论文标题
生存共振的经典模型接近塔尔伯特时间
Classical model for survival resonances close to Talbot time
论文作者
论文摘要
我们提出了一个经典的近似值，即从吸收势中衍射物质波时出现的生存共振峰。通常，我们的简化模型很好地描述了Talbot时间周围的吸收 - 划分过程。目前缺乏此过程的经典治疗方法。对于纯粹想象的电位，经典模型重复了量子机械计算。经典模型允许简单地演变相位概率密度，在有效普朗克的常数范围内，该概率的限制允许将生存概率的紧凑分析表达作为其余参数的函数。我们的工作扩展了可以通过经典类似物描述的过程范围。
We present a classical approximation for the peaks of survival resonances occurring when diffracting matter waves from absorption potentials. Generally our simplified model describes the absorption-diffraction process around the Talbot time very well. Classical treatments of this process are presently lacking. For purely imaginary potentials, the classical model duplicates quantum mechanical calculations. The classical model allows for simple evolution of phase-space probability densities, which in the limit of the effective Planck's constant going to zero allows for a compact analytical expression of the survival probability as a function of remaining parameters. Our work extends the range of processes that can be described through classical analogues.
