期刊
PHYSICAL REVIEW B
卷 97, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.97.060304
关键词
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资金
- NSFC [11425419]
- National Key Research and Development Program of China [2016YFA0300600, 2016YFA0302104]
- Strategic Priority Research Program (B) of the Chinese Academy of Sciences [XDB07020000]
We show how to define a dynamical topological invariant for one-dimensional two-band topological systems after a quantum quench. By analyzing general two-band models of topological insulators, we demonstrate that the reduced momentum-time manifold can be viewed as a series of submanifolds S-2, and thus we are able to define a dynamical topological invariant on each of the spheres. We also unveil the intrinsic relation between the dynamical topological invariant and the difference in the topological invariant of the initial and final static Hamiltonian. By considering some concrete examples, we illustrate the calculation of the dynamical topological invariant and its geometrical meaning explicitly.
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