论文标题
用隧道屏障的量子混沌传输的半经典处理
Semiclassical treatment of quantum chaotic transport with a tunnel barrier
论文作者
论文摘要
我们考虑量子混沌传输的半经典描述的问题，当隧道屏障之一存在于其中一个线索中时。使用按照矩阵模型制定的半经典方法，我们在屏障的反射概率中获得了传输矩作为功率序列，其系数是开放通道数量的合理函数。因此，我们的结果在量子状态下，不仅在$ m \ gg gg 1 $时有效。我们得出的表达与随机矩阵理论的相应预测并不相同，但实际上更简单。两种理论都一致，我们可以测试。
We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as power series in the reflection probability of the barrier, whose coefficients are rational functions of the number of open channels M. Our results are therefore valid in the quantum regime and not only when $M\gg 1$. The expressions we arrive at are not identical with the corresponding predictions from random matrix theory, but are in fact much simpler. Both theories agree as far as we can test.
