论文标题
耦合的谐波振荡器中的超订单相关器
Out-of-time-order correlator in coupled harmonic oscillators
论文作者
论文摘要
热阶外阶相关器（OTOC）的指数生长是可能的重力双重的指标，并且一个简单的玩具量子模型，显示正在寻找生长。我们考虑了两个谐波振荡器的系统，彼此之间非线性耦合，并从数值上观察到热OTOC会及时地呈指数增长。该系统众所周知是经典的混乱，并且是Yang-Mills-Higgs理论的降低。指数增长是认证的，因为热OTOC的生长指数（量子Lyapunov指数）与经典的Lyapunov指数（包括其能量/温度依赖性）良好。即使在OTOC中指数级增长的情况下，能级间距也不足以判断Wigner分布，因此OTOC是量子混乱的更好指标。
Exponential growth of thermal out-of-time-order correlator (OTOC) is an indicator of a possible gravity dual, and a simple toy quantum model showing the growth is being looked for. We consider a system of two harmonic oscillators coupled nonlinearly with each other, and numerically observe that the thermal OTOC grows exponentially in time. The system is well-known to be classically chaotic, and is a reduction of Yang-Mills-Higgs theory. The exponential growth is certified because the growth exponent (quantum Lyapunov exponent) of the thermal OTOC is well matched with the classical Lyapunov exponent, including their energy/temperature dependence. Even in the presence of the exponential growth in the OTOC, the energy level spacings are not sufficient to judge a Wigner distribution, hence the OTOC is a better indicator of quantum chaos.
