Title | Manipulating Topological Edge Spins in a One-Dimensional Optical Lattice |
Publication Type | Journal Article |
Year of Publication | 2013 |
Authors | X-J. Liu, Z-X. Liu, and M. Cheng |
Journal | Phys. Rev. Lett. |
Volume | 110 |
Pagination | 076401 |
Date Published | feb |
ISSN | 0031-9007 |
Keywords | No Fellows |
Abstract | We propose to observe and manipulate topological edge spins in a one-dimensional 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 the free-fermion case the SPT phase is classified by a Z invariant which reduces to Z(4) 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 an optical lattice. The manipulation of TSQs has potential applications to quantum computation. DOI: 10.1103/PhysRevLett.110.076401 |
DOI | 10.1103/PhysRevLett.110.076401 |