Edge mode dynamics of quenched topological wires

Abstract

The fermionic and Majorana edge mode dynamics of various topological systems is compared, after a sudden global quench of the Hamiltonian parameters takes place. Attention is focused on the regimes where the survival probability of an edge state has oscillations either due to critical or off-critical quenches. The nature of the wave functions and the overlaps between the eigenstates of different points in parameter space determine the various types of behaviors, and the distinction due to the Majorana nature of the excitations plays a lesser role. Performing a sequence of quenches it is shown that the edge states, including Majorana modes, may be switched off and on. Also, the generation of Majoranas due to quenching from a trivial phase is discussed.

17 pages, 21 figures

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• Topological Bands for Ultracold Atoms
• Loschmidt Echo Revivals: Critical and Noncritical
• Dynamical topological invariant after a quantum quench
• Quenched dynamics and spin-charge separation in an interacting topological lattice
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Edge and bulk localization of Floquet topological superconductors
• On the possibility of complete revivals after quantum quenches to a critical point
• Signatures of topology in quantum quench dynamics and their interrelation
• Quenching in Chern insulators with satellite Dirac points: The fate of edge states
• Loschmidt amplitude spectrum in dynamical quantum phase transitions
• Dynamics of hybrid junctions of Majorana wires
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
• Detecting topological phases via survival probabilities of edge Majorana fermions
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Boundary-induced dynamics in 1D topological systems and memory effects of edge modes
• Survival probability in a quenched Majorana chain with an impurity
• Universal Landau-Zener regimes in dynamical topological phase transitions
• Quench dynamics of edge states in a finite extended Su-Schrieffer-Heeger system
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Bipartite Fidelity and Loschmidt Echo of Bosonic Conformal Interface