Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
Abstract
We propose to observe and manipulate topological edge spins in 1D optical lattice based on currently available experimental platforms. Coupling the atomic spin states to a laser-induced periodic Zeeman field, the lattice system can be driven into a symmetry protected topological (SPT) phase, which belongs to the chiral unitary (AIII) class protected by particle number conservation and chiral symmetries. In free-fermion case the SPT phase is classified by a invariant which reduces to with interactions. The zero edge modes of the SPT phase are spin-polarized, with left and right edge spins polarized to opposite directions and forming a topological spin-qubit (TSQ). We demonstrate a novel scheme to manipulate the zero modes and realize single spin control in optical lattice. The manipulation of TSQs has potential applications to quantum computation.
Cite
@article{arxiv.1209.2990,
title = {Manipulating Topological Edge Spins in One-Dimensional Optical Lattice},
author = {Xiong-Jun Liu and Zheng-Xin Liu and Meng Cheng},
journal= {arXiv preprint arXiv:1209.2990},
year = {2013}
}
Comments
4+pages+Supplementary material. Details for the model realization has been added to the supplementary material. Accepted by Phys. Rev. Lett