Quantum registers based on single NV + n 13C centers in diamond: I. The spin Hamiltonian method

Низовцев, А. П.; Kilin, S. Ya.; Pushkarchuk, V. A.; Pushkarchuk, A. L.; Kuten, S. A.

doi:10.1134/s0030400x10020128

Cited by 15 publications

(22 citation statements)

References 21 publications

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“…isovalue (=0.01 au −3 , 0.001 au −3 and 0.0001 au −3 ) surfaces of the spin density distribution over the cluster are shown (using two different points of view) in figure 3, with the semi-transparent red/blue lobes corresponding to positive/negative values of the spin density. One can see from figure 3(a) that, as is well known (see, e.g., [9,33,[35][36][37][38][39][40]), the spin density is mostly positive and localized on the three nearest-neighbor 13 C atoms of the vacancy. At smaller absolute isovalues (=0.001 au −3 and 0.0001 au −3 ) there are both positive and negative lobes extending far enough from the Z axis and localized basically near and above the diamond bilayer containing the vacancy of the NV center that is just in the area where the non-axial stability positions are located.…”

Section: Position/familymentioning

confidence: 71%

Non-flipping¹³C spins near an NV center in diamond: hyperfine and spatial characteristics by density functional theory simulation of the C₅₁₀[NV]H₂₅₂cluster

et al. 2018

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Single NV centers in diamond coupled by hyperfine interaction (hfi) to neighboring 13 C nuclear spins are now widely used in emerging quantum technologies as elements of quantum memory adjusted to a nitrogen-vacancy (NV) center electron spin qubit. For nuclear spins with low flip-flop rate, single shot readout was demonstrated under ambient conditions. Here we report on a systematic search for such stable NV− 13 C systems using density functional theory to simulate the hfi and spatial characteristics of all possible NV− 13 C complexes in the H-terminated cluster C 510 [NV] -H 252 hosting the NV center. Along with the expected stable 'NV-axial− 13 C' systems wherein the 13 C nuclear spin is located on the NV axis, we found for the first time new families of positions for the 13 C nuclear spin exhibiting negligible hfi-induced flipping rates due to near-symmetric local spin density distribution. Spatially, these positions are located in the diamond bilayer passing through the vacancy of the NV center and being perpendicular to the NV axis. Analysis of available publications showed that, apparently, some of the predicted non-axial near-stable NV− 13 C systems have already been observed experimentally. A special experiment performed on one of these systems confirmed the prediction made.

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Section: Position/familymentioning

confidence: 71%

Non-flipping¹³C spins near an NV center in diamond: hyperfine and spatial characteristics by density functional theory simulation of the C₅₁₀[NV]H₂₅₂cluster

et al. 2018

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“…Full exploitation of this potential requires accurate knowledge of the hyperfine interaction, including the anisotropic (tensor) components. The interaction tensor has been calculated by DFT [23][24][25][26], but only a limited number of experimental studies of this hyperfine interaction exist to date [27][28][29]. In this work, we present a detailed analysis of this hyperfine interaction.…”

mentioning

confidence: 99%

Characterization of hyperfine interaction between an NV electron spin and a first-shellC13nuclear spin in diamond

Rao

Suter

2016

Phys. Rev. B

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The Nitrogen-Vacancy (NV) center in diamond has attractive properties for a number of quantum technologies that rely on the spin angular momentum of the electron and the nuclei adjacent to the center. The nucleus with the strongest interaction is the 13 C nuclear spin of the first shell. Using this degree of freedom effectively hinges on precise data on the hyperfine interaction between the electronic and the nuclear spin. Here, we present detailed experimental data on this interaction, together with an analysis that yields all parameters of the hyperfine tensor, as well as its orientation with respect to the atomic structure of the center.PACS numbers: 03.67. Lx, 76.70.Hb, 33.35.+r, 61.72.JNitrogen-Vacancy (NV) centers in diamond have interesting properties for applications in room-temperature metrology, spectroscopy, and Quantum Information Processing (QIP) [1][2][3][4][5][6]. Nuclear spins, coupled by hyperfine interaction to the electron spin of the NV-center, are important for many of these applications [1,3,[6][7][8][9][10][11][12][13]. For example, in QIP applications, the nuclear spins can hold quantum information [12,13], serving as part of a quantum register [1]. Accurate knowledge of the hyperfine interaction is necessary, e.g., for designing precise and fast control sequences for the nuclear spins [14,15]. With a known Hamiltonian, control sequences can be tailored by optimal control techniques to dramatically improve the speed and precision of multi-qubit gates [16][17][18][19].The 13 C nuclear spin of the first coordination shell is a good choice for a qubit due to its large hyperfine coupling to the electronic spin of the NV center, which can be used to implement fast gate operations [3,20,21] or highspeed quantum memories [22]. Full exploitation of this potential requires accurate knowledge of the hyperfine interaction, including the anisotropic (tensor) components. The interaction tensor has been calculated by , but only a limited number of experimental studies of this hyperfine interaction exist to date [27][28][29]. In this work, we present a detailed analysis of this hyperfine interaction. The experiments were carried out on single NV centers of a diamond crystal with a natural abundance of 13 C and a nitrogen concentration of < 5 ppb using a home-built confocal microscope and microwave electronics for excitation [22].The presence of a nuclear spin in the first coordination shell reduces the symmetry of the NV center from C 3V to C S , a single mirror plane. This symmetry plane passes through the NV symmetry axis and the 13 C nuclear spin as illustrated in Fig. 1(a). The NV symmetry axis defines the z-axis of the NV frame of reference, the x-axis lies in the symmetry plane of the center, and the y-axis is perpendicular to both of them. Due to the symmetry of the system, only those elements of the hyperfine tensor that are invariant with respect to the inversion of the y-coordinate can be non-zero. Hence, the hyperfine Hamiltonian in the NV frame of reference can be written as(1) Here, S α an...

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“…The impurity locations were selected randomly from a spherical integer lattice with a radius of 5 units. This means about 4 % of the lattice sites are occupied by 13 C impurities whereas in real diamond the natural abundance is 1.1 % [32]. Of course we should really choose the correct diamond lattice locations [32] 1.7843 Table 3.…”

Section: (J)mentioning

confidence: 99%

“…This means about 4 % of the lattice sites are occupied by 13 C impurities whereas in real diamond the natural abundance is 1.1 % [32]. Of course we should really choose the correct diamond lattice locations [32] 1.7843 Table 3. Numerical values of parameters for memory functions of mean field master equation…”

Section: (J)mentioning

confidence: 99%

“…The system-bath coupling should consist of a complete tensor coupling all system spin components with all bath spin components [32], but the present formulation of the master equation can only handle a single system coupling operator. We thus choose arbitrarily to include only the x-components, i.e., we pick a system-bath coupling operator of the form…”

Section: (J)mentioning

confidence: 99%

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Optimally chosen Nakajima–Zwanzig master equation for mean field approximation

Wilkie¹,

Wong²

2012

Physics Letters A

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Abstract.We define an ensemble of projection operators, each of which has an exact associated Nakajima-Zwanzig master equation for quantum open system evolution. A mean field approximation for the memory kernels is introduced that yields, for an optimally chosen projection operator, a completely determined inhomogeneous master equation. Previous proofs of positivity and equilibration are extended to these new inhomogeneous non-Markovian master equations. We study a nitrogen vacancy center in diamond interacting with 13 C impurities to illustrate the method.

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Quantum registers based on single NV + n 13C centers in diamond: I. The spin Hamiltonian method

Cited by 15 publications

References 21 publications

Non-flipping¹³C spins near an NV center in diamond: hyperfine and spatial characteristics by density functional theory simulation of the C₅₁₀[NV]H₂₅₂cluster

Non-flipping¹³C spins near an NV center in diamond: hyperfine and spatial characteristics by density functional theory simulation of the C₅₁₀[NV]H₂₅₂cluster

Characterization of hyperfine interaction between an NV electron spin and a first-shellC13nuclear spin in diamond

Optimally chosen Nakajima–Zwanzig master equation for mean field approximation

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Quantum registers based on single NV + n 13C centers in diamond: I. The spin Hamiltonian method

Cited by 15 publications

References 21 publications

Non-flipping13C spins near an NV center in diamond: hyperfine and spatial characteristics by density functional theory simulation of the C510[NV]H252cluster

Non-flipping13C spins near an NV center in diamond: hyperfine and spatial characteristics by density functional theory simulation of the C510[NV]H252cluster

Characterization of hyperfine interaction between an NV electron spin and a first-shellC13nuclear spin in diamond

Optimally chosen Nakajima–Zwanzig master equation for mean field approximation

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Product

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Non-flipping¹³C spins near an NV center in diamond: hyperfine and spatial characteristics by density functional theory simulation of the C₅₁₀[NV]H₂₅₂cluster

Non-flipping¹³C spins near an NV center in diamond: hyperfine and spatial characteristics by density functional theory simulation of the C₅₁₀[NV]H₂₅₂cluster