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 Pis'ma v Zh. Èksper. Teoret. Fiz., 2012, Volume 95, Issue 2, Pages 67–71 (Mi jetpl2420)

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Oscillations of the photon echo intensity in a pulsed magnetic field: Zeeman splitting in LiLuF$_4$:Er$^{3+}$

V. N. Lisin, A. M. Shegeda, K. I. Gerasimov

Zavoisky Physical Technical Institute, Kazan Scientific Center of the Russian Academy of Sciences

Abstract: A method of high-resolution time-resolved optical spectroscopy using oscillations of the photon echo intensity in the presence of a perturbation, which splits the optical frequencies of the transitions of two or more ion subgroups, has been proposed and demonstrated. This method has been applied to systems in which the Zeeman effect is manifested. The transition frequencies of ions are switched by a pulsed magnetic field. Oscillations of the photon echo intensity were observed in LiLuF$_4$:Er$^{3+}$ and LiYF$_4$:Er$^{3+}$. The first minimum corresponding to the accumulated phase of the electric dipole moment $\pi/2$ is reached in the pulsed magnetic field with an amplitude of $\sim2$ G at a duration of $30$ ns. The Zeeman splitting in this field is $\approx10$ MHz, which is much less than the laser spectral width ($0.15$ Å$\approx 9$ GHz). The $g$ factor of the $^4$F$_{9/2}$(I) excited state of the Er$^{3+}$ ion in the LiLuF$_4$ matrix has been determined in zero magnetic field. The comparison with the $g$-factor value found from the measurement of the absorption spectrum in a magnetic field of $8$ kG has been performed.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2012, 95:2, 61–65

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Document Type: Article

Citation: V. N. Lisin, A. M. Shegeda, K. I. Gerasimov, “Oscillations of the photon echo intensity in a pulsed magnetic field: Zeeman splitting in LiLuF$_4$:Er$^{3+}$”, Pis'ma v Zh. Èksper. Teoret. Fiz., 95:2 (2012), 67–71; JETP Letters, 95:2 (2012), 61–65

Citation in format AMSBIB
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\paper Oscillations of the photon echo intensity in a pulsed magnetic field: Zeeman splitting in LiLuF$_4$:Er$^{3+}$
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2012
\vol 95
\issue 2
\pages 67--71
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\elib{http://elibrary.ru/item.asp?id=17706693}
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\jour JETP Letters
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This publication is cited in the following articles:
1. V. N. Lisin, A. M. Shegeda, “Modulation of the shape of the photon echo pulse by a pulsed magnetic field: Zeeman splitting in LuLiF$_4$:Er$^{3+}$ and YLiF$_4$:Er$^{3+}$”, JETP Letters, 96:5 (2012), 298–302
2. Lisin V.N., Shegeda A.M., Samartsev V.V., “the Application of the Weak Magnetic Field Pulse To Measure G-Factors of Ground and Excited Optical States By a Photon Echo Method”, Laser Phys. Lett., 12:2 (2015), 025701
3. Lisin V.N. Shegeda A.M. Samartsev V.V., “Definition of Shifts of Optical Transitions Frequencies due to Pulse Perturbation Action by the Photon Echo Signal Form”, Xii International Workshop on Quantum Optics (Iwqo-2015), Epj Web of Conferences, 103, ed. Samartsev V. Vinogradov E. Naumov A. Karimullin K., E D P Sciences, 2015, 07004
4. V. N. Lisin, A. M. Shegeda, V. V. Samartsev, E. P. Chukalina, “Effect of the excitation radiation coherence on oscillations of the photon echo intensity”, JETP Letters, 107:6 (2018), 345–350
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