Dynamic Nuclear Polarization in Double Quantum Dots

Abstract

We theoretically investigate the controlled dynamic polarization of lattice nuclear spins in GaAs double quantum dots containing two electrons. Three regimes of long-term dynamics are identified, including the build up of a large difference in the Overhauser fields across the dots, the saturation of the nuclear polarization process associated with formation of so-called "dark states," and the elimination of the difference field. We show that in the case of unequal dots, build up of difference fields generally accompanies the nuclear polarization process, whereas for nearly identical dots, build up of difference fields competes with polarization saturation in dark states. The elimination of the difference field does not, in general, correspond to a stable steady state of the polarization process.

4 pages, 2 figures

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• Harnessing the GaAs quantum dot nuclear spin bath for quantum control
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• Theory of dynamic nuclear polarization and feedback in quantum dots
• Nuclear Spin Dynamics in Double Quantum Dots: Fixed Points, Transients, and Intermittency
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• Serialized Quantum Error Correction Protocol for High-Bandwidth Quantum Repeaters
• Steady-State Entanglement in the Nuclear Spin Dynamics of a Double Quantum Dot
• Nuclear Spin Dynamics in Double Quantum Dots: Multi-Stability, Dynamical Polarization, Criticality and Entanglement
• Nuclear Dynamics During Landau-Zener Singlet-Triplet Transitions in Double Quantum Dots
• Noise Analysis of Qubits Implemented in Triple Quantum Dot Systems in a Davies Master Equation Approach
• Spin decoherence in graphene quantum dots due to hyperfine interaction
• Electrical current and coupled electron-nuclear spin dynamics in double quantum dots
• Noise-Protected Gate for Six-Electron Double-Dot Qubits
• Preparation of Non-equilibrium Nuclear Spin States in Double Quantum Dots
• The theory of coherent dynamic nuclear polarization in quantum dots
• High-fidelity quantum memory utilizing inhomogeneous nuclear polarization in a quantum dot
• Equilibration in closed quantum systems: Application to spin qubits
• Balancing coherent and dissipative dynamics in a central-spin system
• Dynamical nuclear spin polarization induced by electronic current through double quantum dots
• Increased coherence time in narrowed bath states in quantum dots
• Temperature-dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime
• Dynamical Self-Quenching of Spin Pumping into Double Quantum Dots
• The formation of a nuclear-spin dark state in silicon
• Inhomogeneous dynamic nuclear polarization and suppression of electron-polarization decay in a quantum dot
• Self-sustained current oscillations in spin-blockaded quantum dots
• Suppression of Hyperfine Dephasing by Spatial Exchange of Double Quantum Dots
• Role of dual nuclear baths on spin blockade leakage current bistabilities
• Multistability and spin diffusion enhanced lifetimes in dynamic nuclear polarization in a double quantum dot
• Measurement-induced nuclear spin polarization
• Superradiant-like dynamics by electron shuttling on a nuclear-spin island
• Self-Quenching of Nuclear Spin Dynamics in Central Spin Problem