Regular Article - Theoretical Physics
Complexity growth in Gubser–Rocha models with momentum relaxation
Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran
2 Department of Physics, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran
3 Department of Physics, University of Guilan, P.O. Box 41335-1914, Rasht, Iran
4 School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
Accepted: 24 March 2022
Published online: 29 April 2022
The Einstein–Maxwell–Axion–Dilaton (EMAD) theories, based on the Gubser–Rocha (GR) model, are very interesting in holographic calculations of strongly correlated systems in condensed matter physics. Due to the presence of spatially dependent massless axionic scalar fields, the momentum is relaxed, and we have no translational invariance at finite charge density. It would be of interest to study some aspects of quantum information theory for such systems in the context of AdS/CFT where EMAD theory is a holographic dual theory. For instance, in this paper we investigate the complexity and its time dependence for charged AdS black holes of EMAD theories in diverse dimensions via the complexity equals action (CA) conjecture. We will show that the growth rate of the holographic complexity violates Lloyd’s bound at finite times. However, as shown at late times, it depends on the strength of the momentum relaxation and saturates the bound for these black holes.
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