Stark localization of interacting particles

TL;DR

This paper proves that superexponential Stark localization, previously known for a single particle, persists for multiple interacting particles in a one-dimensional lattice with a linear potential.

Contribution

It extends the understanding of Stark localization to many-body systems with interactions, showing superexponential spectral localization for all N and interaction strengths.

Findings

Superexponential localization for N=1

Persistence of localization for arbitrary N

Localization independent of interaction strength

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.