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

Jia-Hui Bao,Cheng-Yong Zhang

Table 1. Summary of early-time power law growth of OTOCs with both local and nonlocal operators in the XY model.

	(1, 1)	(0, 1)	(1, 0)	(0, 0)
C_xx	t^4l+2	${t}^{2l+1+{\left(-1\right)}^{l}}$	—	${t}^{2l+1+{(-1)}^{l}}$
C_xy	t^4l	${t}^{2l+1-{(-1)}^{l}}$	—	${t}^{2l+1-{(-1)}^{l}}$
C_yy	t^4l − 2	${t}^{2l+1+{(-1)}^{l}}$	—	${t}^{2l+1+{(-1)}^{l}}$
C_xz	t^4l	t^2l	—	t^2l
C_yz	t^4l − 2	t^2l	—	t^2l
C_zz	t^4l − 2	t^2l	t⁰(l = 1)	t^2l