Nuclear Spin Noise in the Central Spin Model
Mesoscale and Nanoscale Physics
2018-07-02 v3 Statistical Mechanics
Quantum Physics
Abstract
We study theoretically the spin fluctuations of nuclei in quantum dots. We employ the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin. We present an analytical solution in the frame of the box model approximation where all hyperfine coupling constants are assumed to be equal. These results are in good agreement with numerical simulations. We demonstrate that in rather high magnetic field the nuclear spin noise spectra has a two-peak structure centered at the nuclear Zeeman frequency with the shape of the spectrum controlled by the distribution of the hyperfine constants.
Cite
@article{arxiv.1802.09414,
title = {Nuclear Spin Noise in the Central Spin Model},
author = {Nina Fröhling and Frithjof B. Anders and Mikhail Glazov},
journal= {arXiv preprint arXiv:1802.09414},
year = {2018}
}
Comments
9 pages, 10 figures