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Manipulating Topological Edge Spins in a One-Dimensional Optical Lattice

TitleManipulating Topological Edge Spins in a One-Dimensional Optical Lattice
Publication TypeJournal Article
Year of Publication2013
AuthorsX-J. Liu, Z-X. Liu, and M. Cheng
JournalPhys. Rev. Lett.
Date Publishedfeb
KeywordsNo Fellows

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