Out-of-time-order correlators in the one-dimensional XY model

Jia-Hui Bao,Cheng-Yong Zhang

Table 2. Summary of long-time power law growth of OTOC for both local and nonlocal operators in the XY model.

(1, 1) (0, 1) (1, 0) (0, 0) $| {F}_{{xx}}| $ t−1/4 t−1/2 — t−1/2 $| {F}_{{xy}}| $ t−2 t−3/2 — t−1/2 $| {F}_{{yy}}| $ t−3 t−1/2 — t−1/2 $| {F}_{{xz}}| $ t0 t−2 — t−2 $| {F}_{{yz}}| $ t0 t−2 — t−2 Czz t−1 t−1 t0(l = 1) t−1