Evolution of holographic entanglement entropy after thermal and electromagnetic quenches

By Tameem Albash, Clifford V. Johnson. 2010

255 citations recorded by the source corpus.

We study the evolution and scaling of the entanglement entropy after two types of quenches for a 2+1 field theory, using a conjectured holographic technique for its computation. We study a thermal quench, dual to the addition of a shell of uncharged matter to four-dimensional anti-de Sitter (AdS4) spacetime, and study the subsequent formation of a Schwarzschild black hole. We also study an electromagnetic quench, dual to the addition of a shell of charged sources to AdS4, following the subsequent formation of an extremal dyonic black hole. In these backgrounds, we consider the entanglement entropy of two types of geometries, the infinite strip and the round disc, and find distinct behavior for each. Some of our findings naturally supply results analogous to observations made in the literature for lower dimensions, but we also uncover several new phenomena, such as (in some cases) a discontinuity in the time derivative of the entanglement entropy as it nears saturation, and for the electromagnetic quench, a logarithmic growth in the entanglement entropy with time for both the disc and strip, before settling to saturation. We briefly discuss the possible origin of the new phenomena in terms of the features of the conjectured dual field theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4048da960f724f6f0bc0cbb1862b0acaa6c1b7a0

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. R. Myers
2. V. Hubeny
3. D. Stanford
4. T. Takayanagi
5. E. Tonni
6. S. Shenker
7. M. Headrick
8. Pasquale Calabrese

In Nuclear and High Energy Physics

1. R. Myers
2. T. Takayanagi
3. V. Hubeny
4. D. Stanford
5. E. Tonni
6. Pasquale Calabrese
7. S. Shenker
8. Thomas Hartman

In Statistical and Nonlinear Physics

1. R. Myers
2. D. Stanford
3. S. Shenker
4. T. Takayanagi
5. E. Tonni
6. V. Hubeny
7. A. Singh
8. A. Allais

Citations in the corpus

• 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].”
• Quantum quenches in 1  +  1 dimensional conformal field theories (2016, background): “The goal of this review is to give a self-contained presentation of the imaginary time path integral approach to the quench dynamics of CFTs.”
• Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “For example, in this focus issue, Albash and Johnson [457] study the evolution of the Ryu-Takanayagi entropy under a thermal quench, leading both to evidence supporting the conjecture and to predictions for the evolution of the entanglement entropy.”
• Holographic thermalization with chemical potential (2012, background): “To pick a charge function, we note the following[33]: For d = 3 we can rewrite the function f(z, v) as follows”
• Thermalization with a chemical potential from AdS spaces (2012, methodology): “Then in [17] it is studied the evolution and scaling of the entanglement entropy for a 3 dimensional field theory using a thermal quench, leading to an asymptotically anti-de Sitter Schwarzschild black hole in four dimensions.”
• Comments on holographic entanglement entropy and RG flows (2012, background): “Finally similar phase transitions in the entanglement entropy have also been found in holographic superconductors as the temperature is varied [96] and in the time evolution of holographic quantum quenches [97].”
• Holographic evolution of the mutual information (2011, background): “The null geodesics in these geometries have been studied in [32] but here we are interested into the spacelike ones, which occur in the computation of the holographic entanglement entropy [8, 33, 34].”
• Strong subadditivity and the covariant holographic entanglement entropy formula (2012, background): “(3)Several papers, including [7, 8, 9, 6, 10, 11, 12], have previously considered entanglement entropies in AdS3-Vaidya spacetimes (mainly focusing on the case of constant-time intervals).”
• 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”