Xu Xingran, Krisnanda Tanjung, Liew Timothy C H
Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore.
MajuLab, International Joint Research Unit UMI 3654, CNRS, Université Côte d'Azur, Sorbonne Université, National University of Singapore, Nanyang Technological University, Singapore, Singapore.
Sci Rep. 2022 Sep 10;12(1):15288. doi: 10.1038/s41598-022-15249-9.
We consider atoms in two different periodic potentials induced by different lasers, one of which is coupled to a mechanical membrane via radiation pressure force. The atoms are intrinsically two-level systems that can absorb or emit photons, but the dynamics of their position and momentum are treated classically. On the other hand, the membrane, the cavity field, and the intrinsic two-level atoms are treated quantum mechanically. We show that the mean excitation of the three systems can be stable, periodically oscillating, or in a chaotic state depending on the strength of the coupling between them. We define regular, limit cycle, and chaotic phases, and present a phase diagram where the three phases can be achieved by manipulating the field-membrane and field-atom coupling strengths. We also computed other observable quantities that can reflect the system's phase such as position, momentum, and correlation functions. Our proposal offers a new way to generate and tune the limit cycle and chaotic phases in a well-established atom-optomechanics system.
我们考虑处于由不同激光诱导的两种不同周期势中的原子，其中一种激光通过辐射压力与一个机械膜耦合。这些原子本质上是二能级系统，能够吸收或发射光子，但其位置和动量的动力学被经典地处理。另一方面，膜、腔场以及本征二能级原子则用量子力学方法处理。我们表明，这三个系统的平均激发可以是稳定的、周期性振荡的或处于混沌状态，这取决于它们之间耦合的强度。我们定义了规则相、极限环相和混沌相，并给出了一个相图，通过操纵场 - 膜和场 - 原子耦合强度可以实现这三个相。我们还计算了其他能够反映系统相的可观测量，如位置、动量和关联函数。我们的提议为在一个成熟的原子光力学系统中产生和调谐极限环相和混沌相提供了一种新方法。
