Nuclear spin state narrowing via gate-controlled Rabi oscillations in a double quantum dot

By D. Klauser, W. Coish, Daniel Loss. 2005

134 citations recorded by the source corpus.

We study spin dynamics for two electrons confined to a double quantum dot under the influence of an oscillating exchange interaction. This leads to driven Rabi oscillations between the parallel to up arrow down arrow < state and the parallel to down arrow up arrow < state of the two-electron system. The width of the Rabi resonance is proportional to the amplitude of the oscillating exchange. A measurement of the Rabi resonance allows one to narrow the distribution of nuclear spin states and thereby to prolong the spin decoherence time. Further, we study decoherence of the two-electron states due to the hyperfine interaction and give requirements on the parameters of the system in order to initialize in the parallel to up arrow down arrow < state and to perform a root SWAP operation with unit fidelity.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/e34a595f3250616884097c783bc2e253b046cbde

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Spin dynamics in semiconductors (2010, background): “29 It was proposed that high nuclear spin polarization [406] or state-narrowing of the nuclear distribution [407, 408] can markedly narrow the distribution of the Overhauser field and suppress the spin relaxation.”
Decoherence in solid-state qubits (2008, methodology): “[31] the narrowing is due to gate-controlled Rabi oscillations in a double quantum dot in which the exchange interaction oscillates, in Ref.”
Spins in few-electron quantum dots (2006, background): “This may require measuring BzN accurately and quickly, i.e. better than the initial uncertainty in BzN and in a time much shorter than tnuc (Giedke et al., 2006; Klauser et al., 2006; Stepanenko et al., 2006).”
Nuclear spin physics in quantum dots: an optical investigation (2012, methodology): “7, nuclear spins can also be coupled to each other by an indirect interaction mediated by the electron in the dot which has the form (Abragam, 1961; Klauser et al., 2006): Ĥind = ∑ i,j AiAj ωeZ Ŝz Î i +Î j − .”