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

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 {\it i}) enables a characterization of the Ising phase transition through a local-only measurement performed on the edge spin, and {\it 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 presence of the Majorana fermions.

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Cited by in corpus (15)

• Momentum-Resolved and Correlations Spectroscopy Using Quantum Probes
• Analytical solution of open crystalline linear 1D tight-binding models
• Exact zero modes in a quantum compass chain under inhomogeneous transverse fields
• Ising analogues of quantum spin chains with multispin interactions
• Electron correlation effects in superconducting nanowires in and out of equilibrium
• Universal scaling of a classical impurity in the quantum Ising chain
• Decoherence and relaxation of topological states in extended quantum Ising models
• Zeno physics of the Ising chain with symmetry-breaking boundary dephasing
• Counting edge modes via dynamics of boundary spin impurities
• Emergence of $X$ states in a quantum impurity model
• Impurity-driven transitions in frustrated quantum Ising ring
• Interacting electrons in a flat-band system within the Generalized Kadanoff-Baym Ansatz
• Bipartite Fidelity and Loschmidt Echo of Bosonic Conformal Interface
• Edge States Effects in Quantum Work Statistics
• Absence of thermalization after a local quench and strong violation of the eigenstate thermalization hypothesis