Quench Dynamics of Edge States in 2-D Topological Insulator Ribbons

Abstract

We study the dynamics of edge states of the two dimensional BHZ Hamiltonian in a ribbon geometry following a sudden quench to the quantum critical point separating the topological insulator phase from the trivial insulator phase. The effective edge state Hamiltonian is a collection of decoupled qubit-like two-level systems which get coupled to bulk states following the quench. We notice a pronounced collapse and revival of the Loschmidt echo for low-energy edge states illustrating the oscillation of the state between the two edges. We also observe a similar collapse and revival in the spin Hall current carried by these edge states, leading to a persistence of its time-averaged value.

5 Pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1301.1930

References in corpus (15)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Photonic Floquet Topological Insulators
• Thermalization and its mechanism for generic isolated quantum systems
• Topological characterization of periodically-driven quantum systems
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• The Quantum Spin Hall Effect: Theory and Experiment
• Universal adiabatic dynamics across a quantum critical point
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Topology induced anomalous defect production by crossing a quantum critical point
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Topological Insulators and Metals in Atomic Optical Lattices
• Supercurrent survival under Rosen-Zener quench of hard core bosons
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation

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