The application of the weak magnetic field pulse to measure g-factors of ground and excited optical states by a photon echo method

Abstract

A new scheme of the definition of g-factors as ground and excited optical states of a paramagnetic ion in zero external constant magnetic field has been proposed and experimentally realized in optical systems in which the Zeeman effect is manifested. A pulse of a weak magnetic field leads to the occurrence of relative phase shifts of the excited dipoles and, as a consequence, to modulation of a photon echo wave form if the magnetic pulse overlaps in time with the echo pulse. The modulation periods of the wave form depend on polarization of the laser light which excites the photon echo. The values of these periods for σ -and π-laser light polarization have been measured and then the g-factors of the ground 4 I 15/2 and excited 4 F 9/2 states of the Er 3+ ion in the LuLiF 4 and the YLiF 4 matrices have been determined. The g-factor values have been compared with the known literary data.

Incoherent photon echo in 7Li Y F$_4:^{167}$ Er3+

“…The results of our present and previous [3,4] works show that incoherent photon echo can be considered as a promising and convenient tool for the accurate determination of the Hamiltonian parameters in excited states of impurity ions and spectroscopic parameters of the crystal.…”

Stark shift in Y2SiO5:Er3+ by the photon echo beating method

“…Here, P 0 (t) and t 0 are the dipole moment in the absence of EP and the switching-on time of EP, respectively. Since the dipole moments from the other pair are directed at the same angle θ, the expression for the resulting dipole moment from all the ions Y1 has the same form (2). In the absence of a dc external electric field E 0 , it can be shown similarly to [9] that, independently of the coherence of the exciting laser, the expression for the intensity of the echo I can be written in the following form:…”

“…If a pulse of the perturbation overlaps in time with the echo-pulse, then the echo waveform changes and photon echo beats arise. The PEB have been observed initially in systems in which Zeeman splitting is realized [1][2][3]. In systems in which the pseudo-Stark effect is manifest, the line splitting in electric field is due to the different Stark shifts at different lattice sites, for example A and B sites.…”

Optimized design of a permanent Zeeman slower for an ytterbium optical lattice clock

“…In the Zeeman slower, atoms are decelerated by absorbing photons from the counter-propagating resonant laser beam and emitting the photons randomly [5][6][7][8]. While the frequency of the cooling laser seen by the atoms is shifted due to the Doppler effect, a special gradient magnetic field is employed to shift the atomic energy levels so that the atomic transition frequency is always on resonance with the cooling laser frequency at any time.…”