Martin Richter

University of Nottingham, School of Mathematical Sciences


A microwave realization of the chiral orthogonal, unitary, and symplectic ensembles


Mathematical Physics Seminar


15th November 2019, 2:00 pm – 3:00 pm
Fry Building, 2.04


Random matrix theory has proven very successful in the understanding of the spectra of chaotic systems. Depending on symmetry with respect to time reversal and the presence or absence of a spin 1/2 there are three ensembles, the Gaussian orthogonal (GOE), Gaussian unitary (GUE), and Gaussian symplectic (GSE) one. With a further particle-antiparticle symmetry the chiral variants of these ensembles, the chiral orthogonal, unitary, and symplectic ensembles (the BDI, AIII, and CII in Cartan's notation) appear. A microwave study of the chiral ensembles is presented using a linear chain of evanescently coupled dielectric cylindrical resonators [1]. In all cases the predicted repulsion behaviour between positive and negative eigenvalues for energies close to zero could be verified.

[1] https://arxiv.org/abs/1909.12886





Organiser: Nick Jones

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