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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References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Electrically detected interferometry of Majorana fermions in a topological insulator
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• "Light-cone" dynamics after quantum quenches in spin chains
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Quench dynamics and parity blocking in Majorana wires
• Universal energy distribution of quasi-particles emitted in a local time dependent quench
• Pulse and quench induced dynamical phase transition in a chiral multiferroic spin chain
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Cited by in corpus (12)

• Analytical solution of open crystalline linear 1D tight-binding models
• 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
• Zeno physics of the Ising chain with symmetry-breaking boundary dephasing
• Counting edge modes via dynamics of boundary spin impurities
• Impurity-driven transitions in frustrated quantum Ising ring
• Interacting electrons in a flat-band system within the Generalized Kadanoff-Baym Ansatz
• Emergence of $X$ states in a quantum impurity model
• 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