Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion
arXiv:2002.08591 · doi:10.1038/s41377-020-0299-7
Abstract
Geometrical dimensionality plays a fundamentally important role in the topological effects arising in discrete lattices. While direct experiments are limited by three spatial dimensions, the research topic of synthetic dimensions implemented by the frequency degree of freedom in photonics is rapidly advancing. The manipulation of light in such artificial lattices is typically realized through electro-optic modulation, yet their operating bandwidth imposes practical constraints on the range of interactions between different frequency components. Here we propose and experimentally realize all-optical synthetic dimensions involving specially tailored simultaneous short- and long-range interactions between discrete spectral lines mediated by frequency conversion in a nonlinear waveguide. We realize triangular chiral-tube lattices in three-dimensional space and explore their four-dimensional generalization. We implement a synthetic gauge field with nonzero magnetic flux and observe the associated multidimensional dynamics of frequency combs, all within one physical spatial port. We anticipate that our method will provide a new means for the fundamental study of high-dimensional physics and act as an important step towards using topological effects in optical devices operating in the time and frequency domains.
arXiv comment20 pages, 6 figures
References in corpus (27)
- Topological Photonics
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Synthetic gauge fields in synthetic dimensions
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Synthetic Dimension in Photonics
- Topological quantum matter in synthetic dimensions
- Photonic Topological Insulator in Synthetic Dimensions
- Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
- Quantum simulation of an extra dimension
- A single photonic cavity with two independent physical synthetic dimensions
- Topologically Robust Transport of Photons in a Synthetic Gauge Field
- Photonic gauge potential in a system with a synthetic frequency dimension
- Why do nanotubes grow chiral?
- Experimental band structure spectroscopy along a synthetic dimension
- Higher-order topological insulators in synthetic dimensions
- Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
- Spectral photonic lattices with complex long-range coupling
- Observation of Light Guiding by Artificial Gauge Fields
- Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
- Four-dimensional photonic lattices and discrete tesseract solitons
- Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
- Cascaded forward Brillouin scattering to all Stokes orders
- Non-reciprocal geometric phase in nonlinear frequency conversion
- Experimental demonstration of dynamical input isolation in nonadiabatically modulated photonic cavities
- Synthetic gauge fields for light beams in optical resonators
- Synthetic photonic lattice for single-shot reconstruction of frequency combs
Cited by in corpus (19)
- Observation of arbitrary topological windings of a non-Hermitian band
- Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
- Arbitrary linear transformations for photons in the frequency synthetic dimension
- Creating boundaries along a synthetic frequency dimension
- Deterministic photonic quantum computation in a synthetic time dimension
- A comprehensive review on developments of synthetic dimensions
- Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
- Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension
- Mirror-induced reflection in the frequency domain
- Observation of flat-band and band transition in the synthetic space
- Spectral engineering of optical microresonators in anisotropic lithium niobate crystal
- Single Pulse Manipulations in Synthetic Time-frequency Space
- NOON-state interference in the frequency domain
- Synthetic photonic lattice for single-shot reconstruction of frequency combs
- N-Way Frequency Beamsplitter for Quantum Photonics
- Artificial gauge fields in the t-z mapping for optical pulses: spatio-temporal wavepacket control and quantum Hall physics
- Creating high-dimensional topological physics using a single ring resonator
- Quantized topological phases beyond square lattices in Floquet synthetic dimensions
- Synthetic plasmonic lattice formation through invariant frequency comb excitation in graphene structures