There have been some studies on this and the evidence suggests that it is real. I have had a few experiences myself which suggest the existence of telepathic links. Michael Persinger has been conducting research on this and, apparently, geomagnetic activity and the human telepathic potential are relative. Still, it is a bit early to say for sure that such is the case. This could explain/justify not just the seemingly shared dreams but also remote viewing. Perhaps our minds are quantum entangled?
"Empty cognizance of one taste, suffused with knowing, is your unmistaken nature, the uncontrived original state. when not altering what is, allow it to be as it is, and the awakened state is right now spontaneously present."