Using a conventional Hall-bar geometry with a micrometal strip on top of the surface, the authors demonstrate an electrical coherent control of nuclear spins in an AlGaAs/GaAs semiconductor heterostructure. A breakdown of integer quantum Hall (QH) effect is utilized to dynamically polarize nuclear spins. By applying a pulse rf magnetic field with the metal strip, the quantum state of the nuclear spins shows Rabi oscillations, which is detected by measuring longitudinal voltage of the QH conductor.
PACS numbers: Valid PACS appear hereFor quantum information processing, it is essential to control quantum states without destroying their coherence. Since nuclear spins have extremely long coherence times arising from weak couplings with their environments, application of the nuclear spins as quantum bits (qubits) has been discussed. [1,2] In fact, Vandersypen et al.[3] demonstrated seven-qubit quantum computation using nuclear magnetic resonance (NMR) of liquid-state molecules. In a solid, though it is difficult to individually access and manipulate a single nuclear spin in practice, a theoretical study suggests that ensemble of nuclear spins can be utilized collectively as a long-lived quantum memory for qubits. [4] In AlGaAs/GaAs semiconductor devices, the ensemble of nuclear spins is often polarized by flip-flop processes of electron and nuclear spins via the hyperfine interaction. [5,6,7,8,9] By combining a pulse rf NMR technique with dynamic nuclear polarization (DNP) along spin-resolved quantum Hall (QH) edge channels, we have achieved electrical coherent manipulation of their quantum states.[6] Recently, Yusa et al. [7] also demonstrated coherent manipulation of nuclear-spin ensemble using a fractional QH bulk region of Landau-level filling factor ν = 2/3, where the electron system is separated into spin-polarized and spin-unpolarized domain structures due to competition between Zeeman energy and Coulomb exchange interaction. [8,9] Their study reported multiple quantum coherence of nuclear spins.In this letter, in order to dynamically polarize nuclear spins, we utilize a breakdown regime of integer QH effect of ν = 1, in which the mechanism of the DNP is clear.[10] Using a conventional Hall-bar sample made of an AlGaAs/GaAs semiconductor, we demonstrate coher- * Electronic mail: tmachida@iis.u-tokyo.ac.jp † Also at INQIE, University of Tokyo.ent manipulation of the quantum state of nuclear spins; by combining a pulse rf NMR technique with the DNP, we observe evident Rabi oscillations.A Hall-bar device we studied here was fabricated on an Al 0.35 Ga 0.65 As/GaAs single heterostructure with an electron mobility of 220 m 2 /V s and a sheet electron density of 1.6 × 10 15 m −2 . Figure 1