Dynamically probing strongly-coupled field theories with critical point

Abstract

The dependence of the rescaled equilibration time on different parameters of the field theories with a holographic dual has been investigated in this paper. We consider field theories with nonzero chemical potential at finite temperature which are dual to asymptotically AdS charged black holes. We examine a dynamical probe scalar operator where its dynamics is due to a time-dependent source, quantum quench, or out-of-equilibrium initial condition in field theory with fixed or varying temperature and chemical potential. We observe that the behavior of the scalar operator equilibration time with respect to temperature or chemical potential can not be predicted merely by field theory parameters and depends on how fast the energy is injected into the system. It is shown that in field theories with critical point the rescaled equilibration time is shorter for thermodynamically stable systems. We also observe that the rescaled equilibration time as one approaches the critical point enhances and acquires an infinite slope though its value remains finite. We show that for fast quenches, even though the system is far from equilibrium, the dynamical critical exponent is the same as the one reported for quasi-normal modes in the same background. However for slow quenches the dynamical critical exponent picks up a different value.

10 pages, 6 figures, v2: added figures, some modifications, published version

References in corpus (8)

• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• A holographic critical point
• A holographic view on physics out of equilibrium
• Nonlocal probes of thermalization in holographic quenches with spectral methods
• Instantaneous Thermalization in Holographic Plasmas
• Holographic Thermalization in Charged Dilaton Anti-de Sitter Spacetime
• Homogeneous isotropization and equilibration of a strongly coupled plasma with a critical point
• D7-brane dynamics and thermalization in the Kuperstein-Sonnenschein model

Cited by in corpus (9)

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• Evolution of Holographic Complexity Near Critical Point
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• Entanglement and chaos near critical point in strongly coupled gauge theory
• Temperature Dependence of Entanglement of Purification in Presence of Chemical Potential
• Critical behaviour of hydrodynamic series
• Complexity and uncomplexity during energy injection
• Meson Excitation Time as a Probe of Holographic Critical Point
• Meson Excitation at Finite Chemical Potential