Properties of nitrogen-vacancy centers in diamond: group theoretic approach

Abstract

We present a procedure that makes use of group theory to analyze and predict the main properties of the negatively charged nitrogen-vacancy (NV) center in diamond. We focus on the relatively low temperatures limit where both the spin-spin and spin-orbit effects are important to consider. We demonstrate that group theory may be used to clarify several aspects of the NV structure, such as ordering of the singlets in the ($e^2$) electronic configuration, the spin-spin and the spin-orbit interactions in the ($ae$) electronic configuration. We also discuss how the optical selection rules and the response of the center to electric field can be used for spin-photon entanglement schemes. Our general formalism is applicable to a broad class of local defects in solids. The present results have important implications for applications in quantum information science and nanomagnetometry.

30 pages, 6 figures

References in corpus (9)

• High-sensitivity diamond magnetometer with nanoscale resolution
• Scanning magnetic field microscope with a diamond single-spin sensor
• Stark shift control of single optical centers in diamond
• Ab initio supercell calculations on nitrogen-vacancy center in diamond: its electronic structure and hyperfine tensors
• Coherent Population Trapping of Single Spins in Diamond Under Optical Excitation
• Optical properties of the nitrogen-vacancy singlet levels in diamond
• Excited-state spectroscopy using single-spin manipulation in diamond
• New infrared emission of the NV centre in diamond: Zeeman and uniaxial stress studies
• Time-averaging within the excited state of the nitrogen-vacancy centre in diamond

Cited by in corpus (195)

• The nitrogen-vacancy colour centre in diamond
• Avoiding power broadening in optically detected magnetic resonance of single NV defects for enhanced DC-magnetic field sensitivity
• Electronic properties and metrology of the diamond NV- center under pressure
• The electronic structure of the silicon vacancy color center in diamond
• Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator
• Resolved sidebands in a strain-coupled hybrid spin-oscillator system
• First-principles theory of the luminescence lineshape for the triplet transition in diamond NV centre
• Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing
• Strain engineering of the silicon-vacancy center in diamond
• Measurement and Control of Single Nitrogen-Vacancy Center Spins above 600 K
• Two-photon quantum interference from separate nitrogen vacancy centers in diamond
• Optomechanical Quantum Control of a Nitrogen Vacancy Center in Diamond
• Electrical and optical control of single spins integrated in scalable semiconductor devices
• Observation of an environmentally insensitive solid state spin defect in diamond
• Color centers in hexagonal boron nitride monolayers: A group theory and ab-initio analysis
• State-independent proof of Kochen-Specker theorem with 13 rays
• Quantum interference of single photons from remote nitrogen-vacancy centers in diamond
• Photonic architecture for scalable quantum information processing in NV-diamond
• The temperature shifts of the resonances of the NV- center in diamond
• Optical signatures of silicon-vacancy spins in diamond
• Phonon-Induced Population Dynamics and Intersystem Crossing in Nitrogen-Vacancy Centers
• Spin-Dependent Quantum Emission in Hexagonal Boron Nitride at Room Temperature
• Isolated spin qubits in SiC with a high-fidelity infrared spin-to-photon interface
• Quantum simulations of materials on near-term quantum computers
• Imaging the local charge environment of nitrogen-vacancy centers in diamond
• All-optical formation of coherent dark states of silicon-vacancy spins in diamond
• Electron spin resonance of nitrogen-vacancy centers in optically trapped nanodiamonds
• Optical holonomic single quantum gates with a geometric spin under a zero field
• State-selective intersystem crossing in nitrogen-vacancy centers
• Coupling a Surface Acoustic Wave to an Electron Spin in diamond via a Dark State
• Dynamic stabilization of the optical resonances of single nitrogen-vacancy centers in diamond
• High fidelity transfer and storage of photon states in a single nuclear spin
• Phonon Cooling and Lasing with Nitrogen-Vacancy Centers in Diamond
• Cavity quantum electrodynamics with color centers in diamond
• All-optical control of a solid-state spin using coherent dark states
• Spin-strain interaction in nitrogen-vacancy centers in diamond
• Single-molecule Scale Magnetic Resonance Spectroscopy using Nitrogen-Vacancy Centers in Diamond
• Rotation of quantum impurities in the presence of a many-body environment
• Electrical Tuning of Single Nitrogen-Vacancy Center Optical Transitions Enhanced by Photoinduced Fields
• Electromagnetically-induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing
• Quantum Embedding Theory for Strongly-correlated States in Materials
• High resolution spectroscopy of single NV defects coupled with nearby ${}^{13}$C nuclear spins in diamond
• \emph{Ab initio} calculation of spin-orbit coupling for NV center in diamond exhibiting dynamic Jahn-Teller effect
• Silicon vacancy center in 4H-SiC: Electronic structure and spin-photon interfaces
• Theory of the optical spinpolarization loop of the nitrogen-vacancy center in diamond
• Diamond surface engineering for molecular sensing with nitrogen-vacancy centers
• Strain coupling of a mechanical resonator to a single quantum emitter in diamond
• Photophysics of single nitrogen-vacancy centers in diamond nanocrystals
• Measurement-induced steering of quantum systems
• The Infrared Absorption Band and Vibronic Structure of the Nitrogen-Vacancy Center in Diamond
• Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
• Electrically driven optical interferometry with spins in silicon carbide
• Stark Tuning and Electrical Charge State Control of Single Divacancies in Silicon Carbide
• Diamond Integrated Quantum Photonics: A Review
• Locality and digital quantum simulation of power-law interactions
• Antisite defect qubits in monolayer transition metal dichalcogenides
• Green's function formulation of quantum defect embedding theory
• Theoretical model of the dynamic spin polarization of nuclei coupled to paramagnetic point defects in diamond and silicon carbide
• Coherent dynamics of strongly interacting electronic spin defects in hexagonal boron nitride
• First principles predictions of magneto-optical data for semiconductor defects: the case of divacancy defects in 4H-SiC
• Coupling of nitrogen vacancy centers in nanodiamonds by means of phonons
• Identification and tunable optical coherent control of transition-metal spins in silicon carbide
• Quantum embedding methods for correlated excited states of point defects: Case studies and challenges
• Single-Photon-Triggered Quantum Phase Transition
• Optically Enhanced Electric Field Sensing Using Nitrogen-Vacancy Ensembles
• Spin-Mechanical Scheme with Color Centers in Hexagonal Boron Nitride Membranes
• Orbital state manipulation of a diamond nitrogen-vacancy center using a mechanical resonator
• Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities
• Predicted strong coupling of solid-state spins via a single magnon mode
• Longitudinal spin-relaxation in nitrogen-vacancy centers in electron irradiated diamond
• Low charge-noise nitrogen-vacancy centers in diamond created using laser writing with a solid-immersion lens
• Optically coherent nitrogen-vacancy defect centers in diamond nanostructures
• Wide range electrical tunability of single photon emission from chromium-based colour centres in diamond
• Observation of the Quantum Zeno Effect on a Single Solid State Spin
• Full stress tensor measurement using colour centres in diamond
• Excited state properties of point defects in semiconductors and insulators investigated with time-dependent density functional theory
• Machine-learning-enhanced quantum sensors for accurate magnetic field imaging
• Exploiting ionization dynamics in the nitrogen vacancy center for rapid, high-contrast spin and charge state initialization
• Preparing multiparticle entangled states of NV centers via adiabatic ground-state transitions
• Optimal State Transfer and Entanglement Generation in Power-law Interacting Systems
• A multiconfigurational study of the negatively charged nitrogen-vacancy center in diamond
• Broadband loop gap resonator for nitrogen vacancy centers in diamond
• Generating spin squeezing states and Greenberger-Horne-Zeilinger entanglement using a hybrid phonon-spin ensemble in diamond
• Spin polarization through Intersystem Crossing in the silicon vacancy of silicon carbide
• Phononic waveguide assisted steady state entanglement of SiV centers
• Optically detected magnetic resonance of nitrogen vacancies in a diamond anvil cell using designer diamond anvils
• Raman quantum memory based on an ensemble of nitrogen-vacancy centers coupled to a microcavity
• All optical control of a single electron spin in diamond
• Fast optical cooling of nanomechanical cantilever with the dynamical Zeeman effect
• Photoluminescence at the ground state level anticrossing of the nitrogen-vacancy center in diamond
• Alignment of the Diamond Nitrogen Vacancy Center by Strain Engineering
• Cooling phonons with phonons: acoustic reservoir-engineering with silicon-vacancy centers in diamond
• First-principles Studies of Strongly Correlated States in Defect Spin Qubits in Diamond
• Geometric spin echo under zero field
• Splitting of photo-luminescent emission from nitrogen-vacancy centers in diamond induced by ion-damage-induced stress
• Generation of entangled photon strings using NV centers in diamond
• Enhancing the spin-photon coupling with a micromagnet
• Infrared laser magnetometry with a NV doped diamond intracavity etalon
• $\text{Ab initio}$ and group theoretical study of properties of the ${\text{C}}_{\text{2}}{\text{C}}_{\text{N}}$ carbon trimer defect in h-BN
• Longitudinal spin relaxation model applied to point defect qubit systems
• Imaging ferroelectric domains with a single-spin scanning quantum sensor
• Construction and operation of a tabletop system for nanoscale magnetometry with single nitrogen-vacancy centers in diamond
• A single-molecule approach to ZnO defect studies: single photons and single defects
• Effect of Localization on Photoluminescence and Zero-Field Splitting of Silicon Color Centers
• Broadband, noise-free optical quantum memory with neutral nitrogen-vacancy centers in diamond
• Assignment of the NV0 575 nm zero-phonon line in diamond to a 2E-2A2 transition
• Giant nonlinear optical effects induced by nitrogen-vacancy centers in diamond crystals
• Low temperature photo-physics of single NV centers in diamond
• Microscopic modeling of the effect of phonons on the optical properties of solid-state emitters
• Single-Spin Readout and Quantum Sensing using Optomechanically Induced Transparency
• Solid state optical interconnect between distant superconducting quantum chips
• Temperature Dependent Photophysics of Single NV Centers in Diamond
• Locality and Heating in Periodically Driven, Power-law Interacting Systems
• Quantum noise spectroscopy of dynamical critical phenomena
• (111)-oriented, single crystal diamond tips for nanoscale scanning probe imaging of out-of-plane magnetic fields
• Quantification of Symmetry
• Electronic structure and magneto-optical properties of silicon-nitrogen-vacancy complexes in diamond
• NV-Metamaterial: Tunable Quantum Hyperbolic Metamaterial Using Nitrogen-Vacancy Centers in Diamond
• Quantum sensing of photonic spin density
• Optical Control of a Single Nuclear Spin in the Solid State
• Generation of a maximally entangled state using collective optical pumping
• Many-body localization in spin chains with the long-range transverse interactions: scaling of critical disorder with the system size
• Magnetic Resonance in Defect Spins mediated by Spin Waves
• Optically detected spin-mechanical resonance in silicon carbide membranes
• Nuclear Spin Quantum Memory in Silicon Carbide
• Optimal quantum optical control of spin in diamond
• Optically Induced Polarization and Depolarization of an Electron Spin in a Nitrogen-Vacancy Center of Diamond Nano-crystals
• Diamond Phononic Crystal Spin-Mechanical Resonators with Spectrally Stable Nitrogen Vacancy Centers
• Nuclear-spin-dependent coherent population trapping of single nitrogen vacancy centers in diamond
• Coherent microwave, optical, and mechanical quantum control of spin qubits in diamond
• Hyperfine Structure of Transition Metal Defects in SiC
• Discovery of Atomic Clock-Like Spin Defects in Simple Oxides from First Principles
• Dissipation-assisted preparation of steady spin-squeezed states of SiV centers
• Dissipative entanglement of solid-state spins in diamond
• Donor-Acceptor Pairs in Wide-Bandgap Semiconductors for Quantum Technology Applications
• Deterministic and Robust Entanglement of Nitrogen Vacancy Centers using Low-Q Photonic Crystal Cavities
• Spectroscopy Study on NV Sensors in Diamond-based High-pressure Devices
• A cavity-mediated quantum CPHASE gate between NV spin qubits in diamond
• {\textit{Ab initio} determination of pseudospin for paramagnetic defects in SiC
• Purification of an unpolarized spin ensemble into entangled singlet pairs
• Quantum Zeno and Zeno-like effects in nitrogen vacancy centers
• All-optical high-resolution magnetic resonance using a nitrogen-vacancy spin in diamond
• Magnetic field noise analyses generated by the interactions between a nitrogen vacancy center diamond and surface and bulk impurities
• Advances in Quantum Defect Embedding Theory
• All-optical control of the spin state in the NV-center in diamond
• Spin Structure and Resonant Driving of Spin-1/2 Defects in SiC
• Deterministic generation of an on-demand Fock state
• First-Principles Framework for the Prediction of Intersystem Crossing Rates in Spin Defects: The Role of Electron Correlation
• Long-range photon-mediated gate scheme between nuclear spin qubits in diamond
• Calculation of the energies of the multideterminant states of the nitrogen vacancy center in diamond with quantum Monte Carlo
• Coherent Electric-Field Control of Orbital state in a Neutral Nitrogen-Vacancy Center
• All-microwave holonomic control of an electron-nuclear two-qubit register in diamond
• Diamond Nitrogen-Vacancy Center Magnetometry: Advances and Challenges
• Enhanced quantum magnetometry with a laser-written integrated photonic diamond chip
• Theory of spin center sensing of diffusion
• Bilayer fractional quantum Hall states with ultracold dysprosium
• Interplay between charge and spin noise in the near-surface theory of decoherence and relaxation of $C_{3v}$ symmetry qutrit spin-1 centers
• Suppression of the optical linewidth and spin decoherence of a quantum spin center in a $p$$-$$n$ diode
• Quantum memory and non-demolition measurement of single phonon state with nitrogen-vacancy centers ensemble
• Thermodynamic Approach to Quantifying Incompatible Instruments
• Nonreciprocal transition between two nondegenerate energy levels
• Effect of phonons on the electron spin resonance absorption spectrum
• Efficient fabrication of high-density ensembles of color centers via ion implantation on a hot diamond substrate
• An efficient cooling of the quantized vibration by a four-level configuration
• Probing the Evolution of Electron Spin Wavefunction of NV Center in diamond via Pressure Tuning
• Implementations of two-photon four-qubit Toffoli and Fredkin gates assisted by nitrogen-vacancy centers
• Investigation of oxygen-vacancy complexes in diamond by means of \textit{ab initio} calculations
• Noisy Coherent Population Trapping: Applications to Noise Estimation and Qubit State Preparation
• Localized Nitrogen-Vacancy centers generated by low-repetition rate fs-laser pulses
• GPU-Accelerated Solution of the Bethe-Salpeter Equation for Large and Heterogeneous Systems
• Two-qubit quantum gates for defect qubits in diamond and similar systems
• Extinction of Light and Coherent Scattering by a Single Nitrogen-Vacancy Center in Diamond
• Temperature selective thermometry with sub-microsecond time resolution using dressed-spin states in diamond
• Laser and cavity cooling of a mechanical resonator with a Nitrogen-Vacancy center in diamond
• Fast optical cooling of a nanomechanical cantilever by a dynamical Stark-shift gate
• Realizing flexible two-qubit controlled phase gate with a hybrid solid-state system
• Exploring the nonlinear regime of light-matter interaction using electronic spins in diamond
• Optical signatures of Mott-superfluid transition in nitrogen-vacancy centers coupled to photonic crystal cavities
• Quantum Defects in 2D Transition Metal Dichalcogenides for Terahertz Technologies
• Engineering non-Markovianity from defect-phonon interactions
• Excitation spectrum as a resource for efficient two-qubit entangling gates
• Finding the nitrogen-vacancy singlet manifold energy level using charge conversion pulse sequences
• Nuclear spin relaxation in solid state defect quantum bits via electron-phonon coupling in their optical excited state
• Intersystem Crossing and Exciton-Defect Coupling of Spin Defects in Hexagonal Boron Nitride
• Optically Coherent Nitrogen-Vacancy Centers in HPHT Treated Diamonds
• Group theoretical and ab-initio description of color center candidates in fluorographene
• Modeling and Deciphering on Two Spin-polariton Entanglement Experiments in NV Centers of Diamond
• Observation of hierarchy of Hilbert space ergodicities in the quantum dynamics of a single spin
• Quantum router of silicon-vacancy centers via a diamond waveguide
• Elucidating the Inter-system Crossing of the Nitrogen-Vacancy Center up to Megabar Pressures
• Computation of the expectation value of the spin operator ${\hat{S}}^2$ for the Spin-Flip Bethe-Salpeter Equation
• Diamond spin sensors: A new way to probe nanomagnetism
• Anomalous zero-field splitting for hole spin qubits in Si and Ge quantum dots
• Spin-spin interactions in solids from mixed all-electron and pseudopotential calculations $-$ a path to screening materials for spin qubits
• Quantum Orbital-State Control of a Neutral Nitrogen-Vacancy Center at Millikelvin Temperatures