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American Journal of Physics

Optical Pumping: An Introduction

Robert A. Bernheim, Ernst K. Franke

Published Feb 1, 1967• 43 citations
Publisher
DOI
10.1119/1.1973948

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The general nonstationary theory of propagation of an elliptically polarized pulse resonantly interacting with the 1/2–1/2 transition is presented. The theory that takes into account relaxation processes is developed in terms of irreducible tensor operator representation allowing diagonalization of the relaxation matrix and introduction of effective decay times governing relaxation of both population and coherence between magnetic sublevels of the resonant system. It is shown that interference of magnetic sublevels in the field of polarized radiation that optically pumps the atoms can result in inversionless amplification of radiation.

Optics and Spectroscopy•May 1, 2009•1 citation
An increase in the readout fidelity of an optical qubit in a 171Yb+ ion by adding a microwave pumping stage before the measurement has been experimentally demonstrated. The introduction of a microwave π\pi π -pulse between the hyperfine components of the ion ground state before the readout makes it possible to avoid the optical pumping stage at the beginning of the measurement, which leads to a systematic error in the state determination. The conclusions of the theoretical model of the readout process have been experimentally confirmed and an increase in the readout accuracy from (98.98 ± 0.10)% to (99.48 ± 0.07)% has been demonstrated.
Introduction 177 I. The Optical Orientation of Atoms 178 II. The Optical Detection of the Orientation of Atoms 181 III. The Effect of Relaxation Phenomena on the Process of Optical Pumping 183 IV. Phenomenological Theory of Optical Orientation of Atoms 188 V. Detection of Radio-Frequency Resonance by the Optical Method. Determination of the Hyperfine Structure Constant and of Nuclear and Electronic g Factors 190 VI. Practical Applications of the Method of Optical Orientation of Atoms 194 VII. Orientation Produced by Exchange Collisions 198 VIII. The Study of Relaxation Processes by the Optical Method 200 IX. Optical Pumping in Solids 201 Conclusion 203 Literature 203
The general nonstationary theory of propagation of an elliptically polarized pulse resonantly interacting with the 1/2–1/2 transition is presented. The theory that takes into account relaxation processes is developed in terms of irreducible tensor operator representation allowing diagonalization of the relaxation matrix and introduction of effective decay times governing relaxation of both population and coherence between magnetic sublevels of the resonant system. It is shown that interference of magnetic sublevels in the field of polarized radiation that optically pumps the atoms can result in inversionless amplification of radiation.