Fast-forward scaling theory for nonadiabatic transitions

Many quantum technologies are realized by using time-dependent quantum control. Control speed is a very important factor for realizing such quantum technologies since decoherence is inevitable in quantum systems. However, simple speed-up of time-dependent driving changes the amount of nonadiabatic transitions and it results in different measurement outcomes. It is also a problem from the viewpoint of quantum simulation of nonadiabatic phenomena. The fast-forward scaling theory was proposed as a method for changing time scale of given dynamics without changing measurement outcomes.

In this talk, we consider application of the fast-forward scaling theory to nonadiabatic transitions. We derive mathematical expression of additional driving for realizing time rescaling and also show another formula for calculating additional driving. Moreover, we discuss relation between the present results and shortcuts to adiabaticity by counterdiabatic driving. The present result brings new insights into the research field of shortcuts to adiabaticity beyond speeding-up of adiabatic time evolution.