Stark localization of interacting particles
Mathematical Physics
2026-02-27 v1 Disordered Systems and Neural Networks
math.MP
Abstract
We consider N interacting quantum particles on a one-dimensional lattice, and subjected to an external linear potential. For N = 1, the corresponding Hamiltonian is explicitly diagonalizable, with superexponentially localized eigenstates. This is called Stark localization. We prove that superexponential spectral localization persists for arbitrary N and every interaction strength.
Cite
@article{arxiv.2602.23352,
title = {Stark localization of interacting particles},
author = {Wojciech De Roeck and Amirali Hannani and Alessio Lerose and Nathan Vandenbosch},
journal= {arXiv preprint arXiv:2602.23352},
year = {2026}
}