High-dimensional frequency crystals and quantum walks in electro-optic microcombs
arXiv:1909.01303 · doi:10.1364/OPTICA.395114
Abstract
Synthetic optical structures have enabled studies of various physical processes and discoveries of new phenomena in a controllable manner. Past realizations, using for example coupled optical waveguides, were however limited in size and dimensionality. Here we theoretically propose and experimentally demonstrate optical frequency crystals of arbitrary dimensions, formed by hundreds of coupled spectral modes within an on-chip electro-optic frequency comb. We show a direct link between the measured optical transmission spectrum and the density-of-state of frequency crystals, validated by measurements of one-, two-, three- and four-dimensional crystals with no restrictions to further expand the dimensionality. We measure signatures of quantum random walks and Bloch oscillations in the frequency domain of light in one- and two-dimensional synthetic lattices. Our work employs a quantum description of phase modulation11 to describe resonant electro-optic frequency combs, and shows that they enable the study of exotic crystal properties, topologies and quantum dynamics, while providing a versatile platform to manipulate quantum information in the optical frequency domain.
arXiv comment22 pages, 4 figures
References in corpus (26)
- Topological Photonics
- Broadband electro-optic frequency comb generation in an integrated microring resonator
- Anderson localization and nonlinearity in one dimensional disordered photonic lattices
- Quantum walks of correlated particles
- Quantum walks: a comprehensive review
- Monolithic Ultrahigh-Q Lithium Niobate Microring Resonator
- Integrated micro-comb sources for quantum optical applications
- Synthetic gauge fields in synthetic dimensions
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Wavelength-Multiplexed Quantum Networks with Ultrafast Frequency Combs
- Synthetic Dimension in Photonics
- Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb
- Quantum walk of a trapped ion in phase space
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Quantum and classical correlations in waveguide lattices
- Frequency-encoded photonic qubits for scalable quantum information processing
- Photonic gauge potential in a system with a synthetic frequency dimension
- Experimental Two-dimensional Quantum Walk on a Photonic Chip
- Supersymmetric Optical Structures
- Experimental band structure spectroscopy along a synthetic dimension
- Controllable two-photon interference with versatile quantum frequency processor
- Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
- Quantum Model for Electro-Optical Phase Modulation
- Electric fields for light: Propagation of microwave photons along a synthetic dimension
- High-dimensional generalizations of the kagome and diamond crystals and the decorrelation principle for periodic sphere packings
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- Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
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- Simulating graphene dynamics in one-dimensional modulated ring array with synthetic dimension
- Exploring Shallow-Depth Boson Sampling: Towards Scalable Quantum Supremacy
- N-Way Frequency Beamsplitter for Quantum Photonics
- Optical frequency tweezers
- 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
- Classical simulability of constant-depth linear-optical circuits with noise
- Creating high-dimensional topological physics using a single ring resonator
- How to realize compact and non-compact localized states in disorder-free hypercube networks
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- Quantum interference with time-frequency modes and multiple-photons generated by a silicon nitride microresonator
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- Time-resolved spectroscopy of noise-driven collective states of light
- Phonon-induced anomalous gauge potential for photonic isolation in frequency space