Emulating Quantum Lattices with Water Waves

Author: Seitz, Nico

Affiliation: ITP3 University Stuttgart

Type: Poster

Display Dates: 22.07.2026 - 23.07.2026

Board: WT-051

Water waves provide an experimentally accessible platform for realizing analogues of solid-state systems, yet they remain comparatively underexplored from this perspective. By combining general techniques from physics with recent mathematical advances in water-wave theory, I construct models that closely parallel electronic systems. In particular, waves propagating over periodically modulated bottom profiles exhibit band structures with tunable gaps. Using Wannier functions, I derive tight-binding descriptions in direct analogy to crystalline solids. The effective parameters can be engineered via the bottom topography, enabling controlled emulation of certain solid-state phenomena. I have developed this formalism across several water-wave models and explicitly investigated bottom profiles that support Dirac cones.