Regensburg 2019 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 53: Poster Quantum Systems
DY 53.4: Poster
Donnerstag, 4. April 2019, 15:00–18:00, Poster B2
A microwave realization of the chiral GOE — •Aimaiti Rehemanjiang1, Martin Richter2,3, Ulrich Kuhl2, and Hans-Jürgen Stöckmann1 — 1Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany — 2InPhyNi, Université Côte d’Azur, 06100 Nice, France — 3School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK
The universal features of the spectra of chaotic systems are well reproduced by the corresponding quantities of the random matrix ensembles [1]. 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), the Gaussian unitary (GUE), and the Gaussian symplectic ensemble (GSE). With a further particle-antiparticle symmetry there are in addition the chiral variants of these ensembles [2]. Relativistic quantum mechanics is not needed to realize the latter symmetry. A tight-binding system made up of two subsystems with only interactions between the subsystems but no internal interactions, such as a graphene lattice with only nearest neighbor interactions, will do it as well. First results of a microwave realization of the chiral GOE (the BDI in Cartan’s notation) will be presented, where the tight-binding system has been constructed by a lattice made up of dielectric cylinders [3].
[1] O. Bohigas, M. J. Giannoni, and C. Schmit.
PRL 52, 1 (1984).
C. W. J. Beenakker.
Rev. Mod. Phys. 87, 1037 (2015).
S. Barkhofen, M. Bellec, U. Kuhl, and F. Mortessagne.
PRB 87, 035101 (2013).