Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
arXiv:2504.16390 · doi:10.1103/PhysRevLett.134.163801
Abstract
An incident wave at a temporal interface, created by an abrupt change in system parameters, generates time-refracted and time-reflected waves. We find topological characteristics associated with the temporal interface that separates distinct spatial topologies and report a novel bulk-boundary correspondence for the temporal interface. The vanishing of either time refraction or time reflection records a topological phase transition across the temporal interface, and the difference of bulk band topology predicts nontrivial braiding hidden in the time refraction and time reflection coefficients. These findings, which are insensitive to spatial boundary conditions and robust against disorder, are demonstrated in a synthetic frequency lattice with rich topological phases engendered by long-range couplings. Our work reveals the topological aspect of temporal interface and paves the way for using the time boundary effect to probe topological phase transitions and topological invariants.
arXiv comment8 pages, 4 figures
References in corpus (56)
- Topological Insulators
- Topological Photonics
- Topological Photonics
- Classification of topological quantum matter with symmetries
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Imaging topological edge states in silicon photonics
- Colloquium: Topological Band Theory
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Nonlinear topological 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
- Edge Solitons in Nonlinear Photonic Topological Insulators
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Topology of photonic time-crystals
- Topological photonic crystals: physics, designs and applications
- Revisiting time reversal and holography with spacetime transformations
- A single photonic cavity with two independent physical synthetic dimensions
- Photonic gauge potential in a system with a synthetic frequency dimension
- Observation of Temporal Reflections and Broadband Frequency Translations at Photonic Time-Interfaces
- Experimental Measurement of the Berry Curvature from Anomalous Transport
- Measuring topology by dynamics: Chern number from linking number
- Measurement of topological invariants in a 2D photonic system
- Non-Abelian braiding on photonic chips
- Measurement of a topological edge invariant in a microwave network
- Higher-order topological insulators in synthetic dimensions
- Chiral-Symmetric Higher-Order Topological Phases of Matter
- Reconfigurable topological phases in next-nearest-neighbor coupled resonator lattices
- Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
- Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
- Direct Observation of Topology from Single-photon Dynamics on a Photonic Chip
- Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
- Mode-Locked Topological Insulator Laser Utilizing Synthetic Dimensions
- Photonic time crystals: Theory and applications
- Sub-symmetry protected topological states
- Quantum time reflection and refraction of ultracold atoms
- Measuring the winding number in a large-scale chiral quantum walk
- versus : Dispersion and Energy Constraints on Time-Varying Photonic Materials and Time Crystals
- Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension
- Topological Time Crystals
- Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices
- Spatiotemporal refraction of light in an epsilon-near-zero ITO layer
- Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
- Probing bulk topological invariants using leaky photonic lattices
- How to Directly Measure Floquet Topological Invariants in Optical Lattices
- Topological space-time crystal
- Time reflection and refraction in synthetic frequency dimension
- Topological holographic quench dynamics in a synthetic dimension
- Probing band topology using modulational instability
- Observation of non-Hermitian antichiral edge currents
- Detecting Bulk Topology of Quadrupolar Phase from Quench Dynamics
- Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
- Berry Curvature and Bulk-Boundary Correspondence from Transport Measurement for Photonic Chern Bands
- Non-Hermitian Chern insulator protected by generalized rotational symmetry
- Signature of edge states in resonant wave scattering