Bloch Equations Versus Balance Equation: From F. Bloch to A. Einstein

Authors

DOI:

https://doi.org/10.26713/jamcnp.v10i1.1886

Keywords:

Bloch equations, Balance equation, Population inversion, Optical Bloch vector, Two-level system

Abstract

We investigate the correspondence between balance equation for population inversion of Two-Level System (TLS) and equations for optical Bloch vector which describe the interaction of electromagnetic field and TLS. Based on an analytical treatment, the condition for such a correspondence is established and an expression is obtained for the rate of the radiative transition. Particularly, the problem of applicability of the perturbation theory when writing the balance equation, which also describes a strong change in the population inversion, is resolved.

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References

A. Einstein, Strahlungs-Emission und - Absorption nach der Quantentheorie, Verhandlungender Deutschen Physikalischen Gesellschaft 18(1916),318 – 323, https://einstein.manhattanrarebooks.com/pages/books/100/albert-einstein/strahlungs-emission-und-absorption-nach-der-quantentheorie-emission-and-absorption-of.

F. Bloch, Nuclear induction,Physical Review 70(7) (1946), 460 – 474, URL: https://web.stanford.edu/class/rad226a/Readings/Lecture2-Bloch_1946.pdf.

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Published

2022-03-30
CITATION

How to Cite

Astapenko, V., & Mutafyan, M. (2022). Bloch Equations Versus Balance Equation: From F. Bloch to A. Einstein. Journal of Atomic, Molecular, Condensed Matter and Nano Physics, 10(1), 1–8. https://doi.org/10.26713/jamcnp.v10i1.1886

Issue

Vol. 10 No. 1 (2023)

Section

Pedagogical Research Article

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