal of the defect, so that the dynamics of the local magnetizationshow clear deviations from a ballistic behavior in the presence of the Majorana fermions.
Spin system; quantum quench; Majorana fermions
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/135598
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