论文标题
rydberg原子系统中的量子混乱
Quantum Chaos in a Rydberg Atom System
论文作者
论文摘要
Hallam等人的最新提案。建议使用由时间依赖的变分原理（TDVP）获得的半经典运动方程的混沌特性作为量子混乱的特征。在本文中，我们计算了半经典理论的Lyapunov谱，该谱图近似于强烈相互作用的Rydberg原子阵列的量子动力学，从而导致定期运动。此外，我们计算近似值周围量子波动的影响，并从周期轨道获得逃生速率。我们将该速率与从量子理论的精确解决方案中提取的速率进行了比较，并找到一个数量级差异。我们得出的结论是，在这种情况下，TDVP方程中的混乱并不符合系统的陷入困境。我们的结果补充了Ho等人。关于半经典周期轨道的逃逸率。
A recent proposal by Hallam et al. suggested using the chaotic properties of the semiclassical equations of motion, obtained by the time dependent variational principle (TDVP), as a characterization of quantum chaos. In this paper, we calculate the Lyapunov spectrum of the semiclassical theory approximating the quantum dynamics of a strongly interacting Rydberg atom array, which lead to periodic motion. In addition, we calculate the effect of quantum fluctuations around this approximation, and obtain the escape rate from the periodic orbit. We compare this rate to the rate extracted from the exact solution of the quantum theory, and find an order of magnitude discrepancy. We conclude that in this case, chaos in the TDVP equations does not correpond to phsyical properties of the system. Our result complement those of Ho et al. regarding the escape rate from the semiclassical periodic orbit.
