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Quantum Electronics and Laser Science Conference

Nonlinear precession of the polarization ellipse in resonant atomic media: two-level systems and Rb

Budker, Chiao, Hsiung, Yashchuk

Published Jan 1, 2000• 0 citations
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Nonlinear precession of the polarization ellipse in resonant atomic media: two-level systems and Rb

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Summary form only given. Self-rotation (SR) of the polarization ellipse upon propagation through a nonlinear medium was among the first nonlinear optics phenomena observed. SR in resonant atomic vapors has been the subject of several theoretical and experimental studies. We describe SR in two-level F/spl rarr/F' systems (F, F' are the total angular momenta of the lower and the upper state) and present experiments and theoretical interpretation (based on density matrix calculations) of SR on the Rb D/sub 1,2/ lines.

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A precise, accurate, and relatively straightforward in situ method to measure and control the ellipticity of light resonantly interacting with an atomic vapor is described. The technique can be used to minimize vector light shifts. The method involves measurement of ellipticity-induced resonances in the magnetic-field dependence of nonlinear magneto-optical rotation of frequency-modulated light. The light propagation direction is orthogonal to the applied magnetic field $\mathbf{B}$ and the major axis of the light polarization ellipse is along $\mathbf{B}$. When the light modulation frequency matches the Larmor frequency, elliptically polarized light produces a precessing atomic spin orientation transverse to $\mathbf{B}$ via synchronous optical pumping. The precessing spin orientation causes optical rotation oscillating at the Larmor frequency by modulating the atomic vapor's circular birefringence. Based on this technique's precision, in situ nature (which avoids systematic errors arising from optical interfaces) and independent control of the most important systematic errors, it is shown that the accuracy of light ellipticity measurements achievable with this technique can exceed that of existing methods by orders of magnitude.

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Summary form only given. In the D/sub 1/ transition in the isotope 87 rubidium atom with no magnetic field present, electromagnetically induced transparency (EIT) can occur due to destructive quantum interference in the lambda transition between the two ground hyperfine states, |F=1, m/sub F/=+1), |F=1, m/sub F/=1), and the single electronically excited hyperfine state |F'=1, m/sub F/=0), when an elliptically polarized laser beam propagates through a rubidium vapor cell. The stronger circularly polarized /spl sigma//sup +/ component of this light beam, which connects the ground hyperfine state |F=1, m/sub F/=1) to the excited hyperfine state, can be considered as the "coupling" laser, and the weaker circularly polarized /spl sigma/ component, which connects the ground hyperfine state |F=1, m/sub F/=+1) to the excited hyperfine state, can be considered as the "probe" laser. An adiabatic increment in the probe laser intensity (with the coupling laser intensity held fixed) causes an adiabatic population transfer between the two ground hyperfine states. As pointed out by Imamoglu et al., if a fourth nearby level is added to this three-level lambda scheme, two new resonantly-enhanced effects can be produced, i.e., a Kerr effect and a two-photon absorption effect.

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Summary form only given. Self-rotation (SR) of the polarization ellipse upon propagation through a nonlinear medium was among the first nonlinear optics phenomena observed. SR in resonant atomic vapors has been the subject of several theoretical and experimental studies. We describe SR in two-level F/spl rarr/F' systems (F, F' are the total angular momenta of the lower and the upper state) and present experiments and theoretical interpretation (based on density matrix calculations) of SR on the Rb D/sub 1,2/ lines.
A precise, accurate, and relatively straightforward in situ method to measure and control the ellipticity of light resonantly interacting with an atomic vapor is described. The technique can be used to minimize vector light shifts. The method involves measurement of ellipticity-induced resonances in the magnetic-field dependence of nonlinear magneto-optical rotation of frequency-modulated light. The light propagation direction is orthogonal to the applied magnetic field B\mathbf{B}B and the major axis of the light polarization ellipse is along B\mathbf{B}B. When the light modulation frequency matches the Larmor frequency, elliptically polarized light produces a precessing atomic spin orientation transverse to B\mathbf{B}B via synchronous optical pumping. The precessing spin orientation causes optical rotation oscillating at the Larmor frequency by modulating the atomic vapor's circular birefringence. Based on this technique's precision, in situ nature (which avoids systematic errors arising from optical interfaces) and independent control of the most important systematic errors, it is shown that the accuracy of light ellipticity measurements achievable with this technique can exceed that of existing methods by orders of magnitude.
Summary form only given. In the D/sub 1/ transition in the isotope 87 rubidium atom with no magnetic field present, electromagnetically induced transparency (EIT) can occur due to destructive quantum interference in the lambda transition between the two ground hyperfine states, |F=1, m/sub F/=+1), |F=1, m/sub F/=1), and the single electronically excited hyperfine state |F'=1, m/sub F/=0), when an elliptically polarized laser beam propagates through a rubidium vapor cell. The stronger circularly polarized /spl sigma//sup +/ component of this light beam, which connects the ground hyperfine state |F=1, m/sub F/=1) to the excited hyperfine state, can be considered as the "coupling" laser, and the weaker circularly polarized /spl sigma/ component, which connects the ground hyperfine state |F=1, m/sub F/=+1) to the excited hyperfine state, can be considered as the "probe" laser. An adiabatic increment in the probe laser intensity (with the coupling laser intensity held fixed) causes an adiabatic population transfer between the two ground hyperfine states. As pointed out by Imamoglu et al., if a fourth nearby level is added to this three-level lambda scheme, two new resonantly-enhanced effects can be produced, i.e., a Kerr effect and a two-photon absorption effect.