论文标题
从双单位性到通用量子操作员传播
From Dual Unitarity to Generic Quantum Operator Spreading
论文作者
论文摘要
双单位电路是范式可解决但混乱的量子多体系统的范式示例，但是可溶性自然而然地伴随着一定程度的非传播行为。通过调查弱折断双重非军事对本地操作员传播的影响，我们研究是否以及如何恢复双重非军事的小偏差恢复了完全通用的多体动力学。我们为超时相关器提供了一个离散的路径综合公式，并使用它来恢复小于轻度速度小的蝴蝶速度，$ v_b <v_v_ {lc {lc} $以及弥补的宽扩展操作员前部，两种通用的量子量子旋转链中不存在的偶尔循环循环动力学中不存在的量子量子旋转。我们发现，蝴蝶速度和扩散常数由一小部分显微量确定，并且门的操作员纠缠起来起着至关重要的作用。
Dual-unitary circuits are paradigmatic examples of exactly solvable yet chaotic quantum many-body systems, but solvability naturally goes along with a degree of non-generic behaviour. By investigating the effect of weakly broken dual-unitarity on the spreading of local operators we study whether, and how, small deviations from dual-unitarity recover fully generic many-body dynamics. We present a discrete path-integral formula for the out-of-time-order correlator and use it to recover a butterfly velocity smaller than the light-cone velocity, $v_B < v_{LC}$ , and a diffusively broadening operator front, two generic features of ergodic quantum spin chains absent in dual-unitary circuit dynamics. We find that the butterfly velocity and diffusion constant are determined by a small set of microscopic quantities and that the operator entanglement of the gates plays a crucial role.
