OK I'll give it a shot,but this is just the way I understand it and I'm neither an engineer om a mechanic................however I do play both from time to time

there are a couple of things that multiply the mechanical advantage of the turbo first is the size difference between the turbine wheel and the compressor wheel approximately 2-1 with the turbine being smaller second the volume of exhaust gas generated is greater add to that greater volume the energy of the waste heat in that greater volume of gas there is your gain.The newer generation of wheels on both the hot and cold sides also have much better designed blade geometry thanks to the increase in computer power it's a lot easier to model what is going on inside the housings...........so boost pressures well above drive pressures are the norm in a properly matched turbo/engine combo giving us the performance and fuel efficiency that we all love.
This is just my two cents as I've come to understand things.........so If I'm not grasping it all I'm all ears for input from those that grasp this better than I do.