论文标题
在非热踢转子模型中的超时有序相关器的缩放
Scaling of out-of-time ordered correlators in a non-Hermitian kicked rotor model
论文作者
论文摘要
我们通过量子踢转子模型的非速度扩展研究了超时订购的相关器（OTOC）的动力学，其中踢势满足$ \ MATHCAL {pt} $ - 对称性。自发$ \ cal {pt} $ - 当踢势的想象部分的强度超过阈值时，就会出现对称破裂。我们在分析和数字上都发现，在$ \ cal {pt} $对称性的破碎相位，otocs随时间演化迅速饱和。有趣的是，后期饱和值在系统大小中缩放为POW-LAW。这种缩放定律的机制是由于非局部运算符在OTOC中的影响与非炎症驱动电位引起的时间逆转之间的相互作用。
We investigate the dynamics of the out-of-time-ordered correlators (OTOCs) via a non-Hermitian extension of the quantum kicked rotor model, where the kicking potential satisfies $\mathcal{PT}$-symmetry. The spontaneous $\cal{PT}$-symmetry breaking emerges when the strength of the imaginary part of the kicking potential exceeds a threshold value. We find, both analytically and numerically, that in the broken phase of $\cal{PT}$ symmetry, the OTOCs rapidly saturate with time evolution. Interestingly, the late-time saturation value scales as a pow-law in the system size. The mechanism of such scaling law results from the interplay between the effects of nonlocal operator in OTOCs and the time reversal induced by non-Hermitian driven potential.
