"Jet lag, medically referred to as desynchronosis, is a physiological condition which results from alterations to the body's circadian rhythms; it is classified as one of the circadian rhythm sleep disorders. Jet lag results from rapid long-distance transmeridian (east–west or west–east) travel, as on a jet plane."
Dream lag which is not medically referred to as anything is a psychological condition which results from alterations to the mind's state when awaking from a deep and dreamy sleep. Your consciousness is not able to fully apprehend whether you're still dreaming or you're awake. Or maybe you weren't dreaming before and now you're living a nightmare. This condition is not reported anywhere, but everyone has felt it at least once. Dream lag results from long-distance trips while dreaming.. However it must be noted that distance while dreaming is a relative term. You can dream for 5 seconds and travel amazing distances, or dream for 1 day and stay at one place. Don't be fooled by usual metrics.
Personally, for me, there's certainly one day per week that I need 2 hours in work to realize I'm awake and that this thing is life. Usually my dreams are better to live in, the problem however is that I don't remember them. I'm pretty sure though that they include a lot of dates. Dates and songs and movies. And love.