The spin-s homogeneous central spin model: exact spectrum and dynamics
Quantum Physics
2018-11-14 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We consider the problem of a central spin with arbitrary spin s that interacts pairwise and uniformly with a bath of N spins with s=1/2. We present two approaches for determining the exact spectrum of this model, one based on properties of SU(2), and the other based on integrability. We also analyze the exact time evolution of a spin coherent state, and compute the time evolution of various quantities of physical interest, including the entanglement entropy, spin polarization and Loschmidt echo.
Keywords
Cite
@article{arxiv.1810.03937,
title = {The spin-s homogeneous central spin model: exact spectrum and dynamics},
author = {Rafael I. Nepomechie and Xi-Wen Guan},
journal= {arXiv preprint arXiv:1810.03937},
year = {2018}
}
Comments
19 pages