论文标题
相关的OTOC操作员：经典动态的足迹
Relevant OTOC operators: footprints of the classical dynamics
论文作者
论文摘要
户外订单相关器（OTOC）最近在与量子信息和纠缠相关联的不同领域已变得相关。还建议它是量子复杂性的良好指标。从这个意义上讲，OTOC-RE定理将OTOC与完全的操作员基础相关的OTOC与第二个Renyi熵相关联。在这里，我们研究了OTOC-RE对应的物理意义基础，例如由Pauli，Reflection和Translation Operators构建的基础。该演化是由一个范式的双方系统给出的，该系统由两个带有不同动力学的扰动和耦合的Arnold Cat图组成。我们表明，一小部分相关运算符上的总和足以获得熵的非常好的近似值，因此可以揭示动力学的特征，直到一个时间t 0。反过来，这提供了复杂性的替代自然指标，即随时间的相关操作员数量的缩放。当在相空间中表示时，这些集合中的每一个都会根据所选的基础揭示具有不同深度的经典动力足迹。
The out-of-time order correlator (OTOC) has recently become relevant in different areas where it has been linked to scrambling of quantum information and entanglement. It has also been proposed as a good indicator of quantum complexity. In this sense, the OTOC-RE theorem relates the OTOCs summed over a complete base of operators to the second Renyi entropy. Here we have studied the OTOC-RE correspondence on physically meaningful bases like the ones constructed with the Pauli, reflection, and translation operators. The evolution is given by a paradigmatic bi-partite system consisting of two perturbed and coupled Arnold cat maps with different dynamics. We show that the sum over a small set of relevant operators, is enough in order to obtain a very good approximation for the entropy and hence to reveal the character of the dynamics, up to a time t 0 . In turn, this provides with an alternative natural indicator of complexity, i.e. the scaling of the number of relevant operators with time. When represented in phase space, each one of these sets reveals the classical dynamical footprints with different depth according to the chosen base.
