2023/05/08 by Merlin, R.
#Classical Physics (physics.class-ph) #FOS: Physical sciences #Other Condensed Matter (cond-mat.other)
paper · doi:10.48550/arxiv.2305.11880
The classical motion of a one-dimensional chain of atoms coupled through a specific force function that depends on position shows features very similar to the Wannier-Stark problem of a quantum particle under the combined effects of a periodic lattice potential and a constant electric field. Both problems exhibit localized modes and a ladder of equally-spaced eigenfrequencies, leading to temporal dynamics characterized by periodic oscillations.