论文标题
$ pt $ -symmemery在理解哈特曼效应中的作用
Role of $PT$-symmetry in understanding Hartman effect
论文作者
论文摘要
著名的Hartman效应，根据该效应，通过不透明的屏障的隧道时间独立于屏障的宽度，以实现足够较厚的屏障，直到今天，才在理论上和实验上都没有充分理解。在这项工作中，我们试图浏览一些隧道的悖论结果背后的奥秘。为此，我们计算了从分层的非荷里式系统中计算出的隧道时间，以检查$ pt $ - 对称性比隧道时间的效果。我们明确发现，对于尊重$ pt $ -symmetry的系统，隧道时间与$ pt $ - 符合屏障的厚度饱和，因此显示了Hartman效应的存在。对于非PT对称情况，隧道时间取决于屏障的厚度，而Hartman效应却丢失了。我们进一步考虑了一种限制案例，在这种情况下，非富米系统将实际障碍物的hartman效应减少到了真正的障碍，这是由于$ pt $ symmemetry（相应的非富米特系统）所致。
The celebrated Hartman effect, according to which, the tunneling time through a opaque barrier is independent of the width of the barrier for a sufficiently thick barrier, is not well understood theoretically and experimentally till today. In this work we attempt to through some light to understand the mystery behind this paradoxical result of tunneling .For this purpose we calculate the tunneling time from a layered non-Hermitian system to examine the effect of $PT$-symmetry over tunneling time. We explicitly find that for system respecting $PT$-symmetry, the tunneling time saturates with the thickness of the $PT$-symmetric barrier and thus shows the existence of Hartman effect. For non PT-symmetric case, the tunneling time depends upon the thickness of the barrier and Hartman effect is lost. We further consider the limiting case in which the non-Hermitian system reduces to the real barrier to show that the Hartman effect from a real barrier is due to $PT$-symmetry (of the corresponding non-Hermitian system) .
