Two-photon processes based on quantum commutators

F. Fratini, L. Safari, P. Amaro, J. Santos, Physical Review A - Atomic, Molecular, and Optical Physics 97 (2018).


Journal Article | Published | English
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Abstract
We developed a method to calculate two-photon processes in quantum mechanics that replaces the infinite summation over the intermediate states by a perturbation expansion. This latter consists of a series of commutators that involve position, momentum, and Hamiltonian quantum operators. We analyzed several single- and many-particle cases for which a closed-form solution to the perturbation expansion exists, as well as more complicated cases for which a solution is found by convergence. Throughout the article, Rayleigh and Raman scattering are taken as examples of two-photon processes. The present method provides a clear distinction between the Thomson scattering, regarded as classical scattering, and quantum contributions. Such a distinction lets us derive general results concerning light scattering. Finally, possible extensions to the developed formalism are discussed.
Publishing Year
Date Published
2018-04-18
Journal Title
Physical Review A - Atomic, Molecular, and Optical Physics
Volume
97
Issue
4
IST-REx-ID

Cite this

Fratini F, Safari L, Amaro P, Santos J. Two-photon processes based on quantum commutators. Physical Review A - Atomic, Molecular, and Optical Physics. 2018;97(4). doi:10.1103/PhysRevA.97.043842
Fratini, F., Safari, L., Amaro, P., & Santos, J. (2018). Two-photon processes based on quantum commutators. Physical Review A - Atomic, Molecular, and Optical Physics, 97(4). https://doi.org/10.1103/PhysRevA.97.043842
Fratini, Filippo, Laleh Safari, Pedro Amaro, and José Santos. “Two-Photon Processes Based on Quantum Commutators.” Physical Review A - Atomic, Molecular, and Optical Physics 97, no. 4 (2018). https://doi.org/10.1103/PhysRevA.97.043842.
F. Fratini, L. Safari, P. Amaro, and J. Santos, “Two-photon processes based on quantum commutators,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 97, no. 4, 2018.
Fratini F, Safari L, Amaro P, Santos J. 2018. Two-photon processes based on quantum commutators. Physical Review A - Atomic, Molecular, and Optical Physics. 97(4).
Fratini, Filippo, et al. “Two-Photon Processes Based on Quantum Commutators.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 97, no. 4, American Physical Society, 2018, doi:10.1103/PhysRevA.97.043842.

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