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Recent work has shown that deploying two nondegenerate optical parametricamplifiers (NOPAs) separately at two distant parties in a coherent feedbackloop generates stronger Einstein-Podolski-Rosen (EPR) entanglement between twopropagating continuous-mode output fields than a single NOPA under same pumppower, decay rate and transmission losses. The purpose of this paper is toinvestigate the stability and EPR entanglement of a dual-NOPA coherent feedbacksystem under the effect of phase shifts in the transmission channel between twodistant parties. It is shown that, in the presence of phase shifts, EPRentanglement worsens or can vanish, but can be improved to some extent incertain scenarios by adding a phase shifter at each output with a certain valueof phase shift. In ideal cases, in the absence of transmission andamplification losses, existence of EPR entanglement and whether the originalEPR entanglement can be recovered by the additional phase shifters are decidedby values of the phase shifts in the path.

Effect of phase shifts on EPR entanglement generated on two propagating Gaussian fields via coherent feedback