Inverse anisotropic catalysis and complexity

Abstract

In this work the effect of anisotropy on computational complexity is considered by CA proposal in holographic two-sided black brane dual of a strongly coupled gauge theory. It is shown that due to confinement-deconfinement phase transition there are two different behaviors: by increase in anisotropy there would be an increase in complexity growth rate in small anisotropy and a decreases in the complexity growth rate in large anisotropy. In the extreme case the very large anisotropy leads to the unity of the complexity growth rate and complexity itself, it means that in this case getting the target state from the reference state is reachable by no effort. Moreover, we suggest that $\frac{1}{M}\frac{dC}{dt}$ is a better representation of system degrees of freedom rather than the complexity growth rate $\frac{dC}{dt}$ and show that how it is related to inverse anisotropic catalysis. In addition, we consider the one-sided black brane dual to the quantum quench and showed that increase in anisotropy comes with decrease in complexity regardless of the anisotropy value which is due to the fact that the system do not experience a phase transition.

20 pages, 9 figures, reference added

References in corpus (40)

• Ultimate physical limits to computation
• Complexity Equals Action
• Circuit complexity in quantum field theory
• Gravitational action with null boundaries
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Dissipative Dynamics of Highly Anisotropic Systems
• Metallic AdS/CFT
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• On the Time Dependence of Holographic Complexity
• Universal Charge Diffusion and the Butterfly Effect
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• Magnetic Brane Solutions in AdS
• A Boundary Term for the Gravitational Action with Null Boundaries
• Does Complexity Equal Anything?
• Strongly-coupled anisotropic gauge theories and holography
• Quantum Complexity of Time Evolution with Chaotic Hamiltonians
• Quarks in an External Electric Field in Finite Temperature Large N Gauge Theory
• Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
• Magnetic and electric AdS solutions in string- and M-theory
• Holographic Complexity and Volume
• Inverse Anisotropic Catalysis in Holographic QCD
• Divergences in the rate of complexification
• Complexity and Behind the Horizon Cut Off
• On complexity growth in massive gravity theories, the effects of chirality and more
• A Holographic Quantum Critical Point at Finite Magnetic Field and Finite Density
• On the interplay between magnetic field and anisotropy in holographic QCD
• Holographic chiral magnetic spiral
• Complexity growth rate during phase transitions
• Complexity and phase transitions in a holographic QCD model
• QGP time formation in holographic shock waves model of heavy ion collisions
• On Complexity of Jackiw-Teitelboim Gravity
• Magnetic catalysis and inverse magnetic catalysis in (2+1)-dimensional gauge theories from holographic models
• Holographic Study of Reflected Entropy in Anisotropic Theories
• Anisotropic plasmas from axion and dilaton deformations
• Holography for anisotropic branes with hyperscaling violation
• Chiral phase transitions and quantum critical points of the D3/D7(D5) system with mutually perpendicular E and B fields at finite temperature and density
• The Effect of Anisotropy on Holographic Entanglement Entropy and Mutual Information
• Complexity and Multi-boundary Wormholes
• Complexity, scaling, and a phase transition
• Holographic approach to thermalization in general anisotropic theories