Scramblon loops

Autor: Douglas Stanford, Shreya Vardhan, Shunyu Yao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 10, Pp 1-32 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP10(2024)073
Popis: Abstract In large N chaotic quantum systems, the butterfly effect is mediated by a collective field mode known as the “scramblon.” We study self-interactions of the scramblon in variants of the Sachdev-Ye-Kitaev model. In spatially extended versions of the model and for large spatial separation, fluctuations described by loop diagrams can invalidate the single-scramblon approximation well before its contribution to out-of-time-order correlators becomes of order one. We find a qualitative difference between an incoherent regime at high temperaure (or in a Brownian version of the model) and a coherent regime at low temperature.
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