A comprehensive review on developments of synthetic dimensions
arXiv:2503.01465 · doi:10.3788/PI.2025.R06
Abstract
The concept of synthetic dimensions has emerged as a powerful framework in photonics and atomic physics, enabling the exploration of high-dimensional physics beyond conventional spatial constraints. Originally developed for quantum simulations in high dimensions, synthetic dimensions have since demonstrated advantages in designing novel Hamiltonians and manipulating quantum or optical states for exploring topological physics, and for applications in computing and information processing. Here we provide a comprehensive overview of progress in synthetic dimensions across photonic, atomic, and other physical platforms over the past decade. We showcase different approaches used to construct synthetic dimensions and highlight key physical phenomena enabled by the advantage of such a framework. By offering a unified perspective on developments in this field, we aim to provide insights into how synthetic dimensions can bridge fundamental physics and applied technologies, fostering interdisciplinary engagement in quantum simulation, atomic and photonic engineering, and information processing.
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- Observation of many-body Fock space dynamics in two dimensions
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- Realization of all-band-flat photonic lattices
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- Nonlinear dynamics in a synthetic momentum state lattice
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- Multichannel Quantum Defect Theory of Strontium Rydberg Series
- Ballistic, diffusive, and arrested transport in disordered momentum-space lattices
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- Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
- Topological swing in Bloch oscillations
- Topological photonic orbital angular momentum switch
- Topological band structure via twisted photons in a degenerate cavity
- Second Chern crystals in four-dimensional synthetic translation space with inherently nontrivial topology
- Topological properties of Floquet winding bands in a photonic lattice
- Quantum Zeno effects across a parity-time symmetry breaking transition in atomic momentum space
- Engineering a U(1) lattice gauge theory in classical electric circuits
- Different lattice geometries with synthetic dimension
- Setting Boundaries with Memory: Generation of Topological Boundary States in Floquet-Induced Synthetic Crystals
- Time reflection and refraction in synthetic frequency dimension
- Chiral Dynamics of Ultracold Atoms under a Tunable SU(2) Synthetic Gauge Field
- Imaging topology of Hofstadter ribbons
- Synthetic dimensions for topological and quantum phases: Perspective
- Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
- Realization of an atomic quantum Hall system in four dimensions
- Fermi arc reconstruction in synthetic photonic lattice
- Metallic phase of the quantum Hall effect in four-dimensional space
- Phonoritonic crystals with synthetic magnetic field for acoustic diode
- Topological holographic quench dynamics in a synthetic dimension
- Particle exchange statistics beyond fermions and bosons
- Probing rotated Weyl physics on nonlinear lithium niobate-on-insulator chips
- Phases of Attractive Fermi Gases in Synthetic Dimensions
- Observation of non-Hermitian antichiral edge currents
- The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
- Synthetic Dimensions
- Superfluidity of Light and its Break-Down in Optical Mesh Lattices
- Many-body chiral edge currents and sliding phases of atomic spinwaves in momentum-space lattice
- Measuring second Chern number from non-adiabatic effects
- Strings of ultracold molecules in a synthetic dimension
- Topological Microlaser with A non-Hermitian Topological Bulk
- Realizing the Haldane Phase with Bosons in Optical Lattices
- Photonic quantum walks with four-dimensional coins
- 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
- Non-exponential tunneling due to mean-field induced swallowtails
- Extreme defect sensitivity from large synthetic dimensionality
- Exploring topological phase transition andWeyl physics in five dimensions with electric circuits
- Exceptional Cones in 4D Parameter Space
- Floquet superradiance lattices in thermal atoms
- Coherence and decoherence in the Harper-Hofstadter model
- Self acceleration from spectral geometry in dissipative quantum-walk dynamics
- Electric fields for light: Propagation of microwave photons along a synthetic dimension
- Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
- Baryon squishing in synthetic dimensions by effective gauge fields
- Coherent Manipulation of the Internal State of Ultracold RbCs Molecules with Multiple Microwave Fields
- Measuring Zak phase in room-temperature atoms
- Topological Superfluid and Majorana Zero Modes in Synthetic Dimension
- Tunable Topologically-protected Super- and Subradiant Boundary States in One-Dimensional Atomic Arrays
- Real space mean-field theory of a spin-1 Bose gas in synthetic dimensions
- Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
- Boosting the Quantum State of a Cavity with Floquet Driving
- Single Pulse Manipulations in Synthetic Time-frequency Space
- Tunable Flux through a Synthetic Hall Tube of Neutral Fermions
- Simulating topological materials with photonic synthetic dimensions in cavities
- Quantum field theory of nematic transitions in spin orbit coupled spin-1 polar bosons
- Optical Neural Network Based on Synthetic Nonlinear Photonic Lattices
- Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice
- Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
- Colloquium: Synthetic quantum matter in non-standard geometries
- Unification of valley and anomalous Hall effects in a strained lattice
- Interaction driven exotic quantum phases in spin-orbit coupled spin bosons
- Observation of Single Pair of Type-III Weyl Points in Sonic Crystals
- Synthetic Hall ladder with tunable magnetic flux
- Observation of gapless corner modes in synthetic translation dimensions
- Synthetic non-Abelian Electric Fields and Spin-Orbit Coupling in Photonic Synthetic Dimensions
- Synthetic Mechanical Lattices with Synthetic Interactions
- Localization on a synthetic Hall cylinder
- Quantized Hall drift in a frequency-encoded photonic Chern insulator
- Topological Floquet interface states in optical fibre loops
- Optical interface states protected by synthetic Weyl points
- Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation
- Giant non-reciprocity and gyration through modulation-induced Hatano-Nelson coupling in integrated photonics
- Deep learning optimal quantum annealing schedules for random Ising models
- Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
- Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
- All-optical control of the photonic Hall lattice in a pumped waveguide array
- Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
- Versatile Braiding of Non-Hermitian Topological Edge States
- Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
- Topologically protected frequency control of broadband signals in dynamically modulated waveguide arrays
- Chiral edge dynamics and quantum Hall physics in synthetic dimensions with an atomic erbium Bose-Einstein condensate
- Construction of various time-dependent Hamiltonians on a single photonic chip
- Simulating graphene dynamics in one-dimensional modulated ring array with synthetic dimension
- Invisible non-Hermitian potentials in discrete-time photonic quantum walks
- Topological nodal chains in optical lattices
- Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides
- Anisotropic dissipation of superfluid flow in a periodically-dressed Bose-Einstein condensate
- Optical neural network architecture for deep learning with the temporal synthetic dimension
- Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
- Synthetic magnetic fields for cold erbium atoms
- Long-lived multilevel coherences and spin-1 dynamics encoded in the rotational states of ultracold molecules
- Edge-dependent anomalous topology in synthetic photonic lattices subject to discrete step walks
- Velocity Scanning Tomography for Room-Temperature Quantum Simulation
- Generating high-order exceptional points in coupled electronic oscillators using complex synthetic gauge fields
- Spectrum Cascade Bloch Oscillations in Temporally Modulated Acoustics
- Bloch Oscillations Along a Synthetic Dimension of Atomic Trap States
- Quasi-edge states and topological Bloch oscillation in the synthetic space
- Manifestation of the Berry connection in chiral lattice systems
- Quantized topological phases beyond square lattices in Floquet synthetic dimensions
- Non-Hermitian synthetic lattices with light-matter coupling
- Chip-scale Simulations in a Quantum-correlated Synthetic Space
- Photonic random walks with traps
- Multimode amplitude squeezing through cascaded nonlinear optical processes
- Non-Hermitian dynamical topological winding in photonic mesh lattices
- A Quantum Walk Comb Source at Telecommunication Wavelengths
- Topological lattice using multi-frequency radiation
- Enhanced sensitivity via non-Hermitian topology
- Classical Analog of Quantum Models in Synthetic Dimensions
- Simulating a Chern Insulator with C = 2 on Synthetic Floquet Lattice
- Tera-sample-per-second arbitrary waveform generation in the synthetic dimension
- Topological argument for robustness of coherent states in quantum optics
- Theory of hydrodynamic phenomena in optical mesh lattices
- Observation of Higher-order Topological Bound States in the Continuum using Ultracold Atoms
- Collective magnetism of atomic momentum states
- Guiding and confining of light in a two-dimensional synthetic space using electric fields
- Versatile photonic frequency synthetic dimensions using a single Mach-Zehnder-interferometer-assisted device on thin-film lithium niobate
- Photonic quantum walk with ultrafast time-bin encoding
- Realization of Photonic Charge-2 Dirac Point by Engineering Super-modes in Topological Superlattices
- Finite-Temperature Quantum Matter with Rydberg or Molecule Synthetic Dimensions
- Non-reciprocal frequency conversion in a multimode nonlinear system
- Realization of topological Thouless pumping in a synthetic Rydberg dimension
Cited by in corpus (6)
- High-Order Perfect Absorption in the Absence of Exceptional Point
- Recent advances in the combination of nonlinearity and exceptional points
- Spectral shaping of fast-gain frequency combs through phases in synthetic dimensions
- Experimental observation of energy-band Riemann surface
- Insensitive nonreciprocal edge breathers
- Classification of Topological Phase in 2D Photonic Continuous Media Using Electromagnetic Parameters