A. Rehemanjiang
Microwave Realization of the Chiral Orthogonal, Unitary, and Symplectic Ensembles
Rehemanjiang, A.; Richter, M.; Kuhl, U.; St�ckmann, H.-J.
Authors
MARTIN RICHTER MARTIN.RICHTER@NOTTINGHAM.AC.UK
Assistant Professor in Applied Mathematics
U. Kuhl
H.-J. St�ckmann
Abstract
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. We exhibit a microwave setup based on a linear chain of evanescently coupled dielectric cylindrical resonators allowing us to study all three chiral ensembles experimentally. In all cases the predicted repulsion behavior between positive and negative eigenvalues for energies close to zero could be verified.
Citation
Rehemanjiang, A., Richter, M., Kuhl, U., & Stöckmann, H. (2020). Microwave Realization of the Chiral Orthogonal, Unitary, and Symplectic Ensembles. Physical Review Letters, 124(11), Article 116801. https://doi.org/10.1103/physrevlett.124.116801
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 24, 2020 |
Online Publication Date | Mar 16, 2020 |
Publication Date | Mar 20, 2020 |
Deposit Date | Nov 6, 2020 |
Publicly Available Date | Nov 20, 2020 |
Journal | Physical Review Letters |
Print ISSN | 0031-9007 |
Electronic ISSN | 1079-7114 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 124 |
Issue | 11 |
Article Number | 116801 |
DOI | https://doi.org/10.1103/physrevlett.124.116801 |
Keywords | General Physics and Astronomy |
Public URL | https://nottingham-repository.worktribe.com/output/5020482 |
Publisher URL | https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.116801 |
Additional Information | © 2020 American Physical Society. Preprint: https://arxiv.org/abs/1909.12886 |
Files
PhysRevLett.124.116801
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