A lab-created emerald is a real emerald but not a natural emerald. Synthetic emeralds are some of the most expensive synthetic gems. The methods used to create them in labs require expensive equipment. The process is slow and energy intensive, and the yield of facetable material is low.
However, synthetic emeralds are MUCH less expensive when matched for size and quality against natural emeralds. Our Columbia green emerald is created by the method of Hydrothermal synthesis.
In brief, a synthetic or lab-created emerald will have the same chemical, physical, and optical properties as a natural emerald.