论文标题
量子疤痕影响圆陷阱中三个相互作用颗粒的运动
Quantum scar affecting the motion of three interacting particles in a circular trap
论文作者
论文摘要
从理论上讲，我们提出了一个量子疤痕，影响圆形陷阱中三个相互作用的颗粒的运动。我们从数字上计算系统的量子本质状态，并表明其中一些人被经典不稳定的周期性轨迹疤痕，在经典类似物的附近表现出混乱。我们认为的几个身体疤痕是通过量子力学稳定的，我们按照原始量子疤痕机制的线进行分析[Heller，Phys。莱特牧师。 53，1515（1984）]。特别是，我们确定了疤痕量子状态的塔楼，我们根据疤痕的不稳定经典轨迹充分解释了这些量子。由于Rydberg Atom捕获的最新进展，我们的建议在实验性范围内。
We theoretically propose a quantum scar affecting the motion of three interacting particles in a circular trap. We numerically calculate the quantum eigenstates of the system and show that some of them are scarred by a classically unstable periodic trajectory, in the vicinity of which the classical analog exhibits chaos. The few-body scar we consider is stabilized by quantum mechanics, and we analyze it along the lines of the original quantum scarring mechanism [Heller, Phys. Rev. Lett. 53, 1515 (1984)]. In particular, we identify towers of scarred quantum states which we fully explain in terms of the unstable classical trajectory underlying the scar. Our proposal is within experimental reach owing to very recent advances in Rydberg atom trapping.
