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PreprintCC BY-NC-ND 4.0arXiv

Theoretical estimation of nonlinear response function and ultrafast optical spectroscopy of nitrogen vacancy centers

Abstract

The theoretical description of the ultrafast optical response of nitrogen-vacancy centers has traditionally been developed using the nonlinear response function formalism based on a displaced harmonic oscillator model. However, restrictive defect geometries that lead to rich phonon mode distributions can limit the validity of this model. Here, we extend this framework by incorporating state-dependent oscillator modes characterized by different frequencies. We demonstrate that, as a consequence, the nonlinear response function is modified by a straightforward correction term that can be evaluated using operator algebraic techniques. These modifications directly impact two-dimensional correlation spectroscopy, which serves as a vital characterization tool for color centers by resolving ultrafast correlated electron-vibrational dynamics.

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BibTeX
@misc{debnath2026theoretical,
  title = {{Theoretical estimation of nonlinear response function and ultrafast optical spectroscopy of nitrogen vacancy centers}},
  author = {Arunangshu Debnath},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01326},
  eprint = {2611.01326},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01326},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Theoretical estimation of nonlinear response function and ultrafast optical spectroscopy of nitrogen vacancy centers
AU  - Arunangshu Debnath
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01326
UR  - https://arxiv.org/abs/2611.01326
AB  - The theoretical description of the ultrafast optical response of nitrogen-vacancy centers has traditionally been developed using the nonlinear response function formalism based on a displaced harmonic oscillator model. However, restrictive defect geometries that lead to rich phonon mode distributions can limit the validity of this model. Here, we extend this framework by incorporating state-dependent oscillator modes characterized by different frequencies. We demonstrate that, as a consequence, the nonlinear response function is modified by a straightforward correction term that can be evaluated using operator algebraic techniques. These modifications directly impact two-dimensional correlation spectroscopy, which serves as a vital characterization tool for color centers by resolving ultrafast correlated electron-vibrational dynamics.
ER  -