Shot-noise of quantum chaotic systems in the classical limit

Robert S. Whitney

doi:10.1117/12.724670

8 June 2007 Shot-noise of quantum chaotic systems in the classical limit

Robert S. Whitney

Proceedings Volume 6600, Noise and Fluctuations in Circuits, Devices, and Materials; 66000R (2007) https://doi.org/10.1117/12.724670
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

Abstract

Semiclassical trajectory-based methods can now explain mesoscopic effects (shot-noise, conductance fluctuations, etc) in clean chaotic systems, such as chaotic quantum dots. In the deep classical limit (wavelength much less than system size) the Ehrenfest time (the time for a wavepacket to spread to a classical size) plays a crucial role, and random matrix theory (RMT) ceases to be applicable to the transport properties of open chaotic systems. Here we summarize some of our recent results for shot-noise (intrinsically quantum 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 on the leads to show that the transmission eigenvalues are all 0 or 1-so transmission is noiseless [Whitney-Jacquod, Phys. Rev. Lett. 94, 116801 (2005), Jacquod-Whitney, Phys. Rev. B 73, 195115 (2006)]. For systems with tunnel-barriers on the leads we use trajectory-based semiclassics to extract universal (but non-RMT) shot-noise results for the classical regime [Whitney, cond-mat/0612122].

Citation Download Citation

Robert S. Whitney "Shot-noise of quantum chaotic systems in the classical limit", Proc. SPIE 6600, Noise and Fluctuations in Circuits, Devices, and Materials, 66000R (8 June 2007); https://doi.org/10.1117/12.724670

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