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Post-quench evolution of complexity and entanglement in a topological system

Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque and 2 more

Physics Letters B · 2020

doi:10.1016/j.physletb.2020.135919 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY

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