Nuclear state preparation via Landau-Zener-Stückelberg transitions in double quantum dots

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We theoretically model a nuclear-state preparation scheme that increases the coherence time of a two-spin qubit in a double quantum dot. The two-electron system is tuned repeatedly across a singlet-triplet level-anticrossing with alternating slow and rapid sweeps of an external bias voltage. Using a Landau-Zener-St¨uckelberg model, we find that in addition to a small nuclear polarization that weakly affects the electron spin coherence, the slow sweeps are only partially adiabatic and lead to a weak nuclear spin measurement and a nuclear-state narrowing which prolongs the electron spin coherence. This resolves some open problems brought up by a recent experiment. Based on our description of the weak measurement, we simulate a system with up to n = 200 nuclear spins per dot. Scaling in n indicates a stronger effect for larger n.

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ISO 690RIBEIRO, Hugo, Guido BURKARD, 2009. Nuclear state preparation via Landau-Zener-Stückelberg transitions in double quantum dots
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@unpublished{Ribeiro2009Nucle-9014,
  year={2009},
  doi={10.1103/PhysRevLett.102.216802},
  title={Nuclear state preparation via Landau-Zener-Stückelberg transitions in double quantum dots},
  author={Ribeiro, Hugo and Burkard, Guido},
  note={Also publ. in: Physical Review Letters ; 102 (2009), 21. - 216802}
}
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Also publ. in: Physical Review Letters ; 102 (2009), 21. - 216802
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