Solid State Communications

Anomalous free induction decay linewidth analysis in solids using Maxwell-Bloch equation technique

Pratima Sen, Praveen Aghamkar, Pranay K. Sen

Published Feb 1, 1996• 2 citations

Publisher

DOI: 10.1016/0038-1098(95)00616-8

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Solid State Communications

Anomalous free induction decay linewidth analysis in solids using Maxwell-Bloch equation technique

Pratima Sen, Praveen Aghamkar, Pranay K. Sen

Published Feb 1, 1996• 2 citations

Publisher

DOI: 10.1016/0038-1098(95)00616-8

Related papers

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A. Szabó, T. Muramoto, Rein K. Kaarli

Springer eBooksJan 1, 19902 citations

On “anomalous” free induction decay rate

Pavel A Apanasevich, S. Ya. Kilin, Alexander P. Nizovtsev +1 more

Optics CommunicationsDec 1, 198435 citations

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K.Y. Yang, Tianwei Wu

Physics Letters AMar 1, 19721 citation

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Experimental Test of the Optical Bloch Equations for Solids

Ralph G. DeVoe, Richard G. Brewer

This paper provides the first experimental test of the Bloch equations for an optical transition in a low-temperature impurity-ion solid, ${\mathrm{Pr}}^{3+}$ : La ${\mathrm{F}}_{3}$ , where the condition ${T}_{1}\ensuremath{\gg}{T}_{2}$ applies. Intensity-dependent optical free-induction-decay measurements are performed by use of an ultrastable cw dye laser (linewidth, 300 Hz) and reveal an $\mathrm{exp}(\ensuremath{-}\frac{2t}{{T}_{2}})$ decay law at low Rabi frequency ($\ensuremath{\chi}$), as predicted by the Bloch equations, and an $\mathrm{exp}(\ensuremath{-}\ensuremath{\chi}t)$ decay at high $\ensuremath{\chi}$, which violates the Bloch prediction but agrees with Redfield's characterization of NMR saturation in solids.This paper provides the first experimental test of the Bloch equations for an optical transition in a low-temperature impurity-ion solid, ${\mathrm{Pr}}^{3+}$: La${\mathrm{F}}_{3}$, where the condition ${T}_{1}\ensuremath{\gg}{T}_{2}$ applies. Intensity-dependent optical free-induction-decay measurements are performed by use of an ultrastable cw dye laser (linewidth, 300 Hz) and reveal an $\mathrm{exp}(\ensuremath{-}\frac{2t}{{T}_{2}})$ decay law at low Rabi frequency ($\ensuremath{\chi}$), as predicted by the Bloch equations, and an $\mathrm{exp}(\ensuremath{-}\ensuremath{\chi}t)$ decay at high $\ensuremath{\chi}$, which violates the Bloch prediction but agrees with Redfield's characterization of NMR saturation in solids.

Physical Review LettersApr 25, 1983197 citations

Experimental test of the optical Bloch equations for solids using free-induction decay

Arthur G. Szabo, T. Muramoto

Recent studies by DeVoe and Brewer [Phys. Rev. Lett. 50, 1269 (1983)] have shown that the conventional optical Bloch equations markedly fail to describe the optical saturation behavior of the ${D}_{1}$ line in the solid ${\mathrm{Pr}}^{3+}$ : ${\mathrm{LaF}}_{3}$ . In this paper we extend these studies to another solid, ruby, using free-induction-decay observations obtained by pulse excitation of the ${R}_{1}$ line at 693.4 nm with an ultranarrow-linewidth dye laser. Comparison of the results with Gauss-Markov and random-telegraph-dephasing theories shows approximate agreement for a fluctuation correlation time ${\ensuremath{\tau}}_{c}$= ${T}_{2}$ , the dephasing time. This result is remarkably similar to that obtained for ${\mathrm{Pr}}^{3+}$ : ${\mathrm{LaF}}_{3}$ . However, for theoretical and experimental reasons, we conclude that the theories do not consistently explain the current as well as other data. A qualitative discussion of another dephasing model is given.Recent studies by DeVoe and Brewer [Phys. Rev. Lett. 50, 1269 (1983)] have shown that the conventional optical Bloch equations markedly fail to describe the optical saturation behavior of the ${D}_{1}$ line in the solid ${\mathrm{Pr}}^{3+}$:${\mathrm{LaF}}_{3}$. In this paper we extend these studies to another solid, ruby, using free-induction-decay observations obtained by pulse excitation of the ${R}_{1}$ line at 693.4 nm with an ultranarrow-linewidth dye laser. Comparison of the results with Gauss-Markov and random-telegraph-dephasing theories shows approximate agreement for a fluctuation correlation time ${\ensuremath{\tau}}_{c}$=${T}_{2}$, the dephasing time. This result is remarkably similar to that obtained for ${\mathrm{Pr}}^{3+}$:${\mathrm{LaF}}_{3}$. However, for theoretical and experimental reasons, we conclude that the theories do not consistently explain the current as well as other data. A qualitative discussion of another dephasing model is given.

Physical Review AApr 1, 198942 citations

This paper provides the first experimental test of the Bloch equations for an optical transition in a low-temperature impurity-ion solid,

{\mathrm{Pr}}^{3+}

: La

{\mathrm{F}}_{3}

, where the condition ${T}_{1}\ensuremath{\gg}{T}_{2}$ applies. Intensity-dependent optical free-induction-decay measurements are performed by use of an ultrastable cw dye laser (linewidth, 300 Hz) and reveal an $\mathrm{exp}(\ensuremath{-}\frac{2t}{{T}_{2}})$ decay law at low Rabi frequency ($\ensuremath{\chi}$), as predicted by the Bloch equations, and an $\mathrm{exp}(\ensuremath{-}\ensuremath{\chi}t)$ decay at high $\ensuremath{\chi}$, which violates the Bloch prediction but agrees with Redfield's characterization of NMR saturation in solids.

Recent studies by DeVoe and Brewer [Phys. Rev. Lett. 50, 1269 (1983)] have shown that the conventional optical Bloch equations markedly fail to describe the optical saturation behavior of the

{D}_{1}

line in the solid

{\mathrm{Pr}}^{3+}

{\mathrm{LaF}}_{3}

. In this paper we extend these studies to another solid, ruby, using free-induction-decay observations obtained by pulse excitation of the

{R}_{1}

line at 693.4 nm with an ultranarrow-linewidth dye laser. Comparison of the results with Gauss-Markov and random-telegraph-dephasing theories shows approximate agreement for a fluctuation correlation time ${\ensuremath{\tau}}_{c}$=

{T}_{2}

, the dephasing time. This result is remarkably similar to that obtained for

{\mathrm{Pr}}^{3+}

{\mathrm{LaF}}_{3}

. However, for theoretical and experimental reasons, we conclude that the theories do not consistently explain the current as well as other data. A qualitative discussion of another dephasing model is given.