Manipulating Topological Edge Spins in One-Dimensional Optical Lattice

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.

4+pages+Supplementary material. Details for the model realization has been added to the supplementary material. Accepted by Phys. Rev. Lett

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging
• Stability of ultracold atomic Bose condensates with Rashba spin-orbit coupling against quantum and thermal fluctuations
• Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
• Fractional Spin Hall Effect in Atomic Bose Gases

Cited by in corpus (20)

• Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
• Floquet Semimetal with Floquet-band Holonomy
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
• Fragility of Symmetry Protected Topological Order on a Hubbard Ladder
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Hidden-symmetry-protected topological phases on a one-dimensional lattice
• Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Quantum simulation of topologically protected states using directionally unbiased linear-optical multiports
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Observing a topological phase transition with deep neural networks from experimental images of ultracold atoms
• Revealing the spatial nature of sublattice symmetry
• Spin measurements and control of cold atoms using spin-orbit fields
• Topological nodal chains in optical lattices
• Topological phases in spin-orbit coupled dipolar lattice bosons
• Generic theory of characterizing topological phases under quantum slow dynamics
• Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice
• Topological optical Raman superlattices
• Edge state preparation in one dimensional lattice by quantum Lyapunov control