SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 42: Poster III

Q 42.35: Poster

Wednesday, March 8, 2023, 16:30–19:00, Empore Lichthof

Second-order correlations of scattering electrons — •Florian Fleischmann¹, Mona Bukenberger², Raul Corrêa³, Anton Classen⁴, Simon Mährlein¹, Marc-Oliver Pleinert¹, and Joachim von Zanthier¹ — ¹Quantum Optics and Quantum Information, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany — ²Department of Environmental Systems Science, ETH Zürich, 8092 Zürich, Switzerland — ³Departamento de Física, Federal University of Minas Gerais, 31270-901 Belo Horizonte, Brazil — ⁴Department of Soil and Crop Sciences, Texas A&M University, TX 77843 College Station, USA

We investigate the spatial second-order correlation function of two scattering electrons in the far field. First, we consider semi-classically the effects of the Pauli exclusion principle and Coulomb repulsion on the expected correlation pattern. This is followed by a full quantum-mechanical treatment of the problem. For this, we separate the system into center-of-mass and relative coordinates in analogy to the hydrogen atom ansatz. While the center-of-mass system is described as a free particle, we solve the Coulomb scattering problem in the relative system. We expand the respective initial state of the electrons in the eigenstates of the scattering problem. After incorporating the time evolution, the function is evaluated in the far field. We show the formal solution to the problem and discuss the current state of the numerical investigations.