Probing topological phases in waveguide superlattices

Abstract

One-dimensional superlattices with modulated coupling constants show rich topological properties and tunable edge states. Beyond the dimeric case, probing the topological properties of superlattices is a challenge. Here we suggest a rather general method of bulk probing topological invariants in waveguide superlattices based on spatial displacement of discretized beams. A judiciously tailored initial beam excitation of the lattice, corresponding to superposition of Wannier functions, provides a direct measure of the band gap topological numbers. For a quadrimeric superlattice, a simple bulk probing method, which avoids Wannier states, is proposed to discriminate the existence of zero-energy topological edge states from non-topological ones

5 pages, 4 figures, to appear in Optics Letters

References in corpus (11)

• Topological Photonics
• Topological Photonics
• Topological Transition in a Non-Hermitian Quantum Walk
• Observation of the topological Anderson insulator in disordered atomic wires
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Direct imaging of topological edge states in cold-atom systems
• Topological characterization of chiral models through their long time dynamics
• Probing one-dimensional topological phases in waveguide lattices with broken chiral symmetry
• Topological multiband photonic superlattices
• Edge states in dynamical superlattices
• Topological Floquet edge states in periodically curved waveguides

Cited by in corpus (9)

• Square-root higher-order topological insulator on a decorated honeycomb lattice
• Bulk-edge correspondence in the trimer Su-Schrieffer-Heeger model
• Probing bulk topological invariants using leaky photonic lattices
• Controllable double quantum state transfers by one topological channel in a frequency-modulated optomechanical array
• Wannier Function Methods for Topological Modes in 1D Photonic Crystals
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Detecting Bulk Topology of Quadrupolar Phase from Quench Dynamics
• Uncover band topology via quantized drift in two-dimensional Bloch oscillations
• Probing the topology of the two-photon bands via time-dependent quantum walks