Simulation of higher-order topological phases in 2D spin-phononic crystal networks

Abstract

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively control and enhance the bipartite silicon-vacancy (SiV) center arrays, so as to obtain the chiral symmetry-protected spin-spin couplings. More importantly, the Floquet engineering spin-spin interactions support rich quantum phases associated with topological invariants. In momentum space, we analyze and simulate the topological nontrivial properties of the one- and two-dimensional system, and show that higher-order topological phases can be achieved under the appropriate periodic driving parameters. As an application in quantum information processing, we study the robust quantum state transfer via topologically protected edge states. This work opens up new prospects for studying quantum acoustic, and offers an experimentally feasible platform for the study of higher-order topological phases of matter.

15 pages and 9 figures. arXiv admin note: text overlap with arXiv:2001.01397

References in corpus (77)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Non-Abelian Anyons and Topological Quantum Computation
• Topological Photonics
• Classification of topological quantum matter with symmetries
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Experimental realisation of the topological Haldane model
• Quantized Electric Multipole Insulators
• Chiral Quantum Optics
• Higher-Order Topological Insulators
• Acoustic topological insulator and robust one-way sound transport
• Topological Band Theory for Non-Hermitian Hamiltonians
• Observation of a phononic quadrupole topological insulator
• A topological quantum optics interface
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Coherent control of single spins in silicon carbide at room temperature
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Novel Topological Phase with Zero Berry Curvature
• Observation of second-order topological insulators in sonic crystals
• Silicon-Vacancy Spin Qubit in Diamond: A Quantum Memory Exceeding 10 ms with Single-Shot State Readout
• Effective Hamiltonian Theory and Its Applications in Quantum Information
• The electronic structure of the silicon vacancy color center in diamond
• Floquet-Bloch theory and topology in periodically driven lattices
• Quantum control of surface acoustic wave phonons
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Experimental Realization of Acoustic Chern Insulator
• Phonon-mediated quantum state transfer and remote qubit entanglement
• Optimized optomechanical crystal cavity with acoustic radiation shield
• Chip-scale nanofabrication of single spins and spin arrays in diamond
• Creation and control of multi-phonon Fock states in a bulk acoustic wave resonator
• Strain-mediated coupling in a quantum dot-mechanical oscillator hybrid system
• Strain engineering of the silicon-vacancy center in diamond
• Topological Phases of Sound and Light
• Floquet Fractional Chern Insulator in Doped Graphene
• Effective Hamiltonians for periodically driven systems
• Robust zero-energy modes in an electronic higher-order topological insulator: the dimerized Kagome lattice
• Quantum electrodynamics near a photonic band-gap
• An integrated nanophotonic quantum register based on silicon-vacancy spins in diamond
• Coherent control of the silicon-vacancy spin in diamond
• Hybrid quantum device with nitrogen-vacancy centers in diamond coupled to carbon nanotubes
• Controlling the coherence of a diamond spin qubit through strain engineering
• Phonon networks with SiV centers in diamond waveguides
• Realization of an optomechanical interface between ultracold atoms and a membrane
• Diamond optomechanical crystals
• Dimensional Crossover of Topological Edge States in Su-Schrieffer-Heeger Model
• Robust quantum state transfer via topological edge states in superconducting qubit chains
• Resolved Sideband Emission of InAs/GaAs Quantum Dots Strained by Surface Acoustic Waves
• Coherent Acoustic Control of a Single Silicon Vacancy Spin in Diamond
• Floquet Topological States in Shaking Optical Lattices
• A fiber-coupled diamond quantum nanophotonic interface
• Higher-order topological odd-parity superconductors
• All-optical control of the silicon-vacancy spin in diamond at millikelvin temperatures
• Optomechanics in an ultrahigh-Q slotted 2D photonic crystal cavity
• Enhancing spin-phonon and spin-spin interactions using linear resources in a hybrid quantum system
• Observation of topological magnon insulator states in a superconducting circuit
• Sympathetic cooling of a membrane oscillator in a hybrid mechanical-atomic system
• Spontaneous Emission in a Matter-Wave Open Quantum System
• Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
• Quantum control and entanglement using periodic driving fields
• Hybrid quantum device based on NV centers in diamond nanomechanical resonators plus superconducting waveguide cavities
• Scaling Phononic Quantum Networks of Solid-State Spins with Closed Mechanical Subsystems
• Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
• Observation of edge waves in a two-dimensional Su-Schrieffer-Heeger acoustic network
• Floquet engineering to exotic topological phases in systems of cold atoms
• Hybrid quantum system with nitrogen-vacancy centers in diamond coupled to surface phonon polaritons in piezomagnetic superlattices
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Quantum state transfer via acoustic edge states in a 2D optomechanical array
• Phononic waveguide assisted steady state entanglement of SiV centers
• Simulation of topological phases with color center arrays in phononic crystals
• Topological edge states in periodically-driven trapped-ion chains
• Simulation of 1D topological phases in driven quantum dot arrays
• Tensor network approach to phase transitions of a non-Abelian topological phase
• Multi-phonon interactions between nitrogen-vacancy centers and nanomechanical resonators
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Band-gap-engineered spin-phonon, and spin-spin interactions with defect centers in diamond coupled to phononic crystals

Cited by in corpus (8)

• Enhanced tripartite interactions in spin-magnon-mechanical hybrid systems
• Nonreciprocal phonon blockade
• Enhancing the spin-photon coupling with a micromagnet
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Exotic quantum light-matter interactions in bilayer square lattices
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Quantum router of silicon-vacancy centers via a diamond waveguide
• Collective radiance with NV centers coupled to nonlinear phononic waveguides