Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 2: Nonequilibrium Quantum Systems (joint session TT/DY)
DY 2.8: Talk
Monday, March 17, 2025, 11:30–11:45, H31
Long-range induced synchronization of Higgs oscillations in topological superconductors — Andreas Alexander Buchheit1, Benedikt Fauseweh2,3, and •Torsten Keßler4 — 1Saarland University, Department of Mathematics and Computer Science, Germany — 2TU Dortmund University, Department of Physics, Germany — 3German Aerospace Center (DLR), Cologne, Germany — 4Eindhoven University of Technology, Department of Mechanical Engineering, Netherlands
We investigate the impact of long-range electron-electron interactions on the non-equilibrium dynamics of unconventional superconductors. Using recently developed mathematical tools for the efficient treatment of longe-range interactions on lattices, we simulate the time evolution of a triplet superconductor with arbitrary power law interaction. Owing to the long-range interaction, a chiral phase with d+p symmetry emerges. We find that the long-range interaction stabilizes the Higgs oscillation in this phase. While the d-wave's initial mode decays rapidly, it begins to mirror the stable Higgs oscillation of the p-wave condensate part. Eventually, the two parts oscillate with a joint frequency. We demonstrate that this behavior can also be observed in the optical conductivity resulting from an external probe pulse.
Keywords: Topological superconductors; Longe-range interactions; Higgs Oscillations; Nonequilibrium dynamics