Topological Phases of Sound and Light

Abstract

Topological states of matter are particularly robust, since they exploit global features insensitive to local perturbations. In this work, we describe how to create a Chern insulator of phonons in the solid state. The proposed implementation is based on a simple setting, a dielectric slab with a suitable pattern of holes. Its topological properties can be wholly tuned in-situ by adjusting the amplitude and frequency of a driving laser that controls the optomechanical interaction between light and sound. The resulting chiral, topologically protected phonon transport along the edges can be probed completely optically. Moreover, we identify a regime of strong mixing between photon and phonon excitations, which gives rise to a large set of different topological phases. This would be an example of a Chern insulator produced from the interaction between two physically very different particle species, photons and phonons.

References in corpus (54)

• Topological Insulators
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Cavity Optomechanics
• Topological Photonics
• Photonic Floquet Topological Insulators
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Laser cooling of a nanomechanical oscillator into its quantum ground state
• Experimental realisation of the topological Haldane model
• Quantum Spin Hall Effect
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Imaging topological edge states in silicon photonics
• Optomechanically induced transparency
• Robust optical delay lines via topological protection
• Electromagnetically Induced Transparency and Slow Light with Optomechanics
• Photovoltaic Hall effect in graphene
• Topological Acoustics
• Light-induced gauge fields for ultracold atoms
• Optomechanical Crystals
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• The Electromagnetically Induced Transparency in Mechanical Effects of Light
• Topological Boundary Modes in Isostatic Lattices
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Observation of topologically protected bound states in a one dimensional photonic system
• Theory of Thermal Hall Effect in Quantum Magnets
• Collective dynamics in optomechanical arrays
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Topological modes bound to dislocations in mechanical metamaterials
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Topological phonon modes and their role in dynamic instability of microtubules
• Quantum many-body dynamics in optomechanical arrays
• Proposal for an Optomechanical Traveling Wave Phonon-Photon Translator
• Topological Polaritons
• Optomechanically induced non-reciprocity in microring resonators
• Artificial Gauge Field for Photons in Coupled Cavity Arrays
• Nonlinear conduction via solitons in a topological mechanical insulator
• Slowing and stopping light using an optomechanical crystal array
• Polariton $\mathbb{Z}$ Topological Insulator
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Strong coupling and long-range collective interactions in optomechanical arrays
• Two-dimensional phononic-photonic bandgap optomechanical crystal cavity
• Design of Optomechanical Cavities and Waveguides on a Simultaneous Bandgap Phononic-Photonic Crystal Slab
• Optomechanical coupling in a two-dimensional photonic crystal defect cavity
• Topological Polaritons and Excitons in Garden Variety Systems
• Optomechanical creation of magnetic fields for photons on a lattice
• Continuous mode cooling and phonon routers for phononic quantum networks
• Isolated Flat Bands and Spin-1 Conical Bands in Two-Dimensional Lattices
• Optomechanical circuits for nanomechanical continuous variable quantum state processing
• Optomechanics in an ultrahigh-Q slotted 2D photonic crystal cavity
• Selective tuning of high-Q silicon photonic crystal nanocavities via laser-assisted local oxidation
• Optomechanical Dirac Physics
• Photon-Assisted-Tunneling Toolbox for Quantum Simulations in Ion Traps
• Photon propagation in a one-dimensional optomechanical lattice

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• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Two-Dimensionally Confined Topological Edge States in Photonic Crystals
• Observation of topological valley modes in an elastic hexagonal lattice
• Valley Topological Phases in Bilayer Sonic Crystals
• Tunable topological phononic crystals
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• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
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• Observation of topologically protected helical edge modes in Kagome elastic plates
• Topological characterization of chiral models through their long time dynamics
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• Mesoscopic physics of nanomechanical systems
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• Observation of strong and tunable light-induced dipole-dipole interactions between optically levitated nanoparticles
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• Snowflake Topological Insulator for Sound Waves
• Observation of Acoustic Valley Vortex States and Valley-Chirality Locked Beam Splitting
• Topological quantum fluctuations and travelling wave amplifiers
• Optomechanically Induced Transparency at Exceptional Points
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Helical edge states and topological phase transitions in phononic systems using bi-layered lattices
• Fundamentals of optical non-reciprocity based on optomechanical coupling
• Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars
• Light-mediated cascaded locking of multiple nano-optomechanical oscillators
• Reconfigurable topological phases in next-nearest-neighbor coupled resonator lattices
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• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
• Noise-Induced Transitions in Optomechanical Synchronization
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• Unifying Brillouin scattering and cavity optomechanics
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• Topological phases and nonreciprocal edge states in non-Hermitian Floquet Insulators
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• Classical Dynamical Gauge Fields in Optomechanics
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• Weyl magnons in pyrochlore antiferromagnets with all-in-all-out orders
• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• Machine learning topological phases in real space
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• Switchable phonon diodes using nonlinear topological Maxwell lattices
• Nanomechanical resonators with ultra-high-$Q$ perimeter modes
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Nonreciprocal Signal Routing in an Active Quantum Network
• Designing topological interface states in phononic crystals based on the full phase diagrams
• Non-reciprocal Radio Frequency Transduction in a Parametric Mechanical Artificial Lattice
• Two-membrane cavity optomechanics: non-linear dynamics
• Tunable Band Topology in Gyroscopic Lattices
• Quantum state transfer via acoustic edge states in a 2D optomechanical array
• Dissipation-assisted prethermalization in long-range interacting atomic ensembles
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Topological mechanics in quasicrystals
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Spatial Distribution of Phase Singularities in Optical Random Vector Waves
• Kink-antikink asymmetry and impurity interactions in topological mechanical chains
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
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• Photonic Versus Electronic Quantum Anomalous Hall Effect
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• Mechanical Graphene
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• Floquet control of optomechanical bistability in multimode systems
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• The Krein-Schrödinger Formalism of Bosonic BdG and Certain Classical Systems and Their Topological Classification
• Chimera states in small disordered optomechanical arrays
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• Topological quantum paramagnet in a quantum spin ladder
• Anderson Localization of Composite Excitations in Disordered Optomechanical Arrays
• Spin-orbit coupling in a hexagonal ring of pendula
• Quantum collective motion of macroscopic mechanical oscillators
• Thermal noise cancellation for optomechanically induced nonreciprocity in a whispering-gallery-mode microresonator
• Quench Dynamics in 1D Optomechanical Arrays
• Supersymmetry "protected" topological phases of isostatic lattices and kagome antiferromagnets
• Entangled multi-component 4D quantum Hall states from photonic crystal defects
• Generating Synthetic Magnetism via Floquet Engineering Auxiliary Qubits in Phonon-Cavity-Based Lattice
• Finite-Frequency Topological Maxwell Modes in Mechanical Self-Dual Kagome Lattices
• Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Dissipative Pairing Interactions: Quantum Instabilities, Topological Light, and Volume-Law Entanglement
• Quadrature protection of squeezed states in a one-dimensional photonic topological insulator
• Tunneling in the Brillouin Zone: Theory of Backscattering in Valley Hall Edge Channels
• Topology of rotating stratified fluids with and without background shear flow
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Dynamical gauge fields with bosonic codes
• Controlling the Deformation of Metamaterials: Corner Modes via Topology
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• Elastic Wave Eigenmode Solver for Acoustic Waveguides
• Topological interface states mediated by spontaneous symmetry breaking
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
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• Unidirectional Quantum Transport in Optically Driven $V$-type Quantum Dot Chains
• Quantum Zeno blockade in optomechanical systems
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• Enhanced Cavity Optomechanics with Quantum-well Exciton Polaritons
• Quadrature skyrmions in two-dimensionally arrayed parametric resonators