光滑连接抛物势中的耗散量子隧穿
Quantum tunneling with dissipation in smoothly joined parabolic potential
摘要：
本文在Lindblad量子开放系统方法的框架下研究了团簇衰变现象中的量子耗散。亚稳态穿越分段二次势的隧穿被设想为两种情况：一个和两个谐波阱平滑地连接到一个模拟势垒的倒抛物线。的宽度和深度的二次谐波振荡器以及在很宽的范围内的值变化，以涵盖特殊情况下的隧道效应，如双势阱和集群衰变。量子子系统的平均值和协方差的演化研究在下和过阻尼制度。对于高斯初始波包，我们计算了不同摩擦系数值和固定扩散系数值时的隧穿几率。
英文摘要：
This paper is devoted to the study of quantum dissipation in cluster decay phenomena in the frame of the Lindblad approach to quantum open systems. The tunneling of a metastable state across a piecewise quadratic potential is envisaged for two cases : one and two harmonic wells smoothly joined to an inverted parabola which simulates the barrier. The width and depth of the second harmonic oscillator well was varied over a wide range of values in order to encompass particular cases of tunneling such as the double well potential and the cluster decay. The evolution of the averages and covariances of the quantum sub-system is studied in both under- and overdamped regimes. For a gaussian intial wave-packet we compute the tunneling probability for different values of the friction coefficient and fixed values of the diffusion coefficients.
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