Floquet Edge States with Ultracold Atoms

Abstract

We describe an experimental setup for imaging topologically protected Floquet edge states using ultracold bosons in an optical lattice. Our setup involves a deep two dimensional optical lattice with a time dependent superlattice that modulates the hopping between neighboring sites. The finite waist of the superlattice beam yields regions with different topological numbers. One can observe chiral edge states by imaging the real-space density of a bosonic packet launched from the boundary between two topologically distinct regions.

6 pages, 5 figures, revtex4; minor corrections, references added

References in corpus (8)

• Topological characterization of periodically-driven quantum systems
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Direct imaging of topological edge states in cold-atom systems
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Direct measurement of topological invariants in optical lattices
• Enlarging and cooling the Néel state in an optical lattice
• Identifying topological edge states in 2D optical lattices using light scattering

Cited by in corpus (16)

• Topological Photonics
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Topological index for periodically driven time-reversal invariant 2D systems
• Periodically-driven quantum matter: the case of resonant modulations
• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• Effects of interactions on periodically driven dynamically localized systems
• Floquet edge states in a harmonically driven integer quantum Hall system
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems
• Light-induced topological phases in thin films of magnetically doped topological insulators
• Anomalous charge pumping in a one-dimensional optical superlattice
• Effects of local periodic driving on transport and generation of bound states
• Engineering of topological phases in driven thin topological insulator: Structure inversion asymmetry effect
• Driven Topological Systems in the Classical Limit
• Floquet engineering of edge states in the presence of staggered potential and interactions