  We propose a method of generating and detecting entanglement in two spatially
separated excitonpolariton Bose-Einstein condensates (BECs) at steady-state. In
our scheme we first create a spinor polariton BEC, such that steady-state
squeezing is obtained under a one-axis twisting interaction. Then the
condensate is split either physically or virtually, which results in
entanglement generated between the two parts. A virtual split means that the
condensate is not physically split, but its near-field image is divided into
two parts and the spin correlations are deduced from polarization measurements
in each half. We theoretically model and examine logarithmic negativity
criterion and several correlation-based criteria to show that entanglement
exists under experimentally achievable parameters.
