Time reflection and refraction in synthetic frequency dimension
arXiv:2209.03539 · doi:10.1103/PhysRevResearch.5.L012046
Abstract
The duality of space and time in Maxwell's equations has prompted interest in time boundaries and the accompanying temporal analog of spatial reflection and refraction. However, achieving observable time boundary effects at optical frequencies in real materials is challenging. In this work, we demonstrate that time reflection and refraction can be observed in a two-band model centered around a non-zero reference energy. Our model can be physically implemented in the synthetic frequency dimension as a system of two coupled dynamically-modulated ring resonators. We find that modulation at microwave frequencies is sufficient to observe time boundary effects for optical waves in synthetic frequency dimension. Our work shows that implementing multi-band models in synthetic dimensions opens a new avenue for further exploration of time boundaries.
arXiv comment9 pages, 4 figures; fixed typo in equation label
References in corpus (24)
- Photonics of Time-Varying Media
- Synthetic Dimension in Photonics
- Topological quantum matter in synthetic dimensions
- Photonic Topological Insulator in Synthetic Dimensions
- Topology of photonic time-crystals
- 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
- Amplified Emission by Atoms and Lasing in Photonic Time Crystals
- 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
- Topological frequency conversion in strongly driven quantum systems
- Inverse Prism based on Temporal Discontinuity and Spatial Dispersion
- Temporal multilayer structures for designing higher-order transfer functions using time-varying metamaterials
- Light Emission by Free Electrons in Photonic Time-Crystals
- Higher-order topological insulators in synthetic dimensions
- High-dimensional frequency crystals and quantum walks in electro-optic microcombs
- Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
- Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
- A synthetic gauge field for two-dimensional time-multiplexed quantum random walks
- Arbitrary linear transformations for photons in the frequency synthetic dimension
- Creating boundaries along a synthetic frequency dimension
- Deterministic photonic quantum computation in a synthetic time dimension
- Setting Boundaries with Memory: Generation of Topological Boundary States in Floquet-Induced Synthetic Crystals
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- A comprehensive review on developments of synthetic dimensions
- Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
- Extreme narrow band in Moiré Photonic time crystal
- Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
- 2D Topological Edge States in Periodic Space-Time Interfaces
- High-Order Perfect Absorption in the Absence of Exceptional Point
- Topological energy pumping in a quasi-periodically driven four-level system