Holographic thermalization

By Vijay Balasubramanian, A. Bernamonti, J. Boer, N. Copland, Ben Craps, E. Keski-Vakkuri, B. Muller, A. Schafer, M. Shigemori, W. Staessens. Theoretical and mathematical physics, 2011

526 citations recorded by the source corpus.

We consider the transition of a quantum field system toward the state of thermal equilibrium based on the holographic description using the duality between the quantum field system in the d-dimensional Minkowski space and the gravity theory in the (d+1)-dimensional anti-de Sitter space. In this construction, the thermalization in the d-dimensional space is described in the holographic language as the formation of a black hole in the (d+1)-dimensional space. We use a holographic model of thermalization of the quark-gluon plasma describing the black hole formation by the Vaidya metric. We show that evaporation of the black hole, also modeled by the Vaidya metric, leads to an interesting effect in the d-dimensional space: thermalization occurs only at small distances and is impossible in the infrared region. In the considered model, the thermal behavior at small distances is possible only during a certain time, after which the dethermalization process begins.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2f08d16a17a71f849abd6cceb329c36321cec4a7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Stanford
2. V. Hubeny
3. S. Shenker
4. Thomas Hartman
5. D. Harlow
6. J. Maldacena
7. T. Takayanagi
8. Jorge E Santos

In Nuclear and High Energy Physics

1. D. Stanford
2. Thomas Hartman
3. S. Shenker
4. V. Hubeny
5. T. Takayanagi
6. D. Harlow
7. J. Maldacena
8. R. Myers

Citations in the corpus

• Time evolution of entanglement entropy from black hole interiors (2013, methodology): “The behavior of the entanglement entropy under black hole formation was studied in numerous publications which found features which are the same as what we discuss here [2,4,5,6,7,8,13,14,15,16,17,18].”
• Black hole collapse in the 1/c expansion (2016, methodology): “Taking the R →∞ limit of the above answer gives the planar Vaidya geodesic length calculated in [47,48].”
• Numerical methods for finding stationary gravitational solutions (2015, methodology): “This method has shown much success, for instance in [44, 396], where the quasinormal modes of the Kerr-AdS black hole were finally determined and in [386] where the quasinormal spectrum of Kerr-Newman was investigated.”
• Holographic local quenches and entanglement density (2013, background): “The holographic entanglement entropy (HEE) [16, 17, 5] has been calculated for various quantum quenches [13, 18, 19].”
• Holographic evolution of the mutual information (2011, methodology): “3 Three dimensional case and thin shell limit The three dimensional Vaidya geometry (d = 2) is the simplest situation and consequently the best one to study in order to get a physical intuition and more analytic results [8, 33, 38, 39] that could be helpful for the higher dimensional case.”
• Black holes and the butterfly effect (2013, methodology): “Mutual information and entanglement entropy have been used to diagnose thermalization after a quantum quench, in both conventional [14, 15] and holographic setups [7, 16, 17, 18, 19, 20, 21, 22].”
• Holographic thermalization with chemical potential (2012, methodology): “These two sections of the curve are connected according to an analogue of the Snell’s law of refraction [5].”
• Extremal surfaces as bulk probes in AdS/CFT (2012, methodology): “The analysis of thermalization (serving as a toy model of “quantum quench”) initiated in [34] was recently extended by [38, 39] in 3-dimensional bulk, in [40] for 4 dimensions, and [41, 42] in 3,4 and 5 dimensions, the latter having used entanglement entropy as well as equal time correlators and Wil”
• Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes (2017, methodology): “Another way, developed and used in [59], is to use the NewtonRaphson method.”
• Constraining the mass of dark photons and axion-like particles through black-hole superradiance (2018, methodology): “In particular they are the same that were used to compute the ultraspinning and bar-mode gravitational instabilities of rapidly spinning Myers-Perry BHs [53–58], the near-horizon scalar condensation and superradiant instabilities of BHs [59, 60], the gravitational superradiant instability of Kerr-Ad”
• Thermalization with a chemical potential from AdS spaces (2012, methodology): “In this section we describe a model of holographic thermalization of a strongly coupled CFT based on [19, 20].”