Measurements of optical rotary-echo decay of the ${R}_{1}$ (-1/2),\ensuremath{\sigma} transition of ${\mathrm{Cr}}^{3+}$ in dilute ruby at 2 K are described and compared with predictions of two recent modifications (Gauss-Markov and random-telegraph models) of the optical Bloch equations (OBE's). While the modified OBE approximately describes the free-induction decay behavior both in ${\mathrm{Pr}}^{3+}$ : ${\mathrm{LaF}}_{3}$ and ruby, we show that rotary-echo decay in ruby is instead described by the standard OBE. Various aspects of the spin flip-flop model used in the theories are discussed in regard to ruby, as well as other possible dephasing contributions.Measurements of optical rotary-echo decay of the ${R}_{1}$(-1/2),\ensuremath{\sigma} transition of ${\mathrm{Cr}}^{3+}$ in dilute ruby at 2 K are described and compared with predictions of two recent modifications (Gauss-Markov and random-telegraph models) of the optical Bloch equations (OBE's). While the modified OBE approximately describes the free-induction decay behavior both in ${\mathrm{Pr}}^{3+}$:${\mathrm{LaF}}_{3}$ and ruby, we show that rotary-echo decay in ruby is instead described by the standard OBE. Various aspects of the spin flip-flop model used in the theories are discussed in regard to ruby, as well as other possible dephasing contributions.

Physical Review ADec 1, 198819 citations

Generalization of the Optical Bloch Equation and its Consequences

Motoomi Yamanoi

Jan 1, 19860 citations

Analytic solutions of the optical Bloch equations

Heung‐Ryoul Noh, Wonho Jhe

Optics CommunicationsFeb 12, 201029 citations

Time-domain violation of the optical Bloch equations for solids

R. N. Shakhmuratov, A. Szabó

Recent studies of the failure of the optical Bloch equations (OBE) in describing optical saturation in a solid are extended to test another aspect of the OBE, namely the time dependence of free-induction decay (FID) predicted by the SWB theorem on optical transients [Schenzle, Wong, and Brewer, Phys. Rev. A 22, 635 (1980)]. This theorem states that, following an arbitrarily shaped excitation pulse of length T, the FID will vanish at time T following the end of the excitation pulse. Experiments with ruby violate SWB in that FID decay at least twice as long as the excitation pulse is observed. Numerical and analytical calculations using a Gauss-Markov model for the modified OBE show an extended FID decay, however, the theoretical decay shape does not agree with experiment. Thus as with earlier studies on saturation broadening, we find that the modified OBE provides only a qualitative description of radiation-atom interaction in a solid.Recent studies of the failure of the optical Bloch equations (OBE) in describing optical saturation in a solid are extended to test another aspect of the OBE, namely the time dependence of free-induction decay (FID) predicted by the SWB theorem on optical transients [Schenzle, Wong, and Brewer, Phys. Rev. A 22, 635 (1980)]. This theorem states that, following an arbitrarily shaped excitation pulse of length T, the FID will vanish at time T following the end of the excitation pulse. Experiments with ruby violate SWB in that FID decay at least twice as long as the excitation pulse is observed. Numerical and analytical calculations using a Gauss-Markov model for the modified OBE show an extended FID decay, however, the theoretical decay shape does not agree with experiment. Thus as with earlier studies on saturation broadening, we find that the modified OBE provides only a qualitative description of radiation-atom interaction in a solid.

Physical review. B, Condensed matterSep 1, 19937 citations

On the analytical solution of the optical Bloch equations

Pedro J. Colmenares, José Luis Paz

Optics CommunicationsJul 25, 20116 citations

Measurements of optical rotary-echo decay of the

{R}_{1}

(-1/2),\ensuremath{\sigma} transition of

{\mathrm{Cr}}^{3+}

in dilute ruby at 2 K are described and compared with predictions of two recent modifications (Gauss-Markov and random-telegraph models) of the optical Bloch equations (OBE's). While the modified OBE approximately describes the free-induction decay behavior both in

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

{\mathrm{LaF}}_{3}

and ruby, we show that rotary-echo decay in ruby is instead described by the standard OBE. Various aspects of the spin flip-flop model used in the theories are discussed in regard to ruby, as well as other possible dephasing contributions.