On entanglement spreading in chaotic systems

By M. Mezei, D. Stanford. Journal of High Energy Physics, 2016

183 citations recorded by the source corpus.

We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an emergent light cone, and the other is a conjecture associated to the “entanglement velocity” vE. We compare this model to new holographic and spin chain computations, and to an operator growth picture. Finally, we introduce a second way of computing the emergent light cone speed in holographic theories that provides a boundary dynamics explanation for a special case of entanglement wedge subregion duality in AdS/CFT.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7baba379afe09eb831160c99cfdea05d88d8e568

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

In Nuclear and High Energy Physics

Citations in the corpus

Islands in cosmology (2020, background): “The matter entanglement S̃mat(I∪R) across the thermofield double has been studied in many papers [34,53–55,68–71].”
Measurement-Induced Phase Transitions in the Dynamics of Entanglement (2018, background): “[10] Márk Mezei and Douglas Stanford.”
Scrambling Dynamics and Out-of-Time-Ordered Correlators in Quantum Many-Body Systems (2022, background): “, see [16, 17] for a discussion of AdS/CFT models in the same spirit as this tutorial).”
Moving the CFT into the bulk with TT¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ T\overline{T} $$\end{document} (2016, background): “The smallest boundary subregion Σ(t) that contains the information created by O(x, 0) after time t is simply the smallest region such that the corresponding RT surface still contains the bulk particle [32].”
Entanglement Membrane in Chaotic Many-Body Systems (2019, methodology): “We use the Pauli weight [18, 25, 94] to estimate vB in the Floquet circuit.”
Quantum extremal islands made easy. Part II. Black holes on the brane (2020, background): “L: R R](0) I[R L: R R](˝); (4.16) where I[R L : R R](˝) = S(R L) + S(R R) S(R L [R R) is the mutual information between the regions R in the left (L) and right (R) CFT at time ˝. Similar to [101], we now assume that information is only transported with the butter y velocity v but or less.24 For the ”
Operator Spreading in Random Unitary Circuits (2017, methodology): “[11], we showed that the speed vE associated with entanglement growth is in general smaller than the operator growth speed vB , and gave explicit models displaying a ratio vE/vB < 1.”
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws (2017, result): “[[32]], numerous results in holography [37–39], and the results derived for Clifford circuits in Ref.”
Unitary circuits of finite depth and infinite width from quantum channels (2019, background): “[17] Márk Mezei and Douglas Stanford, “On entanglement spreading in chaotic systems,” Journal of High Energy Physics 2017, 65 (2017).”
Emergent statistical mechanics of entanglement in random unitary circuits (2018, unknown): “[22] Márk Mezei and Douglas Stanford.”