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Письма в Журнал экспериментальной и теоретической физики

Manifestation of Memory and Butterfly in the Photon Echo on Erbium Ions in LuLiF4 and YLiF4

Шегеда Анатолий Михайлович, Кораблева Стелла Леонидовна, O. A. Morozov, V. N. Lisin, N. K. Solovarov, Valery F. Tarasov

Published Feb 15, 2023• 1 citation
Publisher

Abstract

The memory effect in the form of hysteresis has been detected in the measured dependence of the intensity of the photon echo in YLiF4 and LuLiF4 samples with Er3+ impurity ions on the orientation, strength, and variation direction of the magnetic field. The prehistory of the location of a sample in the magnetic field with a certain direction and strength is written and stored for no less than 6 h at a temperature of 2 K. The effect crucially depends on the orientation of the optical axis of the sample with respect to the external magnetic field.

DOI
10.31857/s1234567823040043

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Manifestation of Memory and Butterfly in the Photon Echo on Erbium Ions in LuLiF4 and YLiF4

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A spectroscopy method has been proposed involving a change in the time shape of the echo signal in the presence of a perturbation, which splits the frequencies of the transitions of two or more ion subgroups of the echo-active ions. This method has been applied to optical systems in which the Zeeman effect is manifested. The ion transition frequencies of ions are switched by a weak pulsed magnetic field acting during the time of the radiation of the photon echo pulse. The modulation of the photon echo signal shape was observed in LuLiF4:Er3+ and YLiF4:Er3+. The time interval between the two nearest minima corresponds to the accumulated phase of the electric dipole moment π and makes it possible to determine the difference of the g factors of the ground and excited 4 F 9/2(I) states of the Er3+ ion in the LuLiF4 the YLiF4 matrices for the known amplitude of the pulsed magnetic field. It has been shown that the echo response of the system can be programmed by the weak magnetic field pulses.

Journal of Experimental and Theoretical Physics Letters•Nov 1, 2012•10 citations
The memory effect in the form of hysteresis has been detected in the measured dependence of the intensity of the photon echo in YLiF4 and LuLiF4 samples with Er3+ impurity ions on the orientation, strength, and variation direction of the magnetic field. The prehistory of the location of a sample in the magnetic field with a certain direction and strength is written and stored for no less than 6 h at a temperature of 2 K. The effect crucially depends on the orientation of the optical axis of the sample with respect to the external magnetic field.
The memory effect in the form of hysteresis has been detected in the measured dependence of the intensity of the photon echo in YLiF4 and LuLiF4 samples with Er3+ impurity ions on the orientation, strength, and variation direction of the magnetic field. The prehistory of the location of a sample in the magnetic field with a certain direction and strength is written and stored for no less than 6 h at a temperature of 2 K. The effect crucially depends on the orientation of the optical axis of the sample with respect to the external magnetic field.
The effect of nanosecond magnetic pulses on a photon echo signal in the Er3+-doped YLiF4 and LuLiF4 samples has been considered. A strong dependence of the photon echo intensity on the parameters of the magnetic pulse and the direction of variation of the external magnetic field H has been found. The application of magnetic pulses can increase the echo intensity by a factor of 5–6. The irreversibility (nonreciprocity) effect is explained by the occurrence of the spatial dispersion of the permittivity.
We report the first observation and study of the photon echo in Er3+:LuLiF4. The energy transition is 4 I 15/2 → 4 F 9/2 (λ = 6536 Å). The density of ErF3 is 0.025 wt %. The operation temperature is 1.9 K. Measurements were made at low (up to 1200 Oe) and even zero external magnetic fields. We studied the behavior of the photon echo intensity vs. the magnetic field magnitude and direction about the crystal axis C and vs. the laser pulse separation t 12 and observed an exponential growth and then, after a certain plateau, an exponential decrease in the photon echo intensity as a function of magnetic field upon increasing the magnetic field from zero. The parameters describing the exponential growth and decrease are independent of the direction of magnetic field. The value of the magnetic field (∼20–200 Oe) at which the echo intensity is maximal and the value of the maximum itself decrease with increasing pulse separation t 12 and the angle Θ between the magnetic field and crystal axis. The echo intensity decreases exponentially with increasing Θ. The parameter describing the exponential decrease is independent of the magnitude of the field. The echo intensity as a function of pulse separation shows exponential decay. The phase relaxation time depends on the magnitude and direction of the magnetic field. T 2 is equal to 202 ± 16 ns at zero magnetic field. A phenomenological formula is suggested, which qualitatively presents the mentioned dependences, and the polarization properties of the backward photon echo in this crystal are studied. Because the ion of trivalent erbium is an optimum data carrier, the above results show that fine control of the multichannel transfer of processed optical information may be achieved by weak magnetic fields.
A spectroscopy method has been proposed involving a change in the time shape of the echo signal in the presence of a perturbation, which splits the frequencies of the transitions of two or more ion subgroups of the echo-active ions. This method has been applied to optical systems in which the Zeeman effect is manifested. The ion transition frequencies of ions are switched by a weak pulsed magnetic field acting during the time of the radiation of the photon echo pulse. The modulation of the photon echo signal shape was observed in LuLiF4:Er3+ and YLiF4:Er3+. The time interval between the two nearest minima corresponds to the accumulated phase of the electric dipole moment π and makes it possible to determine the difference of the g factors of the ground and excited 4 F 9/2(I) states of the Er3+ ion in the LuLiF4 the YLiF4 matrices for the known amplitude of the pulsed magnetic field. It has been shown that the echo response of the system can be programmed by the weak magnetic field pulses.