Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 34: Focus Session: Fluids with Broken Time-Reversal Symmetry – Odd/Hall Viscosity Between Active Matter and Electron Flows

DY 34.10: Vortrag

Mittwoch, 11. März 2026, 12:15–12:30, ZEU/0160

The chiral random walk: A model for odd transport on the lattice — Jan Wójcik¹ and •Erik Kalz² — ¹Institute of Theoretical Physics and Astrophysics, University of Gdánsk, 80-308 Gdánsk, Poland — ²Institute of Physics and Astronomy, University of Potsdam, 14476 Potsdam, Germany

We present a model for an isotropic chiral random walk on a lattice. Inspired by the quantum random walk framework, we equip the walker with an internal degree of freedom representing chirality and show, both numerically and analytically, that this model resembles odd transport properties on the continuum level. Chirality further acts as a control parameter, and the model resembles unitary transport in the strong-chirality regime. Building on established results from Quantum Random Walk theory, we analyse features such as topologically protected transport in this limit. We find that this qualitative persists also into the dissipative regime, allowing us to theoretically ground edge-transport phenomena, characteristics of dissipative odd systems. We illustrate our approach in spatially confined geometries and in systems with random chirality.

Keywords: quantum random walk; odd diffusion; chiral random walk; topologically protected transport; edge states