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arXiv · 1209.2990

Manipulating Topological Edge Spins in One-Dimensional Optical Lattice

Xiong-Jun Liu·Zheng-Xin Liu·Meng Cheng
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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 $Z$ 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 optical lattice. The manipulation of TSQs has potential applications to quantum computation.

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Xiong-Jun Liu, Zheng-Xin Liu, Meng Cheng. 2012-09-13. Manipulating Topological Edge Spins in One-Dimensional Optical Lattice. https://doi.org/10.1103/physrevlett.110.076401

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