Semiclassical methods can now explain many mesoscopic effects (shot-noise,conductance fluctuations, etc) in clean chaotic systems, such as chaoticquantum dots. In the deep classical limit (wavelength much less than systemsize) the Ehrenfest time (the time for a wavepacket to spread to a classicalsize) plays a crucial role, and random matrix theory (RMT) ceases to apply tothe transport properties of open chaotic systems. Here we summarize some of our recent results for shot-noise (intrinsicallyquantum noise in the current through the system) in this deep classical limit.For systems with perfect coupling to the leads, we use a phase-space basis onthe leads to show that the transmission eigenvalues are all 0 or 1 -- sotransmission is noiseless [Whitney-Jacquod, Phys. Rev. Lett. 94, 116801 (2005),Jacquod-Whitney, Phys. Rev. B 73, 195115 (2006)]. For systems withtunnel-barriers on the leads we use trajectory-based semiclassics to extractuniversal (but non-RMT) shot-noise results for the classical regime [Whitney,Phys. Rev. B 75, 235404 (2007)].
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机译：半经典方法现在可以解释干净混沌系统中的许多介观效应（散粒噪声，电导波动等），例如混沌量子点。在深古典极限（波长远小于系统尺寸）中，埃伦菲斯特时间（波包扩散到古典尺寸的时间）起着至关重要的作用，而随机矩阵理论（RMT）不再适用于开放混沌系统的传输性质。在这里，我们总结了在这个深的经典极限中对于散粒噪声（系统中电流的本质上是量子噪声）的最新结果。对于与引线完美耦合的系统，我们在引线上使用相空间基础来表明传输特征值全为0或1-因此传输无噪声[Whitney-Jacquod，Phys。牧师94、116801（2005），Jacquod-Whitney，物理学。 B 73，195115（2006）。对于在导线上具有隧道屏障的系统，我们使用基于轨迹的半经典方法来提取经典方案的通用（但非RMT）散粒噪声结果[Whitney，Phys。 B 75，235404（2007）。
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