Fully quantum perturbative description of correlated Stokes--anti-Stokes scattering
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918149578817536 |
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| author | Corrêa, Raul Santos, Marcelo F. Monken, Carlos H. Jorio, Ado |
| author_facet | Corrêa, Raul Santos, Marcelo F. Monken, Carlos H. Jorio, Ado |
| contents | The process in which Raman scattering produces correlated Stokes and anti-Stokes radiation is known as Stokes--anti-Stokes (SaS) scattering. It has been shown recently that this process can generate entangled photon pairs, making it a promising tool for quantum optical technologies, but a proper quantum theoretical description was lacking. In this paper, a fully quantum derivation of the electric polarization in a medium with vibrational Raman response, with quantized electromagnetic fields, is developed. Using quantum perturbation theory for Heisenberg operators, we find the solution for the material electric polarization and show that a four-wave mixing-like correlated SaS scattering appears in the first order of perturbation and completely characterizes the non-resonant SaS photon pair production. We also discuss how to construct the third-order non-linear optical susceptibility for the SaS scattering from the quantum formalism, and show that it coincides with the one derived for classical fields in stimulated Raman. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18751 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fully quantum perturbative description of correlated Stokes--anti-Stokes scattering Corrêa, Raul Santos, Marcelo F. Monken, Carlos H. Jorio, Ado Quantum Physics Materials Science Optics The process in which Raman scattering produces correlated Stokes and anti-Stokes radiation is known as Stokes--anti-Stokes (SaS) scattering. It has been shown recently that this process can generate entangled photon pairs, making it a promising tool for quantum optical technologies, but a proper quantum theoretical description was lacking. In this paper, a fully quantum derivation of the electric polarization in a medium with vibrational Raman response, with quantized electromagnetic fields, is developed. Using quantum perturbation theory for Heisenberg operators, we find the solution for the material electric polarization and show that a four-wave mixing-like correlated SaS scattering appears in the first order of perturbation and completely characterizes the non-resonant SaS photon pair production. We also discuss how to construct the third-order non-linear optical susceptibility for the SaS scattering from the quantum formalism, and show that it coincides with the one derived for classical fields in stimulated Raman. |
| title | Fully quantum perturbative description of correlated Stokes--anti-Stokes scattering |
| topic | Quantum Physics Materials Science Optics |
| url | https://arxiv.org/abs/2507.18751 |