吸收介质中薛定谔波的超快传播
Ultra-fast propagation of Schrödinger waves in absorbing media
摘要:
我们确定了一个点源所产生的量子波的演化的特征时间,在吸收介质中具有尖锐的发病。埃尔米特非吸收情况下的“Büttiker-Landauer”时间(随到源的距离线性增长)被三个不同的特征量所取代。其中之一描述了相对于位置计算的密度的最大值的到达,但是对于给定位置,相对于时间的最大值变得与到源的距离无关,并且由粒子在介质中的"存活时间“给出。与哈特曼效应不同的是,后一种效应发生在低于或高于截止值的注入频率以及任意大的距离。提出了用失谐激光照射二能级原子的一种可能的物理实现方法。
英文摘要:
We identify the characteristic times of the evolution of a quantum wave generated by a point source with a sharp onset in an absorbing medium. The "traversal'' or "Büttiker-Landauer'' time (which grows linearly with the distance to the source) for the Hermitian, non-absorbing case is substituted by three different characteristic quantities. One of them describes the arrival of a maximum of the density calculated with respect to position, but the maximum with respect to time for a given position becomes independent of the distance to the source and is given by the particle's ``survival time'' in the medium. This later effect, unlike the Hartman effect, occurs for injection frequencies under or above the cut-off, and for arbitrarily large distances. A possible physical realization is proposed by illuminating a two-level atom with a detuned laser.
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