Berlin 2012 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 24: Quantum Chaos II
DY 24.4: Talk
Thursday, March 29, 2012, 12:15–12:30, MA 001
Spectral properties of rectangular microwave Dirac billiard — •Maksym Miski-Oglu1, Stefan Bittner1, Barbara Dietz1, and Achim Richter2 — 1Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany — 2ECT*, Villa Tambosi, I-38123 Villazzano (Trento), Italy
A spectrum of a superconducting flat microwave Dirac billiard has been measured. The microwave billiard is filled with metallic cylinders which form a photonic crystal with a triangular lattice. In the vicinity of a certain frequency, called the Dirac frequency, the dispersion relation for electromagnetic waves in a photonic crystal is similar to that of a relativistic massless fermion and is described by the Dirac equation. The measurement with a superconducting Dirac billiard allows to obtain experimentally the complete spectrum of eigenvalues and to investigate therewith the level statistics of the corresponding relativistic Dirac billiard. Furthermore the length spectrum of the classical periodic orbits has been extracted from the spectrum of eigenvalues and compared to semiclassical predictions.
This work has been supported within the DFG grant SFB634.