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Laser Physics

Radiofrequency stimulated quantum interference on Mössbauer transitions

É. K. Sadykov, Аринин Виталий Валерьевич, Farit G. Vagizov, Olga A. Kocharovskaya

Published May 1, 2007• 1 citation
Publisher

Abstract

Redistribution of the elastic and Raman channel intensities in the Mössbauer resonant scattering spectrum can be controlled by the radio frequency (rf) stimulated quantum interference of gamma-transition amplitudes. More general expressions for each channel intensity are written out exactly taking into account the influence of the rf field. Results of calculations for the simple three-level scheme can be easily generalized to the case of 57 Fe isotope in magnetic materials.

DOI
10.1134/s1054660x07050209

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In recent years there became actual studies of quantum interference on gamma spectroscopic transitions induced by coherent perturbations.A special attention is paid to gamma transitions in compound systems. In this work it is shown that quantum interference effects (QIE) occur in gamma quantum spontaneous emission spectrum of an electron-nuclear paramagnetic system when electron spin resonance is induced. Occurrence of QIE is connected to preparation of the quantum system initial state. The role of electron relaxation is defined: increase of relaxation rate leads to extinguishing of QIE. The cases of stationary excitation of Mossbauer levels by wide and narrow spectra are considered.

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Redistribution of the elastic and Raman channel intensities in the Mössbauer resonant scattering spectrum can be controlled by the radio frequency (rf) stimulated quantum interference of gamma-transition amplitudes. More general expressions for each channel intensity are written out exactly taking into account the influence of the rf field. Results of calculations for the simple three-level scheme can be easily generalized to the case of 57 Fe isotope in magnetic materials.
In this paper we derive a complete semiclassical description of M\"ossbauer spectroscopy with arbitrary external or internal perturbations of the active levels. The \ensuremath{\gamma} rays are taken to be weak enough to allow us to evaluate the linear M\"ossbauer response to lowest order in the intensity, in which case the \ensuremath{\gamma}-ray field can be treated classically. It induces transitions between level manifolds that can have arbitrary interactions inside themselves. The nuclear system is described by a density matrix. In principle, time-dependent perturbations can be handled by the formalism, but the equations are easier to solve for systems that display steady-state behavior. We consider, in particular, the case of magnetic radio-frequency modulation of the M\"ossbauer levels. Utilizing a matrix-continued-fraction technique, we solve for the absorption spectrum, and we choose numerical illustrations with parameters such that they describe the nucleus 57Fe^{57}\mathrm{Fe}57Fe. In this paper we treat mainly the case of magnetic modulation, but other experimental arrangements are discussed too. The calculations are able to treat both saturation and interference effects, which become important when the radio-frequency modulation is very strong. The new feature that emerges is the occurrence of resonances arising from the interference of different physical processes. The calculational method and its results are discussed and compared with other works.
Raman heterodyne detection of nuclear magnetic resonance is a sensitive technique for optical detection of an NMR transition, which is driven by a resonant radio-frequency field. The observed signal is linear in the transition matrix elements of the magnetic resonance transition and two optical transitions. This linearity is the reason that signal contributions from different sites or different rf transitions can interfere, in many cases destructively. In this article, we discuss such an interference effect, which appears to have been overlooked in the past. It occurs between signal contributions that originate from the same magnetic resonance transition of atoms with different positions within the inhomogeneously broadened optical resonance line. These atoms contribute to the coherent Raman scattering through different scattering paths, which involve optical transitions to different nuclear spin states of the same electronic state. We show that the interference between all possible scattering paths leads to complete signal cancellation, if the atoms that are involved in the different scattering paths are equally polarized. To study the effect and to eliminate the interference, we used a pump-and-probe technique with two laser beams. With two independent laser frequencies, it becomes possible to separate the individual scattering paths. We calculate the dependence of the signal on the frequency of both laser beams as well as on the radio frequency and compare the results to experimental data from Pr3+{\mathrm{Pr}}^{3+}Pr3+:YAlO3{\mathrm{YAlO}}_{3}YAlO3​. Our results show that the interference reduces the signal amplitude of the conventional Raman heterodyne experiment but can be eliminated in the new experiment.
In recent years there became actual studies of quantum interference on gamma spectroscopic transitions induced by coherent perturbations.A special attention is paid to gamma transitions in compound systems. In this work it is shown that quantum interference effects (QIE) occur in gamma quantum spontaneous emission spectrum of an electron-nuclear paramagnetic system when electron spin resonance is induced. Occurrence of QIE is connected to preparation of the quantum system initial state. The role of electron relaxation is defined: increase of relaxation rate leads to extinguishing of QIE. The cases of stationary excitation of Mossbauer levels by wide and narrow spectra are considered.