论文标题
经典和量子系统中同步的快捷方式
Shortcut to synchronization in classical and quantum systems
论文作者
论文摘要
同步是非线性物理学中的主要概念。在大量系统中，可以长时间观察到正弦激发。在本文中，我们设计了一种瞬时非鞋类驱动器，以更快地达到同步方案。我们举例说明了一种在经典的范德振荡器上解决此问题的反向工程方法。由于系统在相空间中不再像点状，因此无法直接将这种方法直接转移到量子情况下。我们解释了如何通过迭代程序适应我们的方法，以说明相空间中有限大小的量子分布。我们表明，根据痕量距离，所得驱动的驱动矩阵接近同步的矩阵。我们的方法提供了一个快速控制非线性量子系统的示例，并在存在非线性的情况下提出了量子速度限制概念的问题。
Synchronization is a major concept in nonlinear physics. In a large number of systems, it is observed at long times for a sinusoidal excitation. In this paper, we design a transiently non-sinusoidal driving to reach the synchronization regime more quickly. We exemplify an inverse engineering method to solve this issue on the classical Van der Pol oscillator. This approach cannot be directly transposed to the quantum case as the system is no longer point-like in phase space. We explain how to adapt our method by an iterative procedure to account for the finite-size quantum distribution in phase space. We show that the resulting driving yields a density matrix close to the synchronized one according to the trace distance. Our method provides an example of fast control of a nonlinear quantum system, and raises the question of the quantum speed limit concept in the presence of nonlinearities.
