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Holographic complexity of local quench at finite temperature

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arxiv 1902.03632 v2 pith:F6EGSWOJ submitted 2019-02-10 hep-th cond-mat.str-elquant-ph

Dmitry S. Ageev This is my paper · ORCID
classification hep-thcond-mat.str-elquant-ph
keywords complexityfinitegrowthlinearlocaltemperatureholographicquench
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This paper is devoted to the study of the evolution of holographic complexity after a local perturbation of the system at finite temperature. We calculate the complexity using both the complexity=action(CA) and the complexity=volume(CA) conjectures and find that the CV complexity of the total state shows the unbounded late time linear growth. The CA computation shows linear growth with fast saturation to a constant value. We estimate the CV and CA complexity linear growth coefficients and show, that finite temperature leads to violation of the Lloyd bound for CA complexity. Also it is shown that for composite system after the local quench the state with minimal entanglement may correspond to the maximal complexity.

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  1. On volume subregion complexity in Vaidya spacetime

    hep-th 2019-08 conditional novelty 6.0 of 10

    In the AdS3 Vaidya geometry, the extremal volume defining holographic subregion complexity is genuinely x-dependent during the quench, so the standard x-independent ansatz fails at intermediate times; early and late t...

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