Localization Bounds for Multiparticle Systems

@article{Aizenman2008LocalizationBF,
title={Localization Bounds for Multiparticle Systems},
author={Michael Aizenman and Simone Warzel},
journal={Communications in Mathematical Physics},
year={2008},
volume={290},
pages={903-934}
}
• Published 19 September 2008
• Physics
• Communications in Mathematical Physics
We consider the spectral and dynamical properties of quantum systems of n particles on the lattice $${\mathbb{Z}^d}$$ , of arbitrary dimension, with a Hamiltonian which in addition to the kinetic term includes a random potential with iid values at the lattice sites and a finite-range interaction. Two basic parameters of the model are the strength of the disorder and the strength of the interparticle interaction. It is established here that for all n there are regimes of high disorder, and/or…
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