A bstract We consider a Hayden & Preskill like setup for both maximally chaotic and submaximally chaotic quantum field theories. We act on the vacuum with an operator in a Rindler like wedge R and transfer a small subregion I of R to the other wedge. The chaotic scrambling dynamics of the QFT Rindler time evolution reveals the information in the other wedge. The holographic dual of this process involves a particle excitation falling into the bulk and crossing into the entanglement wedge of the complement to r = R\I . With the goal of studying the locality of the emergent holographic theory we compute various quantum information measures on the boundary that tell us when the particle has entered this entanglement wedge. In a maximally chaotic theory, these measures indicate a sharp transition where the particle enters the wedge exactly when the insertion is null separated from the quantum extremal surface for r . For submaximally chaotic theories, we find a smoothed crossover at a delayed time given in terms of the smaller Lyapunov exponent and dependent on the timesmearing scale of the probe excitation. The information quantities that we consider include the full vacuum modular energy R\I asmore »
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Quantum chaos in a weaklycoupled field theory with nonlocality
A bstract In order to study the chaotic behavior of a system with nonlocal interactions, we will consider weakly coupled noncommutative field theories. We compute the Lyapunov exponent of this exponential growth in the large Moyalscale limit to leading order in the t’Hooft coupling and 1/ N . We found that in this limit, the Lyapunov exponent remains comparable in magnitude to (and somewhat smaller than) the exponent in the commutative case. This can possibly be explained by the infrared sensitivity of the Lyapunov exponent. Another possible explanation is that in examples of weakly coupled noncommutative field theories, nonlocal contributions to various thermodynamic quantities are subdominant.
 Award ID(s):
 1820734
 Publication Date:
 NSFPAR ID:
 10356354
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2022
 Issue:
 9
 ISSN:
 10298479
 Sponsoring Org:
 National Science Foundation
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