On scrambling, tomperature and superdiffusion in de Sitter space
Creators
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1.
California Institute of Technology
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2.
University of California, Santa Barbara
Abstract
This paper investigates basic properties of the de Sitter static patch using simple two-point functions in the probe approximation. We find that de Sitter equilibrates in a superdiffusive manner, unlike most physical systems which equilibrate diffusively. We also examine the scrambling time. In de Sitter, the two-point functions of free fields do not decay for sometime because quanta can reflect off the pole of the static patch. This suggests a minimum scrambling time of the order log(1/G_N), even for perturbations introduced on the stretched horizon, indicating fast scrambling inside de Sitter static patch. We also discuss the interplay between thermodynamic temperature and inverse correlation time, sometimes called "tomperature."
Copyright and License
© 2025 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.
Acknowledgement
We are grateful to Ying Zhao for collaboration at the early stages. We would like to thank Xi Dong, Hao Geng, Daniel Harlow, Alexei Kitaev, Juan Maldacena, Donald Marolf, John Preskill, Tommy Schuster for comments and discussions. We are thankful to Eugenia Colafranceschi, Gary Horowitz, Adel Rahman and Leonard Susskind for the comments on the manuscript.
Funding
AM acknowledges funding provided by the Simons Foundation, the DOE QuantISED program (DE-SC0018407), and the Air Force Office of Scientific Research (FA9550-19-1-0360). The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center. AM was also supported by the Simons Foundation under grant 376205. J.X. was on the MURI grant and was supported in part by the U.S. Department of Energy under Grant No. DE-SC0011702. This material is based upon work supported by the Air Force Office of Scientific Research under award number FA9550-19-1-0360.
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2403.13915 (arXiv)
Funding
- Simons Foundation
- 376205
- United States Department of Energy
- DE-SC0018407
- United States Air Force Office of Scientific Research
- FA9550-19-1-0360
- United States Department of Energy
- DE-SC0011702
- SCOAP3
Dates
- Accepted
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2025-06-26
- Available
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2025-07-28Published