Regensburg 2019 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 37: Quantum Chaos

DY 37.2: Vortrag

Mittwoch, 3. April 2019, 15:45–16:00, H6

Towards universal Hong-Ou-Mandel correlations in topological insulators — •Andreas Bereczuk, Juan Diego Urbina, Cosimo Gorini, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg, Germany

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 predicted by Random Matrix Theory (RMT) [4] and semiclassical analysis enter. Here we present an analytical and numerical study of these correlations and 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). In this new setup where both TIs and normal metal scattering take place, the issue of the appropriate symmetry of the universality class requires further analysis.

[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)

[4] M. Novaes, J. Math. Phys. 57, 122105 (2016)