How Do You See Interference Between Independent Lasers?
[T]his is traditionally done with a single laser and two slits. In principle, you ought to be able to do it with two completely independent lasers of the same wavelength, and see an interference pattern that way. In practice, though, this is very hard to do, as the phase difference between two independent lasers will jump around randomly at a very high rate. At any given instant, the two lasers will interfere with each other to make a nice double-slit pattern, but the positions of the bright and dark spots will shift around randomly, so fast that your eye can’t follow them.