Time evolution of entanglement for holographic steady state formation

Erdmenger, Johanna; Fernández, Daniel; Flory, Mario; Megías, Eugenio; Straub, Ann-Kathrin; Witkowski, Piotr

doi:10.1007/jhep10(2017)034

Cited by 35 publications

(52 citation statements)

References 100 publications

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“…where the first two correction terms are just the second order expansion of the full result for Gauss-Bonnet gravity (71).…”

Section: Entanglement With Higher Derivatives In the Scaling Limitmentioning

confidence: 99%

Exploring the membrane theory of entanglement dynamics

Virrueta

2020

J. High Energ. Phys.

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Recently an effective membrane theory valid in a "hydrodynamic limit" was proposed to describe entanglement dynamics of chaotic systems based on results in random quantum circuits and holographic gauge theories. In this paper, we show that this theory is robust under a large set of generalizations. In generic quench protocols we find that the membrane couples geometrically to hydrodynamics, joining quenches are captured by branes in the effective theory, and the entanglement of time evolved local operators can be computed by probing a time fold geometry with the membrane. We also demonstrate that the structure of the effective theory does not change under finite coupling corrections holographically dual to higher derivative gravity and that subleading orders in the hydrodynamic expansion can be incorporated by including higher derivative terms in the effective theory.

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“…where the first two correction terms are just the second order expansion of the full result for Gauss-Bonnet gravity (71).…”

Section: Entanglement With Higher Derivatives In the Scaling Limitmentioning

confidence: 99%

Exploring the membrane theory of entanglement dynamics

Virrueta

2020

J. High Energ. Phys.

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“…where θ is the step function. The metric is equivalent to the one used in [19], provided one identifies…”

Section: Example: Far From Equilibrium Flow In Quantum Critical Systemsmentioning

confidence: 99%

“…The left Fig. 1 shows HEE in this geometry as a function of time for several temperature combinations for an interval that starts in the left (dashed) and right (solid) heat baths (see also [19]). From time 1 until 3 the shock wave passes the interval after which the interval is fully within the It is noteworthy that for the case where θ(x) above is a true step function Hill's equation…”

Section: Example: Far From Equilibrium Flow In Quantum Critical Systemsmentioning

confidence: 99%

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Quantum null energy condition and its (non)saturation in 2d CFTs

et al. 2019

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We consider the Quantum Null Energy Condition (QNEC) for holographic conformal field theories in two spacetime dimensions (CFT 2 ). We show that QNEC saturates for all states dual to vacuum solutions of AdS 3 Einstein gravity, including systems that are far from thermal equilibrium. If the Ryu-Takayanagi surface encounters bulk matter QNEC does not need to be saturated, whereby we give both analytical and numerical examples. In particular, for CFT 2 with a global quench dual to AdS 3 -Vaidya geometries we find a curious half-saturation of QNEC for large entangling regions. We also address order one corrections from quantum backreactions of a scalar field in AdS 3 dual to a primary operator of dimension h in a large central charge expansion and explicitly compute both, the backreacted Ryu-Takayanagi surface part and the bulk entanglement contribution to EE and QNEC. At leading order for small entangling regions the contribution from bulk EE exactly cancels the contribution from the back-reacted Ryu-Takayanagi surface, but at higher orders in the size of the region the contributions are almost equal while QNEC is not saturated. For a half-space entangling region we find that QNEC is gapped by h/4 in the large h expansion. 1

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“…It would be interesting the study the time evolution of the mutual information, and to check the validity of the entanglement entropy inequalities in time dependent systems. These and other issues will be addressed in a forthcoming publication [18]. 5 One can see from …”

Section: Discussionmentioning

confidence: 99%

Far-from-equilibrium energy flow and entanglement entropy

Megías

2017

EPJ Web Conf.

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Abstract. The time evolution of the energy transport triggered in a strongly coupled system by a temperature gradient is holographically related to the evolution of an asymptotically AdS black brane. We study the far-from-equilibrium properties of such a system by using the AdS/CFT correspondence. In particular, we describe the appearance of a steady state, and study the information flow by computing the time evolution of the holographic entanglement entropy. Some universal properties of the quenching process are presented.

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Time evolution of entanglement for holographic steady state formation

Cited by 35 publications

References 100 publications

Exploring the membrane theory of entanglement dynamics

Exploring the membrane theory of entanglement dynamics

Quantum null energy condition and its (non)saturation in 2d CFTs

Far-from-equilibrium energy flow and entanglement entropy

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