Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath

Abstract

We investigate pure dephasing decoherence (free induction decay and spin echo) of a spin qubit interacting with a nuclear spin bath. While for infinite magnetic field B the only decoherence mechanism is spectral diffusion due to dipolar flip-flops of nuclear spins, with decreasing B the hyperfine-mediated interactions between the nuclear spins become important. We give a theory of decoherence due to these interactions which takes advantage of their long-range nature. For a thermal uncorrelated bath we show that our theory is applicable down to B~10 mT, allowing for comparison with recent experiments in GaAs quantum dots.

Published version, new title suggested by the PRL editor

References in corpus (8)

• How to Enhance Dephasing Time in Superconducting Qubits
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Spin-echo of a single electron spin in a quantum dot
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Exponential decay in a spin bath
• Quantum decoherence of a charge qubit in a spin-fermion model
• Non-Perturbative Bounds on Hyperfine-Induced Electron Spin Coherence Times

Cited by in corpus (4)

• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Nuclear Spins in Nanostructures
• Hyperfine interaction and electron-spin decoherence in graphene and carbon nanotube quantum dots
• Spin interactions, relaxation and decoherence in quantum dots