Holographic non-equilibrium heating

Ageev, Dmitry S.; Aref’eva, I. Ya.

doi:10.1007/jhep03(2018)103

Cited by 22 publications

(19 citation statements)

References 89 publications

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“…curves along which the initial condition is transported, always end rather than begin on the shock wave. 27 The name 'entropic condition' comes from the fact that if characteristics end at some point, the information about the initial state is lost and hence the entropy is produced. If the characteristics started at the discontinuity, the system would require fixing an initial condition on the shockwave, such that information would be produced and entropy would decrease.…”

Section: Jhep10(2017)034mentioning

confidence: 99%

“…However, obtaining a clear, numerical shock-rarefaction solution 26 In full generality, the Riemann problem is a initial value problem for a non-linear PDE with noncontinuous, piecewise-constant initial data. 27 In the characteristic formulation of a PDE, the presence of a shockwave is manifested by the intersection of characteristics. On a characteristic line, one direction is distinguished by the fact that the initial condition is evolved forward in time.…”

Section: Jhep10(2017)034mentioning

confidence: 99%

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Time evolution of entanglement for holographic steady state formation

Erdmenger

Fernández

Flory

et al. 2017

J. High Energ. Phys.

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Within gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time t = 0. A steady state forms and expands in space. For the 2+1-dimensional gravity dual, we find that the "shockwaves" expanding the steady-state region are of spacelike nature in the bulk despite being null at the boundary. However, they do not transport information. Moreover, by adapting the time-dependent Hubeny-Rangamani-Takayanagi prescription, we holographically calculate the entanglement entropy and also the mutual information for different entangling regions. For general temperatures, we find that the entanglement entropy increase rate satisfies the same bound as in the 'entanglement tsunami' setups. For small temperatures of the two baths, we derive an analytical formula for the time dependence of the entanglement entropy. This replaces the entanglement tsunami-like behaviour seen for high temperatures. Finally, we check that strong subadditivity holds in this time-dependent system, as well as further more general entanglement inequalities for five or more regions recently derived for the static case.

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Section: Jhep10(2017)034mentioning

confidence: 99%

Section: Jhep10(2017)034mentioning

confidence: 99%

Time evolution of entanglement for holographic steady state formation

Erdmenger

Fernández

Flory

et al. 2017

J. High Energ. Phys.

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“…It is from this point on that the Vaiyda spacetime makes a full-fledged appearance as a community work horse of holographic thermalization. A significant portion of these previous works has been dedicated to understanding the thermalization of various quantum quenches, some examples are [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. These examples cover a wide range of AdS Vaidya setups from the addition of charge (Reissner-Nordstrom) to modified gravity theories such as Gauss-Bonnet gravity.…”

Section: Introductionmentioning

confidence: 99%

Correlations far from equilibrium in charged strongly coupled fluids subjected to a strong magnetic field

Cartwright

Kaminski

2019

J. High Energ. Phys.

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Within a holographic model, we calculate the time evolution of 2-point and 1point correlation functions (of selected operators) within a charged strongly coupled system of many particles. That system is thermalizing from an anisotropic initial charged state far from equilibrium towards equilibrium while subjected to a constant external magnetic field. One main result is that thermalization times for 2-point functions are significantly (approximately three times) larger than those of 1-point functions. Magnetic field and charge amplify this difference, generally increasing thermalization times. However, there is also a competition of scales between charge density, magnetic field, and initial anisotropy, which leads to an array of qualitative changes on the 2-and 1-point functions. There appears to be a strong effect of the medium on 2-point functions at early times, but approximately none at later times. At strong magnetic fields, an apparently universal thermalization time emerges, at which all 2-point functions appear to thermalize regardless of any other scale in the system. Hence, this time scale is referred to as saturation time scale. As extremality is approached in the purely charged case, 2-and 1-point functions appear to equilibrate at infinitely late time. We also compute 2-point functions of charged operators. Our results can be taken to model thermalization in heavy ion collisions, or thermalization in selected condensed matter systems.

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“…In this geometry there is a shock wave in the black hole background which follows a global quench of thermal state and despite the AdS-Vaidya background, the initial state is already thermal (see Ref. [24] for more details). In section 3, we will investigate the Lloyd's bound in time dependent geometry after many shocks.…”

Section: Introductionmentioning

confidence: 99%

Complexity growth following multiple shocks

2019

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In this paper by making use of the "Complexity=Action" proposal, we study the complexity growth after shock waves in holographic field theories. We consider both double black hole-Vaidya and AdS-Vaidya with multiple shocks geometries. We find that the Lloyd's bound is respected during the thermalization process in each of these geometries and at the late time, the complexity growth saturates to the value which is proportional to the energy of the final state. We conclude that the saturation value of complexity growth rate is independent of the initial temperature and in the case of thermal initial state, the rate of complexity is always less than the value for the vacuum initial state such that considering multiple shocks it gets smaller. Our results indicate that by increasing the temperature of the initial state, the corresponding rate of complexity growth starts far from final saturation rate value. * mtanhayi@ipm.ir † s.vazirian@srbiau.ac.ir

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Holographic non-equilibrium heating

Cited by 22 publications

References 89 publications

Time evolution of entanglement for holographic steady state formation

Time evolution of entanglement for holographic steady state formation

Correlations far from equilibrium in charged strongly coupled fluids subjected to a strong magnetic field

Complexity growth following multiple shocks

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