Counter-diabatic field

Demirplak and Rice developed the counter-diabatic control protocol while studying control methods that efficiently transfer population between a selected initial state and a selected target state of an isolated molecule [11-13]. The protocol has been studied for manipulation of atomic and molecular states [11, 12, 19] and spin chain systems [20, 21]. Experiments with the counter-diabatic protocol have been demonstrated for the control of BECs [22] and the electron spin of a single nitrogen-vacancy center in diamond [23]. The counter-diabatic field (CDF) protocol is identical with the transitionless driving protocol, independently proposed by Berry a few years later [24]. A discussion of the relationship between these approaches and several of the other proposed shortcuts to adiabaticity can be found in the review by Torrontegui and coworkers [10]. 

S. Masuda and S. A. Rice. Selective vibrational population transfer using combined STIRAP and counter-diabatic fields. J. Phys. Chem. C, (2014), DOI 10.1021/jp507923s. 

Suppose now that either the pulsed field duration or the field strength must be restricted to avoid exciting unwanted process that compete with the desired population transfer, with the consequence that condition (3.71) cannot be met. In an actual SCCI2 molecule //jg is nonzero, although it is one order of magnitude smaller than //j 9 and //5a 9 as mentioned. This situation prompts us to seek a CDF that restores the adiabatic population transfer. The counter-diabatic Hamiltonian for //rwa(0 ill Eq- (3.68) is obtained by using Eqs. (3.7) and (3.70) it is [11]... 

Although ordinary STIRAP becomes less effective if the interval between the Stokes and pump lasers is small, higher efficiency is obtained by using shorter T2p - T 25 in the STIRAP + CDF control process. The width of the counter-diabatic pulse field becomes large for small 72... 

---