  We study the dynamics of a general multi-emitter system coupled to the
squeezed vacuum reservoir and derive a master equation for this system based on
the Weisskopf-Wigner approximation. In this theory, we include the effect of
positions of the squeezing sources which is usually neglected in the previous
studies. We apply this theory to a quasi-one-dimensional waveguide case where
the squeezing in one dimension is experimentally achievable. We show that while
dipole-dipole interaction induced by ordinary vacuum depends on the emitter
separation, the two-photon process due to the squeezed vacuum depends on the
positions of the emitters with respect to the squeezing sources. The dephasing
rate, decay rate and the resonance fluorescence of the waveguide-QED in the
squeezed vacuum are controllable by changing the positions of emitters.
Furthermore, we demonstrate that the stationary maximum entangled NOON state
for identical emitters can be reached with arbitrary initial state when the
center-of-mass position of the emitters satisfies certain condition.
