2012/09/30 by Xiong-Jun Liu, Zheng-Xin Liu, Meng Cheng · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Geometry #Homogeneous space #Lattice (music) #Magnetic field #Optical lattice #Physics #Quantum #Quantum and electron transport phenomena #Quantum computer #Quantum mechanics #Qubit #Spins #Topological Materials and Phenomena #Topology (electrical circuits) #Zeeman effect #cond-mat.mes-hall #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.110.076401
published as Phys. Rev. Lett. 110, 076401 (2013) · 4+pages+Supplementary material. Details for the model realization has been added to the supplementary material. Accepted by Phys. Rev. Lett
arxiv created 2013/01/18 · openalex publication_date 2013/02/12 · arxiv updated 2013/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.