  Boundary driven quantum master equation for a general inhomogeneous
(non-integrable) anisotropic Heisenberg spin $1/2$ chain, or an equivalent
nearest neighbor interacting spinless fermion chain, is considered in the
presence of a strong external field $f$. We present an exact closed form
expression for large $f$ asymptotics of the current in the presence of pure
incoherent source and sink dissipation at the boundaries. In application we
demonstrate arbitrary large current rectification in the presence of
interaction.
