Dynamics of Overhauser Field under nuclear spin diffusion in a quantum dot

Abstract

The coherence of electron spin can be significantly enhanced by locking the Overhauser field from nuclear spins using the nuclear spin preparation. We propose a theoretical model to calculate the long time dynamics of the Overhauser field under intrinsic nuclear spin diffusion in a quantum dot. We obtain a simplified diffusion equation that can be numerically solved and show quantitatively how the Knight shift and the electron-mediated nuclear spin flip-flop affect the nuclear spin diffusion. The results explain several recent experimental observations, where the decay time of Overhauser field is measured under different configurations, including variation of the external magnetic field, the electron spin configuration in a double dot, and the initial nuclear spin polarization rate.

6 pages, 5 figures

References in corpus (10)

• Spin-echo of a single electron spin in a quantum dot
• Confluence of resonant laser excitation and bi-directional quantum dot nuclear spin polarization
• Dynamic Nuclear Polarization with Single Electron Spins
• Dynamics of Quantum Dot Nuclear Spin Polarization Controlled by a Single Electron
• Demagnetization of Quantum Dot Nuclear Spins: Breakdown of the Nuclear Spin Temperature Approach
• Stabilizing effect of nuclear quadrupole interaction on the polarization of electron-nuclear spin system in a quantum dot
• Nuclear spin dynamics and Zeno effect in quantum dots and defect centers
• Optically monitored nuclear spin dynamics in individual GaAs quantum dots grown by droplet epitaxy
• Theoretical study of nuclear spin polarization and depolarization in self-assembled quantum dots
• Wavefunction considerations for the central spin decoherence problem in a nuclear spin bath

Cited by in corpus (13)

• Spectrum of the Nuclear Environment for GaAs Spin Qubits
• Persistent narrowing of nuclear-spin fluctuations in InAs quantum dots using laser excitation
• Nuclear spin diffusion in the central spin system of a GaAs/AlGaAs quantum dot
• Narrowing of the Overhauser field distribution by feedback-enhanced dynamic nuclear polarization
• Enhancement of nuclear spin coherence times by driving dynamic nuclear polarization at defect centers in solids
• Dynamic nuclear polarization and ESR hole burning in As doped silicon
• Stabilizing nuclear spins around semiconductor electrons via the interplay of optical coherent population trapping and dynamic nuclear polarization
• Nuclear spin polarization in a single quantum dot pumped by two laser beams
• Loschmidt echo driven by hyperfine and electric-quadrupole interactions in nanoscale nuclear spin baths
• Dipole-like dynamical nuclear spin polarization around a quantum point contact
• Noise suppression and long-range exchange coupling for gallium arsenide spin qubits
• Quantum repeaters based on individual electron spins and nuclear-spin-ensemble memories in quantum dots
• Dynamical nuclear spin polarization in a quantum dot with an electron spin driven by electric dipole spin resonance