Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation

Abstract

We show that a single ring resonator undergoing dynamic modulation can be used to create a synthetic space with an arbitrary dimension. In such a system the phases of the modulation can be used to create a photonic gauge potential in high dimensions. As an illustration of the implication of this concept, we show that the Haldane model, which exhibits non-trivial topology in two dimensions, can be implemented in the synthetic space using three rings. Our results point to a route towards exploring higher-dimensional topological physics in low-dimensional physical structures. The dynamics of photons in such synthetic spaces also provides a mechanism to control the spectrum of light.

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Cited by in corpus (51)

• Topological Photonics
• Integrated photonics on thin-film lithium niobate
• Synthetic Dimension in Photonics
• Topological quantum matter in synthetic dimensions
• Photonic Topological Insulator in Synthetic Dimensions
• Observation of arbitrary topological windings of a non-Hermitian band
• Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
• Experimental band structure spectroscopy along a synthetic dimension
• Higher-order topological insulators in synthetic dimensions
• High-dimensional frequency crystals and quantum walks in electro-optic microcombs
• Giant Atoms in a Synthetic Frequency Dimension
• Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
• Arbitrary linear transformations for photons in the frequency synthetic dimension
• A synthetic gauge field for two-dimensional time-multiplexed quantum random walks
• Topological phases in ring resonators: recent progress and future prospects
• Creating boundaries along a synthetic frequency dimension
• Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension
• Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices
• A comprehensive review on developments of synthetic dimensions
• Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion
• Piezoelectric actuation for integrated photonics
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension
• Three-dimensional Chiral Lattice Fermion in Floquet Systems
• Time reflection and refraction in synthetic frequency dimension
• Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
• Topological holographic quench dynamics in a synthetic dimension
• Observation of non-Hermitian antichiral edge currents
• Isolated Photonic Flatband with the Effective Magnetic Flux in A Synthetic Space including the Frequency Dimension
• Observation of flat-band and band transition in the synthetic space
• Extreme defect sensitivity from large synthetic dimensionality
• Experimental demonstration of dynamical input isolation in nonadiabatically modulated photonic cavities
• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
• Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
• Superfluid Vortices in Four Spatial Dimensions
• Cavity quantum electrodynamics and chiral quantum optics
• High-Q Lithium Niobate Microcavities and Their Applications
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Construction of various time-dependent Hamiltonians on a single photonic chip
• Topologically protected frequency control of broadband signals in dynamically modulated waveguide arrays
• Simulating graphene dynamics in one-dimensional modulated ring array with synthetic dimension
• All-to-all connected networks by multi-frequency excitation of polaritons
• Creating high-dimensional topological physics using a single ring resonator
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• Photonic quadrupole topological phases in zero-dimensional cavity with synthetic dimensions
• Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
• Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
• Quantum walk with coherent multiple translations induces fast quantum gate operations
• Fourth-Order Topological Insulator via Dimensional Reduction
• A strong-driving toolkit for topological Floquet energy pumps with superconducting circuits