Coherent population trapping in a resonance eliptically polarized field: symmetry of dark states

A. V. Taichenachev; A. M. Tumaikin; V. I. Yudin

doi:10.1117/12.340120

25 February 1999 Coherent population trapping in a resonance eliptically polarized field: symmetry of dark states

A. V. Taichenachev, A. M. Tumaikin, V. I. Yudin

Proceedings Volume 3736, ICONO '98: Quantum Optics, Interference Phenomena in Atomic Systems, and High-Precision Measurements; (1999) https://doi.org/10.1117/12.340120
Event: ICONO '98: Laser Spectroscopy and Optical Diagnostics: Novel Trends and Applications in Laser Chemistry, Biophysics, and Biomedicine, 1998, Moscow, Russian Federation

Abstract

The coherent population trapping (CPT) under resonance interaction of elliptically polarized light, with atoms having degenerated energy levels, is analytically treated in an invariant way, without using a specific coordinate frame. Tensors describing dark states are found in an explicit and invariant form for all atomic transitions, where CPT takes place. The correspondence between elliptical polarization vectors and pairs of unit spinors is established. It is shown that all dark states in the problem under consideration, can be constructed from these spinors, by taking multiple tensor products. In the case of an integer angular momentum, this general construction is reduced to a multiple tensor product of vectors. A general significance and some applications of these results are indicted.

Citation Download Citation

A. V. Taichenachev, A. M. Tumaikin, and V. I. Yudin "Coherent population trapping in a resonance eliptically polarized field: symmetry of dark states", Proc. SPIE 3736, ICONO '98: Quantum Optics, Interference Phenomena in Atomic Systems, and High-Precision Measurements, (25 February 1999); https://doi.org/10.1117/12.340120

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