Shaping topological properties of the band structures in a shaken optical lattice

Abstract

To realize band structures with non-trivial topological properties in an optical lattice is an exciting topic in current studies on ultra cold atoms. Here we point out that this lofty goal can be achieved by using a simple scheme of shaking an optical lattice, which is directly applicable in current experiments. The photon-assistant band hybridization leads to the production of an effective spin-orbit coupling, in which the band index represents the pseudospin. When this spin-orbit coupling has finite strengths along multiple directions, non-trivial topological structures emerge in the Brillouin zone, such as topological defects with a winding number 1 or 2 in a shaken square lattice. The shaken lattice also allows one to study the transition between two band structures with distinct topological properties.

Discussions on differences between inseparable and separable lattices were added; A technical error in separable lattices was corrected; Conclusions and main results remain unchanged

References in corpus (8)

• Topological Crystalline Insulators
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Topological orbital ladders
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms

Cited by in corpus (10)

• Topological insulator and particle pumping in a one-dimensional shaken optical lattice
• Floquet analysis of a quantum system with modulated periodic driving
• Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
• Topological Floquet engineering using two frequencies in two dimensions
• Excitation of atoms in an optical lattice driven by polychromatic amplitude modulation
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
• Single atom edge-like states via quantum interference
• Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice
• Topological orbital superfluid with chiral d-wave order in a rotating optical lattice