论文标题
概率统一的任意双重潜在障碍的渗透：测试最小长度存在的影响
Penetration of Arbitrary Double Potential Barriers with Probability Unity: Implications for Testing the Existence of a Minimum Length
论文作者
论文摘要
研究了跨双电势障碍的量子隧道。假设真实空间是连续性的，则严格证明，只需调整伴侣间间距，就可以通过低能量颗粒（即实现谐音隧道（RT）实现统一的概率，即实现谐音隧道（RT）的概率，可以穿透大的任意形状障碍。通过电子和质子的隧道来证明结果，其中区分了谐振和顺序隧穿。隧道概率对屏障位置的关键依赖性不仅证明了相因的关键作用，而且还表明了在共振附近进行超高准确度测量的可能性。相比之下，非零最小长度的存在将上限放在屏障的大小和颗粒质量上，除此之外，有效的RT停止了。建议一种方案来处理由于不确定性原理引起的粒子位置的定位而引起的实际困难。这项工作为基于原子系统的最小长度的实验测试开辟了可能的途径。
Quantum tunneling across double potential barriers is studied. With the assumption that the real space is a continuum, it is rigorously proved that large barriers of arbitrary shapes can be penetrated by low-energy particles with a probability of unity, i.e., realization of resonant tunneling (RT), by simply tuning the inter-barrier spacing. The results are demonstrated by tunneling of electrons and protons, in which resonant and sequential tunneling are distinguished. The critical dependence of tunneling probabilities on the barrier positions not only demonstrates the crucial role of phase factors, but also points to the possibility of ultrahigh accuracy measurements near resonance. By contrast, the existence of a nonzero minimum length puts upper bounds on the barrier size and particle mass, beyond which effective RT ceases. A scheme is suggested for dealing with the practical difficulties arising from the delocalization of particle position due to the uncertainty principle. This work opens a possible avenue for experimental tests of the existence of a minimum length based on atomic systems.
