Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field

Fuini, John F.; Yaffe, Laurence G.

doi:10.1007/jhep07(2015)116

Cited by 73 publications

(158 citation statements)

References 89 publications

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“…Based on a quasinormal mode analysis of top-down non-conformal (but gapless) models, it was conjectured in [18] that, as soon as a horizon is formed in the bulk, deviations from conformality do not significantly affect thermalization times. Similarly, the numerical analysis in [19] found that the equilibration dynamics of N = 4 SYM theory does not change much when chemical potentials or magnetic fields are added. In [20], quasinormal modes were computed for bottom-up models mimicking the equation of state of QCD, and a non-trivial dependence on the equation of state was found.…”

Section: Jhep12(2015)116mentioning

confidence: 85%

Holographic thermalization in a top-down confining model

Craps¹,

Lindgren²,

Taliotis³

2015

J. High Energ. Phys.

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It is interesting to ask how a confinement scale affects the thermalization of strongly coupled gauge theories with gravity duals. We study this question for the AdS soliton model, which underlies top-down holographic models for Yang-Mills theory and QCD. Injecting energy via a homogeneous massless scalar source that is briefly turned on, our fully backreacted numerical analysis finds two regimes. Either a black brane forms, possibly after one or more bounces, after which the pressure components relax according to the lowest quasinormal mode. Or the scalar shell keeps scattering, in which case the pressure components oscillate and undergo modulation on time scales independent of the (small) shell amplitude. We show analytically that the scattering shell cannot relax to a homogeneous equilibrium state, and explain the modulation as due to a near-resonance between a normal mode frequency of the metric and the frequency with which the scalar shell oscillates.

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Section: Jhep12(2015)116mentioning

confidence: 85%

Holographic thermalization in a top-down confining model

Craps¹,

Lindgren²,

Taliotis³

2015

J. High Energ. Phys.

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“…Before the quench, the spacetime geometry obeys the vacuum Maxwell-Einstein equations and is described by the RNAdS 4 black hole of mass M and charge Q 8) and the time-component of the gauge field is…”

Section: Jhep06(2017)044mentioning

confidence: 99%

Comments on entanglement propagation

Rozali

Vincart-Emard

2017

J. High Energ. Phys.

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We extend our work on entanglement propagation following a local quench in 2+1 dimensional holographic conformal field theories. We find that entanglement propagates along an emergent lightcone, whose speed of propagation v E seems distinct from other measures of quantum information spreading. We compare the relations we find to information and hydrodynamic velocities in strongly coupled 2+1 dimensional theories. While early-time entanglement velocities corresponding to small entangling regions are numerically close to the butterfly velocity, late-time entanglement velocities for large regions show less regularity. We also generalize and extend our previous results regarding the late-time decay of the entanglement entropy back to its equilibrium value.

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“…In accordance with the earlier results for z ¼ 1, e.g., Refs. [13,14], we find that the system equilibrates quite rapidly, with isotropization times of the order ∼1=T. At later times, close to global thermal equilibrium, the evolution of the system is characterized by the quasinormal modes (QNMs) of the black brane [15].…”

mentioning

confidence: 93%

Holographic Equilibration of Nonrelativistic Plasmas

et al. 2016

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We study far-from-equilibrium physics of strongly interacting plasmas at criticality and zero charge density for a wide range of dynamical scaling exponents z in d dimensions using holographic methods. In particular, we consider homogeneous isotropization of asymptotically Lifshitz black branes with full backreaction. We find stable evolution and equilibration times that exhibit small dependence of z and are of the order of the inverse temperature. Performing a quasinormal mode analysis, we find a corresponding narrow range of relaxation times, fully characterized by the fraction z=ðd − 1Þ. For z ≥ d − 1, equilibration is overdamped, whereas for z < d − 1, we find oscillatory behavior. Finally, and most interestingly, we observe that also the nonlinear evolution, although differing significantly from a quasinormal mode fit, is to a high degree of precision characterized by the fraction z=ðd − 1Þ. Introduction.-Quantum criticality has been a focus of interest both in theoretical and experimental physics over the past few decades. It is believed to be a key ingredient in the solution to the various yet unsolved problems such as the high T c superconductivity [1]. In particular, the dynamics of a system near a continuous quantum phase transition is governed by a universal, scale invariant theory characterized by the dimensionality d, the dynamical scaling exponent z, and the various other critical exponents that are independent of the microscopic Hamiltonian of the system. In these systems, the characteristic energy scale Δ, such as the gap separating the first excited state from the ground state, vanishes as the correlation length ξ diverges as Δ ∼ ξ −z . For instance, z ¼ 1 occurs at the touching points of the band structure of monolayer graphene, z ¼ 2 can describe the case of bilayer graphene, and z ¼ 2, 3 occur in heavy fermion systems; see, e.g., Refs. [2][3][4][5][6].The existence of a quantum critical point at vanishing temperature determines the behavior of observables also at finite temperature, and even beyond the thermal equilibrium, in the so-called quantum critical region of the parameter space. In fact, a basic way to characterize this quantum critical region is to consider the response of the system to a small disturbance, determined by the equilibration time τ eq [7]. The quantum critical region corresponds to short relaxation times τ eq ∼ 1=T [8], whereas local equilibrium is reached much more slowly as τ eq ≫ 1=T outside the quantum critical region [1].In this Letter, we want to go one step further and ask the question, what happens when such a quantum critical system is taken completely out of equilibrium, when the perturbation is not small, but of the same order as the Hamiltonian? We answer this question partially in the particular situation when the collective excitations of the system are characterized by global, hydrodynamic

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Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field

Cited by 73 publications

References 89 publications

Holographic thermalization in a top-down confining model

Holographic thermalization in a top-down confining model

Comments on entanglement propagation

Holographic Equilibration of Nonrelativistic Plasmas

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