Dr. Robert Whitney Profile

Dr. Robert Whitney

at Institut Laue-Langevin

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Proceedings Article | 8 June 2007 Paper

Shot-noise of quantum chaotic systems in the classical limit

Robert Whitney

Proceedings Volume 6600, 66000R (2007) https://doi.org/10.1117/12.724670

KEYWORDS: Lead, Complex systems, Particles, Scattering, Quantum dots, Quantum chaos, Electrons, Quantum mechanics, Picosecond phenomena, Quantum physics

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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].

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