Xiong-Jun Liu, Zheng-Xin Liu, Meng Cheng
We propose to observe and manipulate the topological edge spins in one-dimensional (1D) optical lattice based on currently available experimental platforms. Coupling the atomic spin states to a laser-induced periodic Zeeman field, the 1D lattice system can be driven into a nontrivial topological phase, which belongs to the chiral unitary (AIII) class protected by $U(1)\times Z_2^T$ symmetry, and is classified by a Z invariant in free-fermion case and Z_4 with interactions. The edge modes in the topological phase are spin-polarized, with left and right edge spins polarized to opposite directions and forming into a topological spin-qubit (TSQ). We demonstrate a novel scheme to manipulate the spin-polarized zero modes and realize quantum-tunneling driven spin Rabi-oscillations in a controllable fashion. The manipulation of TSQs has potential applications to quantum computation.
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http://arxiv.org/abs/1209.2990
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