5 papers
Schrödinger's real-valued equation revisited
Oliver Passon, Bernd Rosenow
The Schrödinger equation can be rewritten as a second-order equation for a single real-valued scalar field. Taken at face value, however, this one-field reduction obscures several…
Anyon Exchange Phase from Antidot Interferometry
Matthias Thamm, Felix Puster, Bernd Rosenow
Quasiparticles in fractional quantum Hall systems are anyons, carrying a fraction of the electron charge. Exchanging two of them gives rise to a fractional exchange phase. While th…
Learning Dynamics of Chain-of-Thought State Tracking in a Solvable Transformer Model
Niklas Forner, Marcel Kühn, Matthias Thamm +1
Chain-of-thought generation can turn a multi-step computation into a sequence of locally checkable state updates, but the training dynamics by which transformers acquire such updat…
Extracting the Anyonic Exchange Phase from Hanbury Brown-Twiss Correlations
Felix Puster, Matthias Thamm, Bernd Rosenow
In recent years, interferometry experiments in fractional quantum Hall devices have reported signatures of a fractional braiding phase for quasiparticles. It was noted, however, th…
Braids and Beams: Exploring Fractional Statistics with Mesoscopic Anyon Colliders
Bernd Rosenow, Bertrand I. Halperin
Anyon colliders -- quantum Hall devices where dilute quasiparticle beams collide at a quantum point contact -- provide an interferometer-free probe of anyonic exchange phases throu…