Analysis of continuous and discrete Wigner approximations for spin dynamics
Quantum Physics
2019-04-29 v2 Quantum Gases
Abstract
We compare the continuous and discrete truncated Wigner approximations of various spin models' dynamics to exact analytical and numerical solutions. We account for all components of spin-spin correlations on equal footing, facilitated by a recently introduced geometric correlation matrix visualization technique [R. Mukherjee {\em et al.}, Phys. Rev. A {\bf 97}, 043606 (2018)]. We find that at modestly short times, the dominant error in both approximations is to substantially suppress spin correlations along one direction.
Cite
@article{arxiv.1807.02171,
title = {Analysis of continuous and discrete Wigner approximations for spin dynamics},
author = {Bhuvanesh Sundar and Kenneth C Wang and Kaden R A Hazzard},
journal= {arXiv preprint arXiv:1807.02171},
year = {2019}
}
Comments
19 pages, 19 figures; The first two authors contributed equally