The theory of coherent dynamic nuclear polarization in quantum dots

Abstract

We consider the dynamic nuclear spin polarization (DNP) using two electrons in a double quantum dot in presence of external magnetic field and spin-orbit interaction, in various schemes of periodically repeated sweeps through the S-T+ avoided crossing. By treating the problem semi-classically, we find that generally the DNP have two distinct contributions - a geometrical polarization and a dynamic polarization, which have different dependence on the control parameters such as the sweep rates and waiting times in each period. Both terms show non-trivial dependence on those control parameter. We find that even for small spin-orbit term, the dynamical polarization dominates the DNP in presence of a long waiting period near the S-T+ avoided crossing, of the order of the nuclear Larmor precession periods. A detailed numerical analysis of a specific control regime can explain the oscillations observed by Foletti et.~al.~in arXiv:0801.3613.

22 pages, 6 figures

References in corpus (14)

• Coherent control of a single electron spin with electric fields
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Spin-echo of a single electron spin in a quantum dot
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Experimental signature of phonon-mediated spin relaxation
• Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Nuclear State Preparation via Landau-Zener-Stueckelberg transitions in Double Quantum Dots
• Spin decoherence due to a randomly fluctuating spin bath
• Electron-nuclear dynamics in a quantum dot under non-unitary electron control
• Superradiance-like Electron Transport through a Quantum Dot
• Many-body singlets by dynamic spin polarization

Cited by in corpus (14)

• Semiconductor Spin Qubits
• Quenching of dynamic nuclear polarization by spin-orbit coupling in GaAs quantum dots
• Two-Qubit Couplings of Singlet-Triplet Qubits Mediated by One Quantum State
• Theory of dynamic nuclear polarization and feedback in quantum dots
• Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits
• Interplay of spin-orbit and hyperfine interactions in dynamical nuclear polarization in semiconductor quantum dots
• Characterisation of an exchange-based two-qubit gate for resonant exchange qubits
• Narrowing of the Overhauser field distribution by feedback-enhanced dynamic nuclear polarization
• Balancing coherent and dissipative dynamics in a central-spin system
• Characterization of S-T${}_{+}$ Transition Dynamics via Correlation Measurements
• Driven dynamics of a quantum dot electron spin coupled to bath of higher-spin nuclei
• Multistability and spin diffusion enhanced lifetimes in dynamic nuclear polarization in a double quantum dot
• Measurement-induced nuclear spin polarization
• Spin separation and exchange for quantum dots in the Overhauser field