English

Universal Scaling of Hyperfine-Induced Electron Spin Echo Decay

Mesoscale and Nanoscale Physics 2007-05-23 v2

Abstract

The decoherence of a localized electron spin in a lattice of nuclear spins is an important problem for potential solid-state implementations of a quantum computer. We demonstrate that even at high fields, virtual electron spin-flip processes due solely to the hyperfine interaction can lead to complex nuclear spin dynamics. These dynamics, in turn, can lead to single electron spin phase fluctuation and decoherence. We show here that remarkably, a spin echo pulse sequence can almost completely reverse these nuclear dynamics except for a small visibility loss, thereby suppressing contribution of the hyperfine interaction to T_2 processes. For small systems, we present numerical evidence which demonstrates a universal scaling of the magnitude of visibility loss that depends only on the inhomogeneous line width of the system and the magnetic field.

Keywords

Cite

@article{arxiv.cond-mat/0502143,
  title  = {Universal Scaling of Hyperfine-Induced Electron Spin Echo Decay},
  author = {Neil Shenvi and Rogerio de Sousa and K. Birgitta Whaley},
  journal= {arXiv preprint arXiv:cond-mat/0502143},
  year   = {2007}
}

Comments

14 pages, 6 figures Updated references, minor corrections

R2 v1 2026-07-22T11:13:29.171Z