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Published June 2021 | Published + Accepted Version
Journal Article Open

Page curve from non-Markovianity


In this paper, we use the exactly solvable Sachdev-Ye-Kitaev model to address the issue of entropy dynamics when an interacting quantum system is coupled to a non-Markovian environment. We find that at the initial stage, the entropy always increases linearly matching the Markovian result. When the system thermalizes with the environment at a sufficiently long time, if the environment temperature is low and the coupling between system and environment is weak, then the total thermal entropy is low and the entanglement between system and environment is also weak, which yields a small system entropy in the long-time steady state. This manifestation of non-Markovian effects of the environment forces the entropy to decrease in the later stage, which yields the Page curve for the entropy dynamics. We argue that this physical scenario revealed by the exact solution of the Sachdev-Ye-Kitaev model is universally applicable for general chaotic quantum many-body systems and can be verified experimentally in near future.

Additional Information

© 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: February 27, 2021; Revised: May 7, 2021; Accepted: June 13, 2021; Published: June 25, 2021. We thank Yiming Chen, Yingfei Gu, and Zhenbin Yang for helpful discussion. This work is supported by Beijing Outstanding Young Scientist Program, NSFC Grant No. 11734010, MOST under Grant No. 2016YFA0301600.

Attached Files

Accepted Version - 2101.11238.pdf

Published - Su2021_Article_PageCurveFromNon-Markovianity.pdf


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August 20, 2023
August 20, 2023