Journal
EUROPEAN PHYSICAL JOURNAL B
Volume 86, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1140/epjb/e2013-40657-2
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Funding
- KVPY
- CSIR, New Delhi
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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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