Rate-equation and Bloch-equation Theories of Radiation Pressure on Two-level Atoms

Optica acta 12/1012; September 1985:995-1013. DOI: 10.1080/713821831

ABSTRACT Theories of radiation pressure based on rate equations and on the optical Bloch equations are developed within a common framework that allows comparison of the two. The latter method is used to determine the time dependence of the mean momentum of a two-level atom subjected to monochromatic coherent light for general values of various broadening parameters and detuning. The expression for the corresponding radiation pressure force in the limit of steady-state atomic level populations includes previous results as special cases. The rate equation method provides a fully quantum-mechanical calculation of an expression obtained by Einstein for the rate of change of mean-square atomic momentum in thermal equilibrium.

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    ABSTRACT: The book consists of nine chapters. In the first one, Planck’s law is formulated, Einstein’s coefficients are defined, and the principle of action of a laser is described. The second chapter is devoted to the quantum-mechanical description of atom radiation interaction. The Einstein coefficients are calculated, the optical Bloch equations are obtained, and the connection between them and the rate equations are investigated. In the third one, the author describes the statistical analysis of chaotic light sources, different types of interferometers, and the interference patterns that they give in chaotic light. The field quantization is the subject of the fourth chapter. The quantization of electromagnetic field, the interaction of the quantized field with atoms, and the second quantization of the atomic Hamiltonian are analyzed there. The fifth chapter is devoted to single-mode quantum optics, while the sixth one describes multimode and continuous-mode quantum optics. The seventh chapter deals with attenuation and amplification of a light beam, actions frequently needed in experiments. The eighth one is devoted to resonance fluorescence and light scattering. Elastic Rayleigh scattering and inelastic Raman scattering are described in this chapter. An introduction to nonlinear quantum optics is given in the ninth chapter. The book is written as a graduate-level textbook, and over 100 problems help to reinforce the understanding of the material presented.
    01/2000; Oxford Science Publications.
  • ninth Dover printing, tenth GPO printing 10/1988; Dover.