Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos

DY 23.7: Talk

Tuesday, March 13, 2018, 11:45–12:00, EB 107

Universal symmetry classes in three-terminal microwave graphs — Angel M. Martínez-Argüello¹, •Aimaiti Rehemanjiang², Moises Martínez-Mares³, J. Antonio Méndez-Bermúdez¹, Hans-Jürgen Stöckmann², and Ulrich Kuhl^2,4 — ¹Instituto de Física, Benemérita Universidad Autónoma de Puebla, Puebla, Mexico — ²Fachbereich Physik der Philipps-Universität Marburg, Marburg, Germany — ³Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Mexico City, Mexico — ⁴Université Côte d’Azur, CNRS, Institut de Physique de Nice, Nice, France

In direct analogy between electrical conduction and transport through scattering devices [1], measurements of a classical analog of a quantum observable through three-terminal microwave graphs are performed. One of the ports is placed as input and a second one as output, while a third port is used as a probe. Exact analytical predictions show good agreement with the measurements in the presence of orthogonal and unitary symmetries, provided that the absorption and coupling strength to the graphs are taken into account. In addition, the symplectic symmetry was implemented using a recent realization of graphs with such a symmetry [2]. Notably, neither the power losses nor the coupling strengths spoil the signatures of the symplectic symmetry. This represents the first classical-transport experiment that mimics a spin 1/2 system.
[1] M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986).
[2] A. Rehemanjiang et al., Phys. Rev. Lett. 117, 064101 (2016).