Ehrenfest-time dependence of quantum transport corrections and spectral statistics.
Ehrenfest-time dependence of quantum transport corrections and spectral statistics.
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量子输运校正和光谱统计的埃伦菲斯特时间依赖性。
DOI：
10.1103/physreve.82.066205
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
J. Kuipers
中科院分区：
文献类型：
--
作者：
D. Waltner;J. Kuipers
量子输运中的ehrenfest时间尺度将经典传播与波干涉本质上分开，这里我们考虑它对通过量子点的传输和反射的影响。特别是，我们计算了次领先阶量子修正对直流和交流输运的传输和反射的ehrenfest时间依赖性，并检查了我们的结果与当前的守恒关系是一致的。通过观察封闭系统中的光谱统计，我们最终证明了这里分析的贡献如何意味着计算中的变化，这是由browwer [Phys]给出的。Rev. E 74, 066208(2006)]，光谱形状因子的次领先顺序。我们的半经典结果与Tian和Larkin [Phys]的结果一致。[j] .计算机工程学报，2000,21(5):444 - 444。
The Ehrenfest-time scale in quantum transport separates essentially classical propagation from wave interference and here we consider its effect on the transmission and reflection through quantum dots. In particular, we calculate the Ehrenfest-time dependence of the next-to-leading-order quantum corrections to the transmission and reflection for dc and ac transport and check that our results are consistent with current conservation relations. Looking as well at spectral statistics in closed systems, we finally demonstrate how the contributions analyzed here imply changes in the calculation, given by Brouwer [Phys. Rev. E 74, 066208 (2006)], of the next-to-leading order of the spectral form factor. Our semiclassical result coincides with the result obtained by Tian and Larkin [Phys. Rev. B 70, 035305 (2004)] by field-theoretical methods.