Pecora Louis M, Lee Hoshik, Wu Dong-Ho, Antonsen Thomas, Lee Ming-Jer, Ott Edward
Materials Physics and Sensors, US Naval Research Laboratory, Washington, DC 20375, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):065201. doi: 10.1103/PhysRevE.83.065201. Epub 2011 Jun 13.
Quantum tunneling rates through a barrier separating two-dimensional, symmetric, double-well potentials are shown to depend on the classical dynamics of the billiard trajectories in each well and, hence, on the shape of the wells. For shapes that lead to regular (integrable) classical dynamics the tunneling rates fluctuate greatly with eigenenergies of the states sometimes by over two orders of magnitude. Contrarily, shapes that lead to completely chaotic trajectories lead to tunneling rates whose fluctuations are greatly reduced, a phenomenon we call regularization of tunneling rates. We show that a random-plane-wave theory of tunneling accounts for the mean tunneling rates and the small fluctuation variances for the chaotic systems.
穿过分隔二维对称双阱势垒的量子隧穿率被证明取决于每个阱中弹子球轨迹的经典动力学，因此也取决于阱的形状。对于导致规则（可积）经典动力学的形状，隧穿率随状态的本征能量大幅波动，有时波动幅度超过两个数量级。相反，导致完全混沌轨迹的形状会使隧穿率的波动大幅减小，我们将这种现象称为隧穿率的正则化。我们表明，一种随机平面波隧穿理论可以解释混沌系统的平均隧穿率和小波动方差。
