Stark localization of interacting particles

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Wojciech De Roeck, Amirali Hannani, Alessio Lerose, Nathan Vandenbosch
DOI: 10.48550/arxiv.2602.23352
Cited by: 0

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.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Advanced Mathematical Physics Problems Quantum many-body systems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 February 2026
Language
EN
Document type
Preprint