论文标题
量子机械订购的量子额外订购的相关器，用于非谐（四分之一）振荡器
Quantum Mechanical Out-Of-Time-Ordered-Correlators for the Anharmonic (Quartic) Oscillator
论文作者
论文摘要
已经提出了超定分的相关器（OTOC）作为研究各种系统中量子混沌行为的一种手段。在这项工作中，我计算具有四分之一电位的量子机械振荡器的OTOC，该振荡器具有经典的整合，并且具有泊松状的能级分布。对于低温，OTOC在时间上是周期性的，类似于谐波振荡器和盒子中的粒子的结果。对于高温，OTOC在早期表现出快速（但类似于功率）的增长，然后饱和与$ 2 \ langle x^2 \ rangle_t \ langle p^2 \ rangle_t $在后期。在高温下，频谱形式在早期降低，弹回，然后到达具有强大波动的高原。
Out-of-time-ordered correlators (OTOCs) have been suggested as a means to study quantum chaotic behavior in various systems. In this work, I calculate OTOCs for the quantum mechanical anharmonic oscillator with quartic potential, which is classically integrable and has a Poisson-like energy-level distribution. For low temperature, OTOCs are periodic in time, similar to results for the harmonic oscillator and the particle in a box. For high temperature, OTOCs exhibit a rapid (but power-like) rise at early times, followed by saturation consistent with $2\langle x^2\rangle_T \langle p^2\rangle_T$ at late times. At high temperature, the spectral form factor decreases at early times, bounces back and then reaches a plateau with strong fluctuations.
