Majorana representation of adiabatic and superadiabatic processes in three-level systems

Shruti Dogra*, Antti Vepsalainen, G. S. Paraoanu

*Tämän työn vastaava kirjoittaja

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

14 Lataukset (Pure)

Abstrakti

We show that stimulated Raman adiabatic passage (STIRAP) and its superadiabatic version (saSTIRAP) have a natural geometric two-star representation on the Majorana sphere. In the case of STIRAP, we find that the evolution is confined to a vertical plane. A faster evolution can be achieved in the saSTIRAP protocol, which employs a counterdiabatic Hamiltonian to nullify the nonadiabatic excitations. We derive this Hamiltonian in the Majorana picture, and we observe how, under realistic experimental parameters, the counterdiabatic term corrects the trajectory of the Majorana stars toward the dark state. We also introduce a spin-1 average vector and present its evolution during the two processes, demonstrating that it provides a measure of nonadiabaticity. We show that the Majorana representation can be used as a sensitive tool for the detection of process errors due to ac Stark shifts and nonadiabatic transitions. Finally, we provide an extension of these results to mixed states and processes with decoherence.

AlkuperäiskieliEnglanti
Artikkeli043079
Sivumäärä12
JulkaisuPHYSICAL REVIEW RESEARCH
Vuosikerta2
Numero4
DOI - pysyväislinkit
TilaJulkaistu - 15 lokakuuta 2020
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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