Holographic thermalization with a chemical potential from Born-Infeld electrodynamics

Camilo, Giancarlo; Cuadros-Melgar, Bertha; Abdalla, Élcio

doi:10.1007/jhep02(2015)103

Cited by 23 publications

(34 citation statements)

References 108 publications

(208 reference statements)

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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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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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“…To probe these fascinating phenomena in field theory, one should employ some non-local observables such as equal time two point correlation function for a scalar operator, Wilson loop, and holographic entanglement entropy, which are dual to the geodesic length, minimal area, and minimal volume individually in the saddle point approximation. It has been shown that these observables can probe the nonequilibrium thermalization behavior [4][5][6][7][8][9][10][11][12][13][14][15], superconducting phase transition [16][17][18][19][20][21][22][23], and cosmological singularity [24,25].…”

Section: Introductionmentioning

confidence: 99%

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

Zeng

Liu

2016

Eur. Phys. J. C

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With the non-local observables such as two point correlation function and holographic entanglement entropy, we probe the phase structure of the Born-Infeld-anti-de Sitter black holes. For the case bQ > 0.5, where b is the BornInfeld parameter and Q is the charge of the black hole, the phase structure is found to be similar to that of the Van der Waals phase transition, namely the black hole undergoes a first order phase transition and a second order phase transition before it reaches a stable phase. While for the case bQ < 0.5, a new phase branch emerges besides the Van der Waals phase transition. For the first order phase transition, the equal area law is checked, and for the second order phase transition, the critical exponent of the heat capacity is obtained. All these results are found to be the same as that observed in the entropy-temperature plane.

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“…This phenomena is the same behavior as in the case of other charged black holes. For those solutions also, one could see that charge always slows down the thermalization process, for instance the case in four dimensional background which has been addressed in [52].…”

Section: B Hee and Hc In The Neutral Massive Btz Black Holementioning

confidence: 93%

Evolutions of entanglement and complexity after a thermal quench in massive gravity theory

et al. 2019

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We study the evolution of the holographic entanglement entropy (HEE) and the holographic complexity (HC) after a thermal quench in 1 + 1 dimensional boundary CFTs dual to massive BTZ black holes. The study indicates how the graviton mass m g , the charge q, and also the size of the boundary region l determine the evolution of the HEE and HC. We find that for small q and l, the evolutions of the HEE and the HC is a continuous function. When q or l is tuned larger, the discontinuity emerges, which could not observed in the neutral AdS 3 backgrounds. We show that, the emergence of this discontinuity is a universal behavior in the charged massive BTZ theory. With the increase of graviton mass, on the other hand, no emergence of the discontinuity behavior for any small q and l could be observed. We also show that the evolution of the HEE and HC both become stable at later times, and m g speeds up reaching to the stability during the evolution of the system. Moreover, we show that m g decreases the final stable value of HEE but raises the stable value of HC. Additionally, contrary to the usual picture in the literature that the evolution of HC has only one peak, for big enough widths, we show that graviton mass could introduce two peaks during the evolution. However, for large enough charges the one peak behavior will be recovered again. We also examine the evolutions of HEE and HC growths at the early stage, which an almost linear behavior has been detected. * Electronic address: constaantine@163.com

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Holographic thermalization with a chemical potential from Born-Infeld electrodynamics

Cited by 23 publications

References 108 publications

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

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

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

Evolutions of entanglement and complexity after a thermal quench in massive gravity theory

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