Regensburg 2025 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 12: Quantum Coherence and Quantum Information Systems (joint session TT/DY)

DY 12.5: Talk

Tuesday, March 18, 2025, 10:45–11:00, H31

Of gyrators and anyons I - Anyons — •Oleksiy Kashuba, Ram Mummadavarapu, and Roman-Pascal Riwar — Peter Grünberg Institut, Forschungszentrum Jülich, 52425 Jülich, Germany

In recent years there have emerged various ideas to create and control topological excitations in superconducting devices. Notably, nontrivial Chern bands were predicted to exist in conventional multiterminal Josephson junctions, but the Chern number is yet to be experimentally verified, and the pathway towards feasible quantum hardware applications is unclear. In this talk, we show how generic multiterminal circuits can be expressed as gyrator networks with quantized gyration conductance, giving rise to anyonic excitations carrying q/p fractional fluxes (q, p integer), measurable via a fractional Aharonov-Casher phase. We further present concepts for error correction protocols, and quantum simulations of interacting fermionic (or generally anyonic) many-body systems---notably, introducing the possibility to mimic fractional quantum Hall physics or to implement local fermionic models that explicitly break the Wigner superselection rule. The latter indicates that a full understanding of multiterminal circuits will require grappling with a virtually unexplored class of parity-breaking quantum field theories.

Keywords: Topological flat bands; Circuit QED; Josephson effect; Band engineering; Andreev physics