Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
arXiv:2303.10545 · doi:10.1038/s41377-023-01196-1
Abstract
The concept of synthetic dimensions in photonics provides a versatile platform in exploring multi-dimensional physics. Many of these physics are characterized by band structures in more than one dimensions. Existing efforts on band structure measurements in the photonic synthetic frequency dimension however are limited to either one-dimensional Brillouin zones or one-dimensional subsets of multi-dimensional Brillouin zones. Here we theoretically propose and experimentally demonstrate a method to fully measure multi-dimensional band structures in the synthetic frequency dimension. We use a single photonic resonator under dynamical modulation to create a multi-dimensional synthetic frequency lattice. We show that the band structure of such a lattice over the entire multi-dimensional Brillouin zone can be measured by introducing a gauge potential into the lattice Hamiltonian. Using this method, we perform experimental measurements of two-dimensional band structures of a Hermitian and a non-Hermitian Hamiltonian. The measurements reveal some of the general properties of point-gap topology of the non-Hermitian Hamiltonian in more than one dimensions. Our results demonstrate experimental capabilities to fully characterize high-dimensional physical phenomena in the photonic synthetic frequency dimension.
References in corpus (40)
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Topological Band Theory for Non-Hermitian Hamiltonians
- An Open-System Quantum Simulator with Trapped Ions
- Anomalous edge state in a non-Hermitian lattice
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Synthetic Dimension in Photonics
- Second-Order Topological Phases in Non-Hermitian Systems
- Universal non-Hermitian skin effect in two and higher dimensions
- Faster than Hermitian Quantum Mechanics
- 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
- Higher-order non-Hermitian skin effect
- Quantum simulation of an extra dimension
- Observation of arbitrary topological windings of a non-Hermitian band
- A single photonic cavity with two independent physical synthetic dimensions
- Experimental band structure spectroscopy along a synthetic dimension
- Observation of Fast Evolution in Parity-Time-Symmetric System
- Higher-order topological insulators in synthetic dimensions
- Spectral photonic lattices with complex long-range coupling
- High-dimensional frequency crystals and quantum walks in electro-optic microcombs
- Synthetic photonic lattices: new routes towards all-optical photonic devices
- Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
- Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
- A synthetic gauge field for two-dimensional time-multiplexed quantum random walks
- Creating boundaries along a synthetic frequency dimension
- Synthetic dimension band structures on a Si CMOS photonic platform
- Eigenvalue topology of non-Hermitian band structures in two and three dimensions
- Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices
- Experimental observation of information flow in the anti--symmetric system
- Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion
- Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension
- Quantum entropy of systems described by non-Hermitian Hamiltonians
- Mirror-induced reflection in the frequency domain
- Topological band structure via twisted photons in a degenerate cavity
- Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
Cited by in corpus (17)
- Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension
- A comprehensive review on developments of synthetic dimensions
- Life as the Explanation of the Measurement Problem
- Observation of non-Hermitian antichiral edge currents
- Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
- Non-Hermitian topological phases and skin effects in kagome lattices
- Quantized Hall drift in a frequency-encoded photonic Chern insulator
- Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
- Construction of various time-dependent Hamiltonians on a single photonic chip
- Creating high-dimensional topological physics using a single ring resonator
- Controlled manipulation of solitons in a recirculating fiber loop using external potentials
- Spectral shaping of fast-gain frequency combs through phases in synthetic dimensions
- Hybrid patterns and solitonic frequency combs in non-Hermitian Kerr Cavities
- Experimental observation of energy-band Riemann surface
- Quantum walk with coherent multiple translations induces fast quantum gate operations
- Synthetic-lattice Bloch wave dynamics in a single-mode microwave resonator
- Observation of non-Hermitian point gap in photonic crystals