Evolution of Holographic Complexity Near Critical Point

Abstract

The holographic complexity has been studied in a background which includes a critical point in the dual field theory. We have examined how the complexity rate and the saturation time of dynamical variables in the theory behave as one moves towards the critical point. Two significant results of our analysis are that (i) it takes more time for the complexity in field theory dual to become time dependent as one moves away from the critical point and (ii) near the critical point the complexity starts evolving linearly in time sooner than the other points away from it. We also observe different behaviour for complexity rate in action and volume prescriptions. In action prescription we have used the time scales in theory to obtain the dynamical critical exponent and interestingly have observed that different time scales produce the same value up to very small error.

16 pages, 8 figures, revised version includes volume prescription for complexity

References in corpus (18)

• Complexity and Shock Wave Geometries
• Gravitational action with null boundaries
• Mimicking the QCD equation of state with a dual black hole
• On the Time Dependence of Holographic Complexity
• A holographic critical point
• Subsystem Complexity and Holography
• Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
• Topological Complexity in AdS3/CFT2
• Subregion Action and Complexity
• Time Dependence of Holographic Complexity in Gauss-Bonnet Gravity
• On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
• Critical behavior of non-hydrodynamic quasinormal modes in a strongly coupled plasma
• Holographic complexity of anisotropic black branes
• On Some Universal Features of the Holographic Quantum Complexity of Bulk Singularities
• Complexity and phase transitions in a holographic QCD model
• Complexity growth and shock wave geometry in AdS-Maxwell-power-Yang-Mills theory
• Complexity Growth in Flat Spacetimes
• Dynamically probing strongly-coupled field theories with critical point

Cited by in corpus (15)

• Holographic Mutual Information and Critical Exponents of the Strongly Coupled Plasma
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Holographic Entanglement of Purification near a Critical Point
• Temperature Dependence of Entanglement of Purification in Presence of Chemical Potential
• Entanglement and chaos near critical point in strongly coupled gauge theory
• Critical behaviour of hydrodynamic series
• On Volume Subregion Complexity in Non-Conformal Theories
• A note on holographic subregion complexity and QCD phase transition
• Complexity and uncomplexity during energy injection
• Holographic entropy production in a Bjorken expanding hot and dense strongly coupled quantum fluid
• Meson Excitation Time as a Probe of Holographic Critical Point
• New purely damped pairs of quasinormal modes in a hot and dense strongly-coupled plasma
• Stairway to equilibrium entropy
• Mutual information and holographic entanglement entropy for strongly-coupled R-charged plasmas
• Homogeneous isotropization dynamics and entropy production in a hot and dense strongly interacting fluid