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Quantum Quenches in Chern Insulators.

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Caio, MD 
Cooper, NR 
Bhaseen, MJ 


We explore the nonequilibrium response of Chern insulators. Focusing on the Haldane model, we study the dynamics induced by quantum quenches between topological and nontopological phases. A notable feature is that the Chern number, calculated for an infinite system, is unchanged under the dynamics following such a quench. However, in finite geometries, the initial and final Hamiltonians are distinguished by the presence or absence of edge modes. We study the edge excitations and describe their impact on the experimentally observable edge currents and magnetization. We show that, following a quantum quench, the edge currents relax towards new equilibrium values, and that there is light-cone spreading of the currents into the interior of the sample.



cond-mat.str-el, cond-mat.str-el, cond-mat.quant-gas

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Phys Rev Lett

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American Physical Society (APS)
Engineering and Physical Sciences Research Council (EP/K030094/1)
Engineering and Physical Sciences Research Council (EP/J017639/1)
This work was supported by EPSRC Grants EP/J017639/1 and EP/K030094/1. MJB thanks the EPSRC Centre for Cross-Disciplinary Approaches to Non-Equilibrium Systems (CANES) funded under grant EP/L015854/1. MJB and MDC thank the Thomas Young Center.