Testing Models of Quasar Hosts With Strong Gravitational Lensing by
  Quasar Hosts
  We perform a statistical analysis of strong gravitational lensing by quasar
hosts of background galaxies, in the two competing models of dark matter halos
of quasars, HOD and CS models. Utilizing the BolshoiP Simulation we demonstrate
that strong gravitational lensing provides a potentially very powerful test of
models of quasar hosting halos. For quasars at $z=0.5$, the lensing probability
by quasars of background galaxies in the HOD model is higher than that of the
CS model by two orders of magnitude or more for lensing image separations in
the range of $\theta\sim 1.2-12~$arcsec. To observationally test this, we show
that, as an example, at the depth of the CANDELS wide field survey and with a
quasar sample of $1000$ at $z=0.5$, the two models can be differentiated at
$3-4\sigma$ confidence level.
