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Bulletin of the Russian Academy of Sciences Physics

Determining the Pseudo-Stark Coefficient in Y2SiO5:Er3+ from the Photon Echo Oscillations and Beats upon a 4F9/2–4I15/2 Transition

V. N. Lisin, Шегеда Анатолий Михайлович, В. В. Самарцев

Published Dec 1, 2018• 0 citations
Publisher

Abstract

Abstract The pseudo-Stark shift in the optical frequency of the 4F9/2–4I15/2 transition of an Er3+ ion in a Y2SiO5 matrix under the action of a weak pulsed electric field is measured from changes in the amplitude and temporal shape of the photon echo.
DOI
10.3103/s1062873818120110

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Abstract The coefficient of a linear Stark shift of the 4 F 9/2 – 4 I 15/2 transition of Er 3+ ion in Y 2 SiO 5 is measured (14.3 kHz V −1 cm) by splitting the upper and lower levels of the transition by a pulsed electric field and measuring the splitting frequency from the period of beatings of the temporal form of a photon echo signal (stark photon echo beating method). The linear Stark coefficients of Er 3+ transitions in Y 2 SiO 5 have not been measured before, and this is a valuable result for a number of applications such as gradient echo memory, group velocity control via spectral hole burning, etc.
A relative phase shift between the different groups of excited dipoles, which appears as result of its frequency splitting due to action of a pulse of electric or magnetic fields, depends on a time, if the pulse overlaps in time with echo-pulse. As а consequence, the echo waveform is changed. The echo time form is modulated. The inverse modulation period well enough approximates Zeeman and pseudo-Stark splitting in the cases of magnetic and, therefore, electrical fields. Thus the g-factors of ground 4I15/2 and excited 4F9/2 optical states of Er3+ ion in LuLiF4 and YLiF4 have been measured and pseudo-Stark shift of R1 line in ruby has been determined.
We describe and demonstrate a method for performing ultrahigh-resolution optical spectroscopy in the time domain which utilizes modulations in the intensity of the two-pulse photon echo in the presence of a perturbation that splits the optical transition frequencies of two or more subgroups of ions. The method is applied to a measurement of the pseudo-Stark effect in alexandrite and YAlO3{\mathrm{YAlO}}_{3}YAlO3​:Er3+{\mathrm{Er}}^{3+}Er3+. Stark shifts of \ensuremath{\simeq}100 kHz are observed, but the technique is capable of resolutions 10 kHz in some systems.
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.
Abstract A novel scheme for determining the pseudo-Stark splitting of optical lines has been suggested and tested in experiment. The scheme allows one to observe the beating of a photon echo waveform under conditions of overlap in time between a weak electric pulse and its echo-pulse. The pseudo-Stark splitting is equal to the inverse average modulation period of the echo waveform. The photon echo beating of the R1-line in Ruby has been observed. The dependence of the inverse average modulation period of the echo waveform on the average value of the electric field over the optically excited volume has been found. The obtained values of the pseudo-Stark parameter are in good agreement with known literature data.