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Post-Quench Evolution of Complexity and Entanglement in a Topological System

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arxiv 1811.05985 v2 pith:KUUNPM7V submitted 2018-11-14 hep-th cond-mat.stat-mechcond-mat.str-elquant-ph

classification hep-thcond-mat.stat-mechcond-mat.str-elquant-ph
keywords complexityentanglementsystemtopologicaldemonstrateevolutionadvantageargument
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We investigate the evolution of complexity and entanglement following a quench in a one-dimensional topological system, namely the Su-Schrieffer-Heeger model. We demonstrate that complexity can detect quantum phase transitions and shows signatures of revivals; this observation provides a practical advantage in information processing. We also show that the complexity saturates much faster than the entanglement entropy in this system, and we provide a physical argument for this. Finally, we demonstrate that complexity is a less sensitive probe of topological order, compared with measures of entanglement.

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