Dynamical topological invariant after a quantum quench Article Swipe

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Chao Yang , Linhu Li , Shu Chen ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.1103/physrevb.97.060304 · OA: W2763461985

We show how to define a dynamical topological invariant for general\none-dimensional topological systems after a quantum quench. Focusing on\ntwo-band topological insulators, we demonstrate that the reduced momentum-time\nmanifold can be viewed as a series of submanifold $S^2$, and thus we are able\nto define a dynamical topological invariant on each of the sphere. We also\nunveil the intrinsic relation between the dynamical topological invariant and\nthe difference of topological invariant of the initial and final static\nHamiltonian. By considering some concrete examples, we illustrate the\ncalculation of the dynamical topological invariant and its geometrical meaning\nexplicitly.\n