GSE statistics without spin

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• Dr Sebastian Müller, UoBristol
• Thursday 27 March 2014, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Kevin Ralley.

The statistical properties of the energy levels in chaotic systems are universal and agree with predictions from random matrix theory. Statistics agreeing with the Gaussian Symplectic Ensemble (GSE) have been predicted theoretically and observed numerically in numerous chaotic quantum systems. However in all these systems there has been one unifying feature: the combination of half-integer spin and time-reversal invariance. Here we provide an alternative mechanism for obtaining GSE statistics that is based on geometric symmetries of the quantum system and alleviates the need for spin. Specifically we propose an experimentally realizable quantum graph that accommodates scalar valued wavefunctions and has GSE spectral statistics. I will also discuss the general role of discrete geometric symmetries in quantum chaos and random matrix theory. It turns out that the spectral statistics of a symmetric system depends not only on its behaviour under time reversal but also on the properties of the symmetry group.

This talk is part of the Theoretical Physics Seminars series.

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• Bham Talks
• Theoretical Physics Seminars
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