Field-fluctuation-independent Coherence Decay in the Transition- 1/2(^4A_2) ～ - 1/2(E^^-) of the ruby R_1 line

孝夫村本

Published Jan 1, 1998• 0 citations

Abstract

By a modified two manifold model, we explain the following experimental results performed for the test of the optical Bloch equation on the transition -1/2(4A2)～-1/2(E) of the ruby R1 line. 1)The optical hole width, including that derived from the FID increases linearly with x(Rabi frequency) under the strong excitation condition. 2)The decay of two pulse and rotary photon echo is a single exponential and the decay constant is power independent as is predicted from the ordinal optical Bloch equation. In this theory, a fluctuating local field is not assumed.

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Field-fluctuation-independent Coherence Decay in the Transition- 1/2(^4A_2) ～ - 1/2(E^^-) of the ruby R_1 line

孝夫村本

Published Jan 1, 1998• 0 citations

OpenAlex

Abstract

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A. Szabó, Rein K. Kaarli

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Physical review. B, Condensed matterDec 1, 199148 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.

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.

Frequency-domain optical hole burning of the

{\mathit{R}}_{1}

line

{[}^{4}

{\mathit{A}}_{2}

(-1/2)\ensuremath{\leftrightarrows}E\ifmmode\bar\else\textasciimacron\fi{}(-1/2) transition] in dilute ruby is studied at 2 K and with a field of 3.6 kG applied along the c axis. A pump-probe (PP) technique is used with precise probe-frequency shifting obtained by an acousto-optic modulator. For sufficiently short PP pulses (50 \ensuremath{\mu}s), two holes (narrow and wide) are observed. The narrow (\ensuremath{\sim}20 kHz half width at half maximum at low power) hole-width dependence on Rabi frequency approximately agrees with that inferred from free-induction-decay measurements. For the present concentration (0.0034 wt. %

{\mathrm{Cr}}_{2}

{\mathrm{O}}_{3}

) and field, the narrow hole width is determined by fluctuating fields produced by Cr-Cr spin flips [A. Szabo, T. Muramoto, and R. Kaarli, Phys. Rev. B 42, 7769 (1990)]. When the PP delay time is varied, the amplitude of the narrow hole decays with a 1/e time constant of \ensuremath{\sim}300 \ensuremath{\mu}s compared to the E\ifmmode\bar\else\textasciimacron\fi{} fluorescence lifetime of 4 ms. The wide hole (\ensuremath{\sim}500 kHz half width at half maximum) is due to Al-Cr superhyperfine interactions and is created by a spectral diffusion mechanism driven by Al-spin flipping in the host lattice.