论文标题
通过衰减和衰落点源发出的量子波的动力学
Dynamics of a quantum wave emitted by a decaying and evanescent point source
论文作者
论文摘要
我们提出了一个描述1D中非相互作用量子波的衰减和衰落点源的模型。这个点源假设允许一个简单的描述,该描述捕获了通过经典禁止区域传播的波动动力学的基本方面,而无需指定内部区域的细节。检查了结果波的动力学,并确定了几个特征时间。其中一个概括了Büttiker和Landauer引入的隧道时间尺度,它表征了波函数的最大值的到来。还研究了时间的衍射和与指数衰减的偏差。在这里,我们表明存在观察这两种量子现象的最佳注入频率和检测点。
We put forward a model that describes a decaying and evanescent point source of non-interacting quantum waves in 1D. This point-source assumption allows for a simple description that captures the essential aspects of the dynamics of a wave traveling through a classically forbidden region without the need to specify the details of the inner region. The dynamics of the resulting wave is examined and several characteristic times are identified. One of them generalizes the tunneling time-scale introduced by Büttiker and Landauer and it characterizes the arrival of the maximum of the wave function. Diffraction in time and deviations from exponential decay are also studied. Here we show that there exists an optimal injection frequency and detection point for the observation of these two quantum phenomena.