Title | Operator Levy Flight: Light Cones in Chaotic Long-Range Interacting Systems |
Publication Type | Journal Article |
Year of Publication | 2020 |
Authors | T. Zhou, S. Xu, X. Chen, A. Guo, and B. Swingle |
Journal | Phys. Rev. Lett. |
Volume | 124 |
Pagination | 180601 |
Date Published | MAY 4 |
Type of Article | Article |
ISSN | 0031-9007 |
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 a 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 alpha >= d + 1/2. We also provide a Levy 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 |