Oscillating edge states in polariton topological insulators
arxiv(2023)
摘要
We show that slow time-periodic variation of the external magnetic field
applied to polariton topological insulator based on honeycomb array of
microcavity pillars with pronounced TE-TM splitting results in oscillations of
the edge states along the boundary of the insulator that are accompanied by
slow transverse drift of the center of mass of the edge state along the
boundary. The oscillations and drift are due to time-periodic variation of the
sign of the instantaneous group velocity of the edge state with selected
central Bloch momentum triggered by the variation of the Zeeman splitting in
the external magnetic field. These oscillations are also accompanied by
periodic exchange of norm between two polarization components of the edge
state. Oscillating edge states survive despite the fact that magnetic field
periodically vanishes resulting in closure of the topological gap in the
instantaneous spectrum of the system. The direction of the drift and amplitude
of oscillations of the edge state strongly and nonmonotonically depend on its
initial central Bloch momentum.
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