Taking advantage of multiplet structure for lineshape analysis in Fourier space

Beckert, Adrian; Sigg, H.; Aeppli, G.

doi:10.1364/oe.395877

Cited by 3 publications

(2 citation statements)

References 30 publications

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“…Our high-resolution instruments enable us to resolve the HF structure of the measured CF states to high precision; 115119-2 analysis methods which take advantage of this structure are described in Ref. [28]. We turn now to the theoretical understanding of the HF corrections to the measured CF states.…”

Section: Crystal-field Transitions With Hyperfine Interactionsmentioning

confidence: 99%

Precise determination of the low-energy electronuclear Hamiltonian of LiY1−xHoxF4

Beckert

Grimm²,

Hermans³

et al. 2022

Phys. Rev. B

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The insulating rare-earth magnet LiY 1−x Ho x F 4 has received great attention because a laboratory field applied perpendicular to its crystallographic c axis converts the low-energy electronic spin Hamiltonian into the (dilute) transverse field Ising model. The mapping between the real magnet and the transverse field Ising model is strongly dependent on the exact nature of the low-energy Hamiltonian for the material, which can be determined by spectroscopy in the dilute limit. The energies of the eigenstates are in the difficult terahertz (THz) regime, and here we use THz time domain and Fourier transform spectroscopy to directly measure the lowest crystal-field levels of LiY 1−x Ho x F 4 in the dilute limit, including nuclear hyperfine substructure. The high resolution of our measurements allows us to observe the nonequidistantly spaced Ho (I = 72 ) hyperfine transitions originating from dipolar and quadrupolar hyperfine interactions. We provide refined crystal-field parameters and extract the dipolar and quadrupolar hyperfine constants A J = 0.027 03 ± 0.000 03 cm −1 (810.3 ± 0.9 MHz) and B = 0.04 ± 0.01 cm −1 (1.2 ± 0.3 GHz), respectively. Thereupon we determine all crystal-field energy levels and magnetic moments of the 5 I8 ground-state manifold, including the (nonlinear) hyperfine corrections. The latter improve the prediction precision by a factor of 60 compared to previous crystal-field parameters. Additionally, we establish the far-infrared, low-temperature refractive index of LiY 1−x Ho x F 4 .

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Section: Crystal-field Transitions With Hyperfine Interactionsmentioning

confidence: 99%

Precise determination of the low-energy electronuclear Hamiltonian of LiY1−xHoxF4

Beckert

Grimm²,

Hermans³

et al. 2022

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

show abstract

“…Our high-resolution setups enable us to resolve the HF structure of the measured CF states to high precision; analysis methods which take advantage of this structure are described in Ref. [21]. We turn now to the theoretical understanding of the HF corrections to the measured CF states.…”

Section: Crystal Field Transitions With Hyperfine Interactionsmentioning

confidence: 99%

Precise determination of low energy electronuclear Hamiltonian for LiY$_{1-x}$Ho$_{x}$F$_{4}$

Beckert

Hermans²,

Grimm³

et al. 2020

Preprint

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We use complementary optical spectroscopy methods to directly measure the lowest crystal-field energies of the rare-earth quantum magnet LiY1−xHoxF4, including their hyperfine splittings, with more than 10 times higher resolution than previous work. We are able to observe energy level splittings due to the 6 Li and 7 Li isotopes, as well as non-equidistantly spaced hyperfine transitions originating from dipolar and quadrupolar hyperfine interactions. We provide refined crystal field parameters and extract the dipolar and quadrupolar hyperfine constants AJ = 0.02703 ± 0.00003 cm −1 and B = 0.04 ± 0.01 cm −1 , respectively. Thereupon we determine all crystal-field energy levels and magnetic moments of the 5 I 8 ground state manifold, including the (non-linear) hyperfine corrections. The latter match the measurement-based estimates. The scale of the non-linear hyperfine corrections sets an upper bound for the inhomogeneous line widths that would still allow for unique addressing of a selected hyperfine transition e.g. for quantum information applications. Additionally, we establish the far-infrared, low-temperature refractive index of LiY1−xHoxF4.

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Geometric Feature Mining for the Residual Oxygen Measurement of Pharmaceutical Glass Vials on a Filling Production Line

Liu

Luo

et al. 2023

IEEE Trans. Ind. Electron.

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Taking advantage of multiplet structure for lineshape analysis in Fourier space

Cited by 3 publications

References 30 publications

Precise determination of the low-energy electronuclear Hamiltonian of LiY1−xHoxF4

Precise determination of the low-energy electronuclear Hamiltonian of LiY1−xHoxF4

Precise determination of low energy electronuclear Hamiltonian for LiY$_{1-x}$Ho$_{x}$F$_{4}$

Geometric Feature Mining for the Residual Oxygen Measurement of Pharmaceutical Glass Vials on a Filling Production Line

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