Floquet Topological States in Shaking Optical Lattices

Abstract

In this letter we propose realistic schemes to realize topologically nontrivial Floquet states by shaking optical lattices, using both one-dimension lattice and two-dimensional honeycomb lattice as examples. The topological phase in the two-dimensional model exhibits quantum anomalous Hall effect. The transition between topological trivial and nontrivial states can be easily controlled by shaking frequency and amplitude. Our schemes have two major advantages. First, both the static Hamiltonian and the shaking scheme are sufficiently simple to implement. Secondly, it requires relatively small shaking amplitude and therefore heating can be minimized. These two advantages make our scheme much more practical.

6 pages including supplementary materials, 3 figures

References in corpus (14)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Dynamical control of matter-wave tunneling in periodic potentials
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Optical Flux Lattices for Ultracold Atomic Gases
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
• Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals
• Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices

Cited by in corpus (110)

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• Observation of a dynamical topological phase transition
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• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Artificial gauge fields in materials and engineered systems
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• Laser-induced topological transitions in phosphorene with inversion symmetry
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• Floquet analysis of a quantum system with modulated periodic driving
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• Topological pumping in a Floquet-Bloch band
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• The role of real-space micromotion for bosonic and fermionic Floquet fractional Chern insulators
• The Realization and Dectection of Weyl Semimetals and Chiral Anomaly in Cold Atomic Systems
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• Shaping topological properties of the band structures in a shaken optical lattice
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• Magnetic Order Driven Topological Transition in the Haldane-Hubbard Model
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• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
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• Excitation of atoms in an optical lattice driven by polychromatic amplitude modulation
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• Transport signatures of symmetry protection in 1D Floquet topological insulators
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• Dynamical Generation of Topological Magnetic Lattices for Ultracold Atoms
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• Dynamical instability towards finite-momentum pairing in quenched BCS superconducting phases
• Predicted novel type of photoinduced topological phase transition accompanied by collision and collapse of Dirac-cone pair in organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
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• Fast and selective inter-band transfer of ultracold atoms in bichromatic lattices permitting Dirac points
• Projective Spacetime Symmetry of Spacetime Crystals
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