This article proposes a new method to entangle two spatially separated output
laser fields from an optomechanical cavity with a membrane in the middle. The
radiation pressure force coupling is used to modify the correlations between
the input and the output field quadratures. Then the laser fields at the
optomechanical cavity output are entangled using the quantum back-action
nullifying meter technique. The effect of thermal noise on the entanglement is
studied. For experimentally feasible parameters, the entanglement between the
laser fields survives upto room temperature.Comment: 14 pages, 4 figures, 68 reference