Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 44: Quantum Chaos (joint session DY/TT)

TT 44.12: Vortrag

Mittwoch, 18. März 2020, 18:15–18:30, HÜL 186

Towards universal Hong-Ou-Mandel correlations in topological insulators — •Andreas Bereczuk1, Juan Diego Urbina1, Barbara Dietz2, Jack Kuipers3, Cosimo Gorini1, and Klaus Richter11Institut of Theoretical Physics, University Regensburg, Germany — 2School of Physical Science and Technology, Lanzhou University, China — 3Department of Biosystems Science and Engineering (BSSE), ETH Zurich, Switzerland

The indistinguishable-distinguishable transition for the transmission probability for two fermions propagating through a quantum point contact is a known manifestation of the celebrated Hong-Ou-Mandel (HOM) effect [1] in electron quantum optics [2]. As shown in [3], universal HOM correlations are expected by substituting the quantum point contact by a chaotic cavity in a mesoscopic regime [3] where universal correlations of the scattering matrix entries at different energies enter. We present here a consistent semiclassical, numerical and Random Matrix Theory (RMT) analysis of this correlators together we a progress report on its experimental realization in a microwave billard. With this results at hand, we propose a HOM setup with cavities as complex beam splitters and edge states instead of waveguides to observe universal HOM correlations in a topological insulators (TI).

[1] C. K. Hong, Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 59,

  2044 (1987)

[2] E. Bocquillon et al., Annalen der Physik 526, 1 (2014)

[3] J. D. Urbina et al., Phys. Rev. Lett. 116, 100401 (2016)

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