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arXiv 2205.09397quant-ph
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不同能区的调谐时间的一般方案

A General Scenario of Tunneling Time in Different Energy Regimes

Sheng-Chang Li

摘要:

通过研究玻色凝聚原子的波包通过方势垒的隧穿时间,从理论上研究了原子的隧穿时间。我们发现隧穿时间在不同的能量区域表现出不同的标度律。当波包的入射能量为负时,隧穿时间随入射速度的减小而迅速减小。相反,对于小于势垒高度的正入射能量,隧穿时间缓慢增加,然后达到最大值,这与拉莫尔钟实验一致。还讨论了与不确定原理有关的势垒宽度对最大隧穿时间的影响。我们的工作提供了一个隧道时间的一般情况下,可以用来理解和解释隧道时间的争议。

英文摘要:

We theoretically study the tunneling time by investigating a wave packet of Bose-condensed atoms passing through a square barrier. We find that the tunneling time exhibits different scaling laws in different energy regimes. For negative incident energy of the wave packet, counterintuitively, the tunneling time decreases very rapidly with decreasing incident velocity. In contrast, for positive incident energy smaller than the barrier height, the tunneling time increases slowly and then reaches a maximum, which is in agreement with the Larmor clock experiments. The effect of the barrier width related to the uncertainty principle on the maximum tunneling time is also addressed. Our work provides a general scenario of tunneling time that can be used to understand and explain the controversy over tunneling time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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