## GSE statistics without spinAdd to your list(s) Download to your calendar using vCal - Dr Sebastian MÃ¼ller, 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. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsTheoretical Physics Journal Club School of Chemistry Seminars SERENE Seminars## Other talksHodge Theory: Connecting Algebra and Analysis Perfect matchings in random sparsifications of Dirac hypergraphs Geometry of alternating projections in metric spaces with bounded curvature Modelling uncertainty in image analysis. The development of an optically pumped magnetometer based MEG system When less is more - reduced physics simulations of the solar wind |