论文标题
参数驱动的耦合振荡器的热化
Thermalization in parametrically driven coupled oscillators
论文作者
论文摘要
我们考虑一个由两个耦合振荡器组成的系统，其中一个是参数驱动的，并在Floquet描述中研究了经典和量子动力学。对于动态稳定和不稳定的区域，观察到量子波动时间演变的特征变化。由参数驱动的振荡器产生的动力不稳定性会导致未发光振荡器的无限温度热化，这从能量的等电分区，降低密度矩阵和纠缠熵饱和的饱和度中可以明显看出。我们还确认，经典的Lyapunov指数是从动态变量的“不相等换向器”的增长率中正确捕获的，该变量表明热化源于量子系统中的不稳定性。
We consider a system of two coupled oscillators one of which is driven parametrically and investigate both classical and quantum dynamics within Floquet description. Characteristic changes in the time evolution of the quantum fluctuations are observed for dynamically stable and unstable regions. Dynamical instability generated by the parametrically driven oscillator leads to infinite temperature thermalization of the undriven oscillator which is evident from the equi-partitioning of energy, reduced density matrix and saturation of entanglement entropy. We also confirm that the classical Lyapunov exponent is correctly captured from the growth rate of `unequal time commutator' of dynamical variables which indicates thermalization stems from the instability in quantum system.
