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Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos

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arxiv 2011.04705 v2 pith:HEJQJ73T submitted 2020-11-09 hep-th nlin.CDquant-ph

Arpan Bhattacharyya , S. Shajidul Haque , Eugene H. Kim This is my paper · ORCID
classification hep-thnlin.CDquant-ph
keywords complexitychaosquantumdiagnosticdensitymatrixoscillatorsreduced
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We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity based on the reduced density matrix by exploring different types of quantum circuits. Through explicit calculations on a toy model of two coupled harmonic oscillators, where one or both of the oscillators are inverted, we demonstrate that the evolution of complexity is a possible diagnostic of chaos.

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  1. Probing the self-coherence of primordial quantum fluctuations with complexity

    hep-th 2025-02 conditional novelty 5.0 of 10

    Complexity of formation, unlike complexity of purification, shows distinct and timescale-matching signatures of both decoherence and recoherence in a Gaussian two-field de Sitter model.

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