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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)].

Shot-noise of quantum chaotic systems in the classical limit