Dresden 2026 – scientific programme
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FM: Fachverband Funktionsmaterialien
FM 22: Focus Session: Materials Discovery III – New materials and functionalities by general principles
FM 22.6: Talk
Friday, March 13, 2026, 11:00–11:15, BEY/0138
Simulating the Schrödinger equation in anti-Hermitian electrical circuits — •Ivan Scolan1, Ronny Thomale2, Jasper Van Wezel3, Viktor Könye3, Ali Moghaddam4, Jeroen Van Den Brink1, and Joseph Dufouleur1 — 1Leibniz Institute for Solid State and Materials Research Dresden — 2Institute for Theoretical Physics and Astrophysics, University of Würzburg — 3Institute for Theoretical Physics Amsterdam — 4Faculty of Engineering and Natural Sciences, Tampere Finland
In recent years, a number of condensed matter lattice models have been realized using classical electric circuits, exploring topological phases hitherto inaccessible experimentally. In these previous works, the Hamiltonian of a system was implemented in a topo-electronic circuit, thus possessing the same spectrum as any equivalent condensed matter system, but the dynamics of the electronic circuit remained distinct from the quantum dynamics given by the Schrödinger equation. Here we propose a new way to realize electronic circuits that are equivalent to solid-state lattices based on anti-hermitian circuits the dynamic of which perfectly follows the Schrödinger dynamics.
Intrinsic symmetries of these circuits allow the experimental measurement of all eigenstates. Using this framework, we apply it to a 1D atomic chain with position-dependent hopping terms and experimentally retrieve the theoretical results presented in Mertens et al. (2022), Morice et al. (2021). Finally, we show how our method can be used to develop novel electronics which can be used for concrete applications and also for solving fundamental physics problems.
Keywords: topolectronics; metamaterial; analogue gravity; quantum dynamics