Quasi-edge states and topological Bloch oscillation in the synthetic space
arXiv:2108.12195 · doi:10.1364/OE.462156
Abstract
In physics, synthetic dimensions trigger great interest to manipulate light in different ways, while in technology, lithium niobate shows important capability towards on-chip applications. Here, based on the state-of-art technology, we propose and study a theoretical model of dynamically-modulated waveguide arrays with the Su-Schrieffer-Heeger configuration in the spatial dimension. The propagation of light through the one-dimensional waveguide arrays mimics time evolution of field in a synthetic two-dimensional lattice including the frequency dimension. By adding the effective gauge potential, we find quasi-edge state that the intensity distribution manifests not at the boundary as the traditional edge state, which leads to an exotic topologically protected one-way transmission along adjacent boundary. Furthermore, a cosine-shape isolated band exhibits, supporting the topological Bloch oscillation in the frequency dimension under the effective constant force, which is localized at the spatial boundary and shows the topological feature. Our work therefore points out further capability of light transmission under topological protections in both spatial and spectral regimes, and provides future on-chip applications in the lithium niobate platform.
17 pages, 4 figures
References in corpus (19)
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Monolithic Ultrahigh-Q Lithium Niobate Microring Resonator
- Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Topological quantum matter in synthetic dimensions
- Observation of arbitrary topological windings of a non-Hermitian band
- A single photonic cavity with two independent physical synthetic dimensions
- Nonlinear control of PT-symmetry and non-Hermitian topological states
- Higher-order topological insulators in synthetic dimensions
- Spectral photonic lattices with complex long-range coupling
- High-dimensional frequency crystals and quantum walks in electro-optic microcombs
- Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
- Synthetic dimension band structures on a Si CMOS photonic platform
- Demonstration of topological wireless power transfer
- Cryogenic Electro-Optic Polarisation Conversion in Titanium in-diffused Lithium Niobate Waveguides
- Topological holographic quench dynamics in a synthetic dimension
- Probing rotated Weyl physics on nonlinear lithium niobate-on-insulator chips
- Single Pulse Manipulations in Synthetic Time-frequency Space
- Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation