# Low-energy Fock-space localization for attractive hard-core particles in disorder

## TL;DR

This paper demonstrates Fock-space localization in a disordered one-dimensional quantum system with attractive interactions, showing exponential decay of correlations regardless of particle number.

## Contribution

It establishes a high-disorder localization result for hard-core particles with attractive interactions, extending localization theory to many-particle systems with spectral analysis insights.

## Key findings

- Exponential decay of the two-point function in the infinite system.
- Localization persists uniformly across different particle numbers.
- Application of Combes-Thomas estimate and effective one-particle analysis.

## Abstract

We study a one-dimensional quantum system with an arbitrary number of hard-core particles on the lattice, which are subject to a deterministic attractive interaction as well as a random potential. Our choice of interaction is suggested by the spectral analysis of the XXZ quantum spin chain. The main result concerns a version of high-disorder Fock-space localization expressed here in the configuration space of hard-core particles. The proof relies on an energetically motivated Combes-Thomas estimate and an effective one-particle analysis. As an application, we show the exponential decay of the two-point function in the infinite system uniformly in the particle number.