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• W2912883143 abstract "We construct a time-dependent expression of the computational complexity of a quantum system which consists of two conformal complex scalar field theories in d dimensions coupled to constant electric potentials and defined on the boundaries of a charged AdS black hole in (d+1) dimensions. Using a suitable choice of the reference state, Hamiltonian gates and the metric on the manifold of unitaries, we find that the complexity grows linearly for a relatively large interval of time. We also remark that for scalar fields with very small charges the rate of variation of the complexity cannot exceed a maximum value known as the Lloyd bound." @default.
• W2912883143 created "2019-02-21" @default.
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• W2912883143 date "2019-05-24" @default.
• W2912883143 modified "2023-09-25" @default.
• W2912883143 title "Holographic complexity and charged scalar fields" @default.
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• W2912883143 doi "https://doi.org/10.1103/physrevd.99.106013" @default.
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