Adiabatic processes in three-level systems

Three-level superadiabatic quantum driving

“…Appendix A deriving Ω d (t) in presence of a time dependence of the pump/Stokes field phases demonstrates that also in that case the H 1 13 (t) = 0 request cannot be satisfied. While the key role ofθ in controlling the nonadiabaticity of STIRAP was pointed out by several authors, see [18,21], we derive that theθ Rabi frequency coupling between initial and final states is strictly required in the sa-STIRAP realisation.…”

Cavity-state preparation using adiabatic transfer

“…As in the case of adiabatic transfer between atomic states [2,3,16], there is an eigenstate of this Hamiltonian with eigenvalue zero, given by…”

Adiabatic Processes in Quantum Optics

“…In Ref. [9] we show tha t the choi cë where the expansion hol ds i n the adi abati c l i mi t T ! 1 .…”

“…In our work [9], we i nv esti gated the no n adi aba ti c correcti ons to a STIR AP pro cess wi th pul sed coupl i ngs. We were indeed abl e to Ùnd the exp ected exponenti al b eha vi our o ver four orders o f magni tude i n the adi aba ti city ti m e scal e. Ho wever, f or very l arg e values o f T , the correcti ons sta rt to oscil l ate vi ol entl y. Thi s feature is no t expl ai ned wi thi n the existi ng theo ry but i t i s found to b e a p ersistent feature of such system s. In an ana l yti cal l y sol vable mo del of the STIR AP , Vi ta no v and Stenho l m [10] mana ged to obta i n an adi aba ti c result of the typ e where the pa ra meters Ê and T denote the streng th and the dura ti on of the i ntera cti on.…”

“…If thi s occurs i n the˜-th deri vati ve, a nd the adi abati c ti m e scal e i s gi ven by T , the correcti ons to the adi abati c resul t di sapp ears l i ke T À (˜+1 ) as found i n R ef. [8]; see al so [9].…”