Synthetic Dimension in Photonics

Abstract

The physics of a photonic structure is commonly described in terms of its apparent geometric dimensionality. On the other hand, with the concept of synthetic dimension, it is in fact possible to explore physics in a space with a dimensionality that is higher as compared to the apparent geometrical dimensionality of the structures. In this review, we discuss the basic concepts of synthetic dimension in photonics, and highlighting the various approaches towards demonstrating such synthetic dimension for fundamental physics and potential applications.

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Cited by in corpus (179)

• Integrated photonics on thin-film lithium niobate
• Nonlinear topological photonics
• Topological quantum matter in synthetic dimensions
• Photonic Topological Insulator in Synthetic Dimensions
• Topological photonic crystals: physics, designs and applications
• Observation of arbitrary topological windings of a non-Hermitian band
• A single photonic cavity with two independent physical synthetic dimensions
• Active topological photonics
• Reconfigurable electro-optic frequency shifter
• Experimental observation of exceptional surface in synthetic dimensions with magnon polaritons
• Circuit Implementation of a Four-Dimensional Topological Insulator
• Topological Classification of Non-Hermitian Hamiltonians
• Synthetic parity-time symmetry breaking in a single microcavity
• Experimental band structure spectroscopy along a synthetic dimension
• A heterogeneously integrated lithium niobate-on-silicon nitride photonic platform
• Breaking Anti-$\mathcal{P}\mathcal{T}$ Symmetry by Spinning a Resonator
• Minireview on Disordered Optical Metasurfaces
• A brief review of topological photonics in one, two, and three dimensions
• Topologically Enhanced Harmonic Generation in a Nonlinear Transmission Line Metamaterial
• Higher-order topological insulators in synthetic dimensions
• Hybrid Integrated Photonics Using Bulk Acoustic Resonators
• Topological one-way fiber of second Chern number
• High-dimensional frequency crystals and quantum walks in electro-optic microcombs
• Giant Atoms in a Synthetic Frequency Dimension
• Synthetic gauge field in a single optomechanical resonator
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
• Hierarchical construction of higher-order exceptional points
• Observation of momentum-space chiral edge currents in room-temperature atoms
• Coherent control of quantum topological states of light in Fock-state lattices
• Arbitrary linear transformations for photons in the frequency synthetic dimension
• Four-Dimensional Higher-Order Chern Insulator and Its Acoustic Realization
• Mode-Locked Topological Insulator Laser Utilizing Synthetic Dimensions
• Topolectrical-circuit realization of 4D hexadecapole insulator
• Photonic time crystals: Theory and applications
• Topological phases in ring resonators: recent progress and future prospects
• Probing Weyl Physics with One-dimensional Sonic Crystals
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Excite atom-photon bound state inside the coupled-resonator waveguide coupled with a giant atom
• Creating boundaries along a synthetic frequency dimension
• Dirac-vortex topological photonic crystal fibre
• Synthetic dimension band structures on a Si CMOS photonic platform
• Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
• A comprehensive review on developments of synthetic dimensions
• Nonlinear states and dynamics in a synthetic frequency dimension
• Deterministic photonic quantum computation in a synthetic time dimension
• Simulating Chern insulators on a superconducting quantum processor
• Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion
• Strong nonreciprocity in modulated resonator chains through synthetic electric and magnetic fields
• Scaling optical computing in synthetic frequency dimension using integrated cavity acousto-optics
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• 2D Solitons in PT-symmetric photonic lattices
• Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension
• Tracking valley topology with synthetic Weyl paths
• Topological photonic crystal fibers and ring resonators
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Ultra-long quantum walks via spin-orbit photonics
• Mirror-induced reflection in the frequency domain
• Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
• Spectral Causality and the Scattering of Waves
• Time-modulated near-field radiative heat transfer
• Topological band structure via twisted photons in a degenerate cavity
• Second Chern crystals in four-dimensional synthetic translation space with inherently nontrivial topology
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
• Synthetic dimensions for topological and quantum phases: Perspective
• Non-Abelian Generalizations of the Hofstadter model: Spin-orbit-coupled Butterfly Pairs
• Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
• Time reflection and refraction in synthetic frequency dimension
• Zero-index Weyl metamaterials
• Topological holographic quench dynamics in a synthetic dimension
• Probing rotated Weyl physics on nonlinear lithium niobate-on-insulator chips
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• Topologically protected generation of spatiotemporal optical vortices with nonlocal spatial-mirror-symmetry-breaking metasurface
• Hyperbolic band theory through Higgs bundles
• Synthetic Dimensions
• Floquet engineering correlated materials with unpolarized light
• On-chip optical non-reciprocity through a synthetic Hall effect for photons
• Topological Microlaser with A non-Hermitian Topological Bulk
• Observation of flat-band and band transition in the synthetic space
• Isolated Photonic Flatband with the Effective Magnetic Flux in A Synthetic Space including the Frequency Dimension
• Exceptional Cones in 4D Parameter Space
• Extreme defect sensitivity from large synthetic dimensionality
• Spectral engineering of optical microresonators in anisotropic lithium niobate crystal
• Optical $N$-invariant of graphene's viscous Hall fluid
• Electric fields for light: Propagation of microwave photons along a synthetic dimension
• Topological charge of finite-size photonic crystal modes
• Multi-Photon Synthetic Lattices in Multi-Port Waveguide Arrays: Synthetic Atoms and Fock Graphs
• Tunable Topologically-protected Super- and Subradiant Boundary States in One-Dimensional Atomic Arrays
• Measuring Zak phase in room-temperature atoms
• Single Pulse Manipulations in Synthetic Time-frequency Space
• Josephson effect in a Fibonacci quasicrystal
• Rotating Spacetime Modulation: Topological Phases and Spacetime Haldane Model
• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Coherent control of topological states in an integrated waveguide lattice
• Simulating topological materials with photonic synthetic dimensions in cavities
• Polarization as a tuning parameter for Floquet engineering: magnetism in the honeycomb, square, and triangular Mott insulators
• Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
• Photonic band structure design using persistent homology
• Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices
• Unification of valley and anomalous Hall effects in a strained lattice
• Ergodic Edge Modes in the 4D Quantum Hall Effect
• Synthetic non-Abelian Electric Fields and Spin-Orbit Coupling in Photonic Synthetic Dimensions
• Non-orthogonal cavity modes near exceptional points in the far field
• Observation of gapless corner modes in synthetic translation dimensions
• Dynamical signatures of point-gap Weyl semimetal
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Monopole topological resonators
• Breakdown of detailed balance for thermal radiation by synthetic fields
• Building Flat-Band Lattice Models from Gram Matrices
• Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
• Giant non-reciprocity and gyration through modulation-induced Hatano-Nelson coupling in integrated photonics
• Synthetic dimensions and topological chiral currents in mesoscopic rings
• Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
• All-optical control of the photonic Hall lattice in a pumped waveguide array
• Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
• Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
• Photon-photon polaritons in chi(2) microresonators
• Construction of various time-dependent Hamiltonians on a single photonic chip
• Topological Materials for Near-Field Radiative Heat Transfer
• Topologically protected frequency control of broadband signals in dynamically modulated waveguide arrays
• Simulating graphene dynamics in one-dimensional modulated ring array with synthetic dimension
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Realization of programmable nanomechanical lattice with both nearest-neighboring and next-nearest-neighboring couplings
• Synthetic photonic lattice for single-shot reconstruction of frequency combs
• Fractional Quantum Hall Effect for Extended Objects: from Skyrmionic Membranes to Dyonic Strings
• Switching between topological edge states in plasmonic systems using phase-change materials
• Optical neural network architecture for deep learning with the temporal synthetic dimension
• Stacking-Induced Symmetry-Protected Topological Phase Transitions
• Optical isolation by temporal modulation: size, frequency, and power constraints
• Delocalization of light in photonic lattices with unbounded potentials
• Spectrum Cascade Bloch Oscillations in Temporally Modulated Acoustics
• Transmission properties of microwaves at an optical Weyl point in a three-dimensional chiral photonic crystal
• Artificial magnetic field for synthetic quantum matter without dynamical modulation
• Simulating two-dimensional dynamics within a large-size atomic spin
• Quantum correlations from dynamically modulated optical nonlinear interactions
• Quasi-edge states and topological Bloch oscillation in the synthetic space
• Artificial gauge fields in the t-z mapping for optical pulses: spatio-temporal wavepacket control and quantum Hall physics
• The Fibonacci quasicrystal: case study of hidden dimensions and multifractality
• Topological Degeneracy Induced by Twisting
• Family of third-order topological insulators from Su-Schrieffer-Heeger stacking
• Creating high-dimensional topological physics using a single ring resonator
• Resonant Parametric Photon Generation in Waveguide-coupled Quantum Emitter Arrays
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
• Anomalous transport in periodic photonic chains with designed loss
• How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
• High-Order Perfect Absorption in the Absence of Exceptional Point
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• How to realize compact and non-compact localized states in disorder-free hypercube networks
• Synthetic plasmonic lattice formation through invariant frequency comb excitation in graphene structures
• Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
• Topological aspects in nonlinear optical frequency conversion
• Nonlinear unitary circuits for photonic neural networks
• Algebraic localization-delocalization phase transition in moving potential wells on a lattice
• Integer Programming Using A Single Atom
• Efficient algorithms for surface density of states in topological photonic and acoustic systems
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Experimental observation of energy-band Riemann surface
• Exploring the boundary of quantum correlations with a time-domain optical processor
• Non-reciprocal scattering in a microwave frequency comb
• Higher-dimensional magnetic Skyrmions
• Synthetic-lattice Bloch wave dynamics in a single-mode microwave resonator
• Liouville Fock state lattices and potential simulators
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Designing a Transition Photonic Band with a Synthetic Moire Sphere
• Zak Phase Dislocations in Trimer Lattices
• Deterministic linear-optical computing with symmetry-based qubits
• Insensitive nonreciprocal edge breathers
• Principles of Optics in the Fock Space: Scalable Manipulation of Giant Quantum States
• Exact Mobility Edges in a Disorder-Free Dimerized Stark Lattice with Effective Unbounded Hopping
• Dimensional crossover of class D real-space topological invariants
• Phase fields in momentum space of photonic crystal slabs
• Non-orientable Exceptional Points in Twisted Boundary Systems
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes