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In this paper, we consider a class of two-particle tight-bindingHamiltonians, describing pairs of interacting quantum particles on the lattice$\Z^d$, $d\ge 1$ subject to a common external potential $V(x)$ which we assumequasi-periodic and depending on an auxiliary parameter. Such parametricfamilies of ergodic deterministic potentials ("grand ensembles") have beenintroduced earlier in \cite{C07}, in the framework of single-particle latticesystems, where it was proved that a non-uniform analog of the Wegner boundholds true for a class of quasi-periodic grand ensembles. Using the approachproposed in \cite{CS08}, we establish volume-dependent Wegner-type bounds for aclass of quasi-periodic two-particle lattice systems with a non-randomshort-range interaction.

Wegner-type bounds for a two-particle lattice model with a generic "rough" quasi-periodic potential