论文标题
在参数化耗散下，在半经典方案中的量子行驶振荡器中的混乱
Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation
论文作者
论文摘要
我们研究了在不同的半经典近似值下，跨系统尺寸和环境耦合的量子耗散振荡器。使用空间（基于相位空间吸引子之间的Kullback-Leibler距离）和时间（基于Lyapunov指数）复杂度指标，我们分离了环境对量子古典差异的影响。此外，我们量化了无法使用半经典或噪声添加的经典近似模拟量子动力学的系统大小。值得注意的是，我们发现一个参数不变的元吸引子以特定的长度尺度出现，并且噪声添加的经典模型与低于此量表的量子动力学强烈偏离。我们的发现还概括了先前的令人惊讶的结果，即经典的规则轨道在半经典方面可能具有最大的量子古典差异。特别是，我们表明，量子古典差异的动态增长不是由经典混乱程度决定的。
We study the quantum dissipative Duffing oscillator across a range of system sizes and environmental couplings under varying semiclassical approximations. Using spatial (based on Kullback-Leibler distances between phase-space attractors) and temporal (Lyapunov exponent-based) complexity metrics, we isolate the effect of the environment on quantum-classical differences. Moreover, we quantify the system sizes where quantum dynamics cannot be simulated using semiclassical or noise-added classical approximations. Remarkably, we find that a parametrically invariant meta-attractor emerges at a specific length scale and noise-added classical models deviate strongly from quantum dynamics below this scale. Our findings also generalize the previous surprising result that classically regular orbits can have the greatest quantum-classical differences in the semiclassical regime. In particular, we show that the dynamical growth of quantum-classical differences is not determined by the degree of classical chaos.
