Operator Lévy Flight: Light Cones in Chaotic Long-Range Interacting Systems
Abstract
We argue that chaotic power-law interacting systems have emergent limits on information propagation, analogous to relativistic light cones, which depend on the spatial dimension d and the exponent α governing the decay of interactions. Using the dephasing nature of quantum chaos, we map the problem to a stochastic model with a known phase diagram. A linear light cone results for α ≥ $$\textit{d}$$ + 1/2. We also provide a Lévy flight (long-range random walk) interpretation of the results and show consistent numerical data for 1D long-range spin models with 200 sites.
- Authors:
-
- Univ. of California, Santa Barbara, CA (United States)
- Univ. of Maryland, College Park, MD (United States); Texas A & M Univ., College Station, TX (United States)
- Univ. of California, Santa Barbara, CA (United States); Univ. of Colorado, Boulder, CO (United States)
- Joint Center for Quantum Information and Computer Science, College Park, MD (United States); Joint Quantum Institute, College Park, MD (United States); National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); Univ. of Maryland, College Park, MD (United States)
- Univ. of Maryland, College Park, MD (United States)
- Publication Date:
- Research Org.:
- Univ. of Maryland, College Park, MD (United States); Duke Univ., Durham, NC (United States)
- Sponsoring Org.:
- Gordon and Betty Moore Foundation; Defense Advanced Research Projects Agency (DARPA); National Science Foundation (NSF); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES); US Air Force Office of Scientific Research (AFOSR); US Army Research Office (ARO); US Army Research Laboratory (USARL)
- OSTI Identifier:
- 1803524
- Grant/Contract Number:
- SC0019040; SC0019449; GBMF4304; NSF PHY-1748958; DGE-1840340
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 124; Journal Issue: 18; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics
Citation Formats
Zhou, Tianci, Xu, Shenglong, Chen, Xiao, Guo, Andrew, and Swingle, Brian. Operator Lévy Flight: Light Cones in Chaotic Long-Range Interacting Systems. United States: N. p., 2020.
Web. doi:10.1103/physrevlett.124.180601.
Zhou, Tianci, Xu, Shenglong, Chen, Xiao, Guo, Andrew, & Swingle, Brian. Operator Lévy Flight: Light Cones in Chaotic Long-Range Interacting Systems. United States. https://doi.org/10.1103/physrevlett.124.180601
Zhou, Tianci, Xu, Shenglong, Chen, Xiao, Guo, Andrew, and Swingle, Brian. Mon .
"Operator Lévy Flight: Light Cones in Chaotic Long-Range Interacting Systems". United States. https://doi.org/10.1103/physrevlett.124.180601. https://www.osti.gov/servlets/purl/1803524.
@article{osti_1803524,
title = {Operator Lévy Flight: Light Cones in Chaotic Long-Range Interacting Systems},
author = {Zhou, Tianci and Xu, Shenglong and Chen, Xiao and Guo, Andrew and Swingle, Brian},
abstractNote = {We argue that chaotic power-law interacting systems have emergent limits on information propagation, analogous to relativistic light cones, which depend on the spatial dimension d and the exponent α governing the decay of interactions. Using the dephasing nature of quantum chaos, we map the problem to a stochastic model with a known phase diagram. A linear light cone results for α ≥ $\textit{d}$ + 1/2. We also provide a Lévy flight (long-range random walk) interpretation of the results and show consistent numerical data for 1D long-range spin models with 200 sites.},
doi = {10.1103/physrevlett.124.180601},
journal = {Physical Review Letters},
number = 18,
volume = 124,
place = {United States},
year = {Mon May 04 00:00:00 EDT 2020},
month = {Mon May 04 00:00:00 EDT 2020}
}
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