Semi-classical model for the dephasing of a two-electron spin qubit coupled to a coherently evolving nuclear spin bath

Abstract

We study electron spin decoherence in a two-electron double quantum dot due to the hyperfine interaction, under spin-echo conditions as studied in recent experiments. We develop a semi-classical model for the interaction between the electron and nuclear spins, in which the time-dependent Overhauser fields induced by the nuclear spins are treated as classical vector variables. Comparison of the model with experimentally-obtained echo signals allows us to quantify the contributions of various processes such as coherent Larmor precession and spin diffusion to the nuclear spin evolution.

14 Pages, some equations were corrected; Published July 27, 2011

References in corpus (15)

• Coherent control of a single electron spin with electric fields
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• 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
• Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Theory of electric dipole spin resonance in quantum dots: Mean field theory with Gaussian fluctuations and beyond
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Exponential decay in a spin bath
• Electron spin as a spectrometer of nuclear spin noise and other fluctuations
• Universal Scaling of Hyperfine-Induced Electron Spin Echo Decay
• Wavefunction considerations for the central spin decoherence problem in a nuclear spin bath

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