Journal
PHYSICAL REVIEW RESEARCH
Volume 2, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.2.043079
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Funding
- Foundational Questions Institute Fund (FQXi) [FQXi-IAF19-06]
- European Union Horizon 2020 research and innovation program, FET Open QUARTET [862644]
- Academy of Finland [328193]
- Finnish Center of Excellence in Quantum Technology QTF [312296]
- Academy of Finland (AKA) [328193, 328193] Funding Source: Academy of Finland (AKA)
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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.
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