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A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Machine Learning Phonon Spectra for Fast and Accurate Optical Lineshapes of Defects.

Mark E Turiansky1, John L Lyons1, Noam Bernstein1

  • 1US Naval Research Laboratory, 4555 Overlook Avenue SW, Washington, District of Columbia 20375, United States.

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Summary

Machine learning potentials significantly accelerate electron-phonon coupling calculations for solid-state defects. This breakthrough overcomes computational bottlenecks, enabling high-level theoretical studies of optical properties and quantum defects.

Keywords:
density functional theoryelectron−phonon couplingmachine learning interatomic potentialsoptical lineshapesquantum defects

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Area of Science:

  • Solid-state physics
  • Quantum optics
  • Computational materials science

Background:

  • Optical properties of defects in solids are crucial for applications like gemstone coloration and quantum networks.
  • Electron-phonon coupling is essential for describing optical transitions but computationally demanding to calculate from first-principles.

Purpose of the Study:

  • To overcome the computational expense of predicting electron-phonon coupling for solid-state defects.
  • To demonstrate the efficacy of machine learning interatomic potentials for accurate defect property calculations.

Main Methods:

  • Utilized machine learning interatomic potentials (MLIPs) to predict electron-phonon coupling.
  • Fine-tuned MLIPs using atomic relaxation data from first-principles calculations.
  • Employed hybrid functional calculations for high-accuracy spectral predictions.

Main Results:

  • Achieved negligible accuracy loss compared to traditional methods.
  • Demonstrated that routine first-principles data is sufficient for fine-tuning MLIPs.
  • Resolved fine details of local vibrational mode coupling in the T center in Si luminescence spectrum.

Conclusions:

  • Machine learning interatomic potentials offer an efficient and accurate alternative for studying defect optical properties.
  • This approach enables high-level theoretical investigations of defect vibrational properties.
  • The method accurately predicts spectra and resolves complex coupling phenomena in quantum defects.