Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension

Abstract

Non-Abelian gauge fields provide a conceptual framework for the description of particles having spins. The theoretical importance of non-Abelian gauge fields motivates their experimental synthesis and explorations. Here, we demonstrate non-Abelian lattice gauge fields for photons. In the study of gauge fields, lattice models are essential for the understanding of their implications in extended systems. We utilize the platform of synthetic frequency dimensions, which enables the study of lattice physics in a scalable and programmable way. We observe Dirac cones at time-reversal-invariant momenta as well as the direction reversal of eigenstate trajectories associated with such Dirac cones. Both of them are unique signatures of non-Abelian gauge fields in our lattice system. Our results highlight the implications of non-Abelian gauge field in the study of topological physics and suggest opportunities for the control of photon spins and pseudospins.

References in corpus (36)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Non-Abelian Anyons and Topological Quantum Computation
• Topological Photonics
• Spin-orbit interactions of light
• Modern Theory of Nuclear Forces
• Scheme to Achieve Silicon Topological Photonics
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Quantum spin Hall effect of light
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Synthetic Dimension in Photonics
• Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
• Photonic Topological Insulator in Synthetic Dimensions
• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• A single photonic cavity with two independent physical synthetic dimensions
• SO(5) Theory of Antiferromagnetism and Superconductivity
• Observing Zitterbewegung in Ultracold Atoms
• Measurement of topological invariants in a 2D photonic system
• Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
• Experimental band structure spectroscopy along a synthetic dimension
• Experimental observation of non-Abelian topological charges and bulk-edge correspondence
• Synthesis and Observation of Non-Abelian Gauge Fields in Real Space
• Observation of Light Guiding by Artificial Gauge Fields
• Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
• Non-abelian gauge fields in circuit systems
• A synthetic gauge field for two-dimensional time-multiplexed quantum random walks
• Creating boundaries along a synthetic frequency dimension
• Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices
• Non-Abelian effects in dissipative photonic topological lattices
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Chiral Dynamics of Ultracold Atoms under a Tunable SU(2) Synthetic Gauge Field
• Non-Abelian Generalizations of the Hofstadter model: Spin-orbit-coupled Butterfly Pairs
• Direct Observation of Landau Levels in Silicon Photonic Crystals

Cited by in corpus (14)

• A comprehensive review on developments of synthetic dimensions
• Synthetic non-Abelian Electric Fields and Spin-Orbit Coupling in Photonic Synthetic Dimensions
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Creating high-dimensional topological physics using a single ring resonator
• Spectral shaping of fast-gain frequency combs through phases in synthetic dimensions
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• Experimental observation of energy-band Riemann surface
• Quantum walk with coherent multiple translations induces fast quantum gate operations
• Artificial Gauge Field Engineered Excited-State Topology: Control of Dynamical Evolution of Localized Spinons
• Robust biexciton preparation for entangled photon-pair generation by single-shot Floquet driving
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields
• Non-Abelian gauge field optics in the time domain