SKM 2021 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 2: Quantum Chaos

DY 2.4: Talk

Tuesday, September 28, 2021, 11:15–11:30, H6

Chaos induced by interface produces universal Hong-Ou-Mandel correlations in topological insulators — •Andreas Bereczuk, Juan Diego Urbina, Cosimo Gorini, and Klaus Richter — Institut of Theoretical Physics, University Regensburg, Germany

The celebrated Hong-Ou-Mandel (HOM) effect [1] is a known coherent manifestation of the indistinguishable-distinguishable transition that is experimentally accessible through measurements of the transmission probability for two-body fermionic states propagating through a quantum point contact in electron quantum optics [2]. As shown in
[3, 4], universal HOM correlations are visible 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 numerical analysis of this correlators for a HOM setup with normal cavities playing the role of complex beam splitters and edge states of a topologiocal insulator instead of waveguides. Our main observation is the emergence of universal HOM correlations in this setup where chaotic dynamics is driven by the high reflectivity due to mode mismatch at the interfaces.

[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] A. Bereczuk et al., Phys. Rev. E 103, 052209 (2021)