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.
| Original language | English |
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| Pages (from-to) | 3143-3166 |
| Number of pages | 24 |
| Journal | Annales Henri Poincare |
| Volume | 18 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1 Oct 2017 |