Semiclassical approach to mesoscopic quantum transport and spectral statistics

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• Dr Sebastian Müller, University of Bristol
• Thursday 17 March 2011, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Dr Dimitri M Gangardt.

I will give an overview over recent research on the transport properties and spectral statistics of chaotic quantum systems. In a semiclassical approach these properties can be expressed through multiple sums over classical trajectories with phase factors that account for interference effects. Systematic contributions to these multiple sums arise from correlated trajectories. Examples are pairs of trajectories where one trajectory contains a small-angle crossing, whereas its partner narrowly avoids this crossing. By systematically studying such correlations we show that the conductance of time reversal invariant chaotic conductors displays weak localisation corrections in agreement with results from random matrix theory and disordered systems. We also show that the spectral statistics of chaotic quantum systems is faithful to predictions from random matrix theory. Apart from studying correlations of classical periodic orbits, the latter result requires a careful implementation of the semiclassical limit preserving the unitarity of the quantum mechanical time evolution.

This talk is part of the Theoretical Physics Seminars series.

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• Bham Talks
• Theoretical Physics Seminars
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