Quench dynamics of edge states in 2-D topological insulator ribbons |
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Authors: | Aavishkar A. Patel Shraddha Sharma Amit Dutta |
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Affiliation: | 1. Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India
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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 Lochschmidt 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. |
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