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On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
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We study the holographic "complexity=action'" (CA) and "complexity=volume" (CV) proposals in Einstein-dilaton gravity in all spacetime dimensions. We analytically construct an infinite family of black hole solutions and use CA and CV proposals to investigate the time evolution of the complexity. Using the CA proposal, we find dimensional dependent violation of the Lloyd bound in early as well as in late times. Moreover, depending on the parameters of the theory, the bound violation relative to the conformal field theory result can be tailored in the early times as well. In contrast to the CA proposal, the CV proposal in our model yields results similar to those obtained in the literature.
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Cited by 3 Pith papers
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Time dependence of complexity for Lovelock black holes
For Lovelock black holes, the Complexity=Action growth rate at late times is a coupling-independent multiple of the mass, and the Schwarzschild limit is recovered only up to a constant under the authors' boundary-term...
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In a holographic QCD model, chaotic string dynamics appear only for unstable configurations near the horizon, and magnetic field and chemical potential affect chaos oppositely in string and Einstein frames.
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Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential
Using three independent holographic methods, the authors obtain matching butterfly velocities for four QCD-like models and find a universal increase with temperature and decrease with chemical potential.
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