Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review B

Quantum mechanical study of resonant scattering in a nuclear Λ scheme

S. Gheysen, J. Odeurs

Published Oct 31, 2006• 7 citations
Publisher

Abstract

We present a fully quantum mechanical treatment of resonant scattering of gamma radiation in a nuclear medium exhibiting a $\ensuremath{\Lambda}$ scheme through level mixing. A framework is presented to derive the radiation intensity for $N$ effective scatterers contributions. A closed-form solution for the radiation intensity is obtained and compared to the generic expression of EIT in an atomic $\ensuremath{\Lambda}$ scheme. Although the nuclear scheme does not fulfill EIT conditions, the observable effects are similar. We show that the change in polarization of the scattered radiation, due to the level mixing, gives rise to the development of a strong complementary polarization state which is delayed with respect to the incident photon to a reduction in absorption because this state does not interfere with the incident photon.

DOI
10.1103/physrevb.74.155443

Related papers

Transparency and delay in resonant scattering of gamma photons

S. Gheysen, K. Vyvey, J. Odeurs

We present a fully quantum mechanical treatment of resonant scattering of gamma radiation in a nuclear Λ-scheme. Simulations of the closed-form solution for the radiation intensity for N effective scatterers contributions are compared with Mössbauer spectra of FeCO3. It is shown that, although the nuclear level mixing scheme does not fulfill EIT conditions, the observable effects are similar. The change in polarization of the scattered radiation, due to level mixing, gives rise to the development of a strong complementary polarization state which is delayed with respect to the incident photon and to a reduction in absorption because this state does not interfere with the incident photon.

Journal of Modern Optics•Oct 25, 2006•1 citation

Nuclear level mixing-induced interference in FeCO3

S. Gheysen, J. Odeurs

We present a detailed description and a consistent explanation of the transparency observed in the Mössbauer absorption spectra at a nuclear level mixing in FeCO3. We develop a model for scattering in this nuclear Λ system in a Maxwell–Schrödinger approach, taking into account multiple scattering and polarization effects. It is shown that the level mixing scheme not only yields an expected Stark splitting, but, due to the unequal relaxation rates and transition strengths, an additional interference term is present. Therefore, this scheme is equivalent to the Λ scheme considered for EIT in quantum optics. The interference in the absorption of the gamma radiation can be destructive, leading to a partial transparency, but can also be constructive. Both types of interference are present in the observed spectra.

Journal of Physics Condensed Matter•Oct 28, 2008•8 citations

Group velocity in a nuclear EIT-like Λ scheme and comparison with optical EIT

J. Odeurs, S. Gheysen, R. N. Shakhmuratov

The group velocity of gamma radiation scattered in the forward direction by a nuclear lambda scheme experiencing level mixing induced transparency, which shows some similarity to optical EIT, has been investigated. The equations for the nuclear coherences governing the group velocity have been solved. The group velocity decreases with the density of the resonant nuclei and with a decrease in the intensity of the mixing interaction. A comparison between the group velocity of the gamma radiation and the probe radiation in “classical” optical EIT conditions has been made.

Laser Physics•Sep 1, 2007•3 citations

Aspects of EIT with gamma radiation

S. Gheysen, Romain Coussement, Hajime Muramatsu +3 more

We have observed the effect of electromagnetically induced transparency (EIT) in a nuclear system. A series of Mössbauer measurements was performed on a single crystal of natural FeCO3. When the condition of nuclear level crossing is fulfilled, a clear reduction in absorption or transparency is seen at the point of level crossing. This reduced absorption cannot be ascribed to saturation effects because of the specific geometry of the experiment. We present an explanation in terms of level mixing by a small non-axial component of the electric field gradient. It can be shown that such a scheme is equivalent, at least in principle, with the schemes considered for EIT in quantum optics.

Journal of Modern Optics•Nov 1, 2004•7 citations

Towards more relaxed conditions for a gamma‐ray laser: Methods to realize induced transparency for nuclear resonant gamma radiation

J. Odeurs, Gilbert R. Hoy, Yuri V. Rostovtsev +1 more

Abstract Nuclear quantum optics deals with the resonant interaction of gamma‐radiation and nuclei, generally incorporated in a solid‐state material. Single gamma‐rays interact with an ensemble of nuclei. The properties of the resonantly forward‐scattered gamma‐radiation depend on the details of the interaction. An external modification of the nuclear energies will influence the interactions, and hence the properties of the radiation. Several techniques are proposed to reduce the resonant absorption of the gamma‐rays, creating a nuclear medium that is partially transparent: nuclear‐level‐mixing induced transparency, modification of nuclear levels by means of an optical laser, phase‐shift‐induced transparency. Interference is crucial in all this. The partial transparency could be exploited to study special effects such as slow gamma‐radiation and gain without population inversion. It could also be of importance for the realization of a gamma‐ray laser.

Laser & Photonics Review•Mar 16, 2009•13 citations

Quantum interference effects of γ radiation under crossing-anticrossing of nuclear levels in an RF field

Sh. Sh. Bashkirov, V. Yu. Lyubimov, E. A. Popov +2 more

The quantum interference effects occurring in resonant scattering of a γ photon in the multilevel γ-optical medium 57 Fe, affected by an external RF field, have been theoretically investigated. It is shown that a significant reconstruction of the hyperfine structure of nuclear states leads to the interference of partial forwardscattering amplitudes of a γ photon and, therefore, to a significant change in the nuclear refractive index of the γ-optical medium, depending on the amplitude, frequency, and phase of the external RF field. The conditions are found under which the effect of electromagnetically induced transparency can be observed in the technique of in-phase detection of γ photons.

Bulletin of the Russian Academy of Sciences Physics•Sep 1, 2007•1 citation
We present a fully quantum mechanical treatment of resonant scattering of gamma radiation in a nuclear medium exhibiting a \ensuremathΛ\ensuremath{\Lambda}\ensuremathΛ scheme through level mixing. A framework is presented to derive the radiation intensity for NNN effective scatterers contributions. A closed-form solution for the radiation intensity is obtained and compared to the generic expression of EIT in an atomic \ensuremathΛ\ensuremath{\Lambda}\ensuremathΛ scheme. Although the nuclear scheme does not fulfill EIT conditions, the observable effects are similar. We show that the change in polarization of the scattered radiation, due to the level mixing, gives rise to the development of a strong complementary polarization state which is delayed with respect to the incident photon to a reduction in absorption because this state does not interfere with the incident photon.
We present a fully quantum mechanical treatment of resonant scattering of gamma radiation in a nuclear Λ-scheme. Simulations of the closed-form solution for the radiation intensity for N effective scatterers contributions are compared with Mössbauer spectra of FeCO3. It is shown that, although the nuclear level mixing scheme does not fulfill EIT conditions, the observable effects are similar. The change in polarization of the scattered radiation, due to level mixing, gives rise to the development of a strong complementary polarization state which is delayed with respect to the incident photon and to a reduction in absorption because this state does not interfere with the incident photon.
We present a detailed description and a consistent explanation of the transparency observed in the Mössbauer absorption spectra at a nuclear level mixing in FeCO3. We develop a model for scattering in this nuclear Λ system in a Maxwell–Schrödinger approach, taking into account multiple scattering and polarization effects. It is shown that the level mixing scheme not only yields an expected Stark splitting, but, due to the unequal relaxation rates and transition strengths, an additional interference term is present. Therefore, this scheme is equivalent to the Λ scheme considered for EIT in quantum optics. The interference in the absorption of the gamma radiation can be destructive, leading to a partial transparency, but can also be constructive. Both types of interference are present in the observed spectra.
The group velocity of gamma radiation scattered in the forward direction by a nuclear lambda scheme experiencing level mixing induced transparency, which shows some similarity to optical EIT, has been investigated. The equations for the nuclear coherences governing the group velocity have been solved. The group velocity decreases with the density of the resonant nuclei and with a decrease in the intensity of the mixing interaction. A comparison between the group velocity of the gamma radiation and the probe radiation in “classical” optical EIT conditions has been made.
We have observed the effect of electromagnetically induced transparency (EIT) in a nuclear system. A series of Mössbauer measurements was performed on a single crystal of natural FeCO3. When the condition of nuclear level crossing is fulfilled, a clear reduction in absorption or transparency is seen at the point of level crossing. This reduced absorption cannot be ascribed to saturation effects because of the specific geometry of the experiment. We present an explanation in terms of level mixing by a small non-axial component of the electric field gradient. It can be shown that such a scheme is equivalent, at least in principle, with the schemes considered for EIT in quantum optics.
Abstract Nuclear quantum optics deals with the resonant interaction of gamma‐radiation and nuclei, generally incorporated in a solid‐state material. Single gamma‐rays interact with an ensemble of nuclei. The properties of the resonantly forward‐scattered gamma‐radiation depend on the details of the interaction. An external modification of the nuclear energies will influence the interactions, and hence the properties of the radiation. Several techniques are proposed to reduce the resonant absorption of the gamma‐rays, creating a nuclear medium that is partially transparent: nuclear‐level‐mixing induced transparency, modification of nuclear levels by means of an optical laser, phase‐shift‐induced transparency. Interference is crucial in all this. The partial transparency could be exploited to study special effects such as slow gamma‐radiation and gain without population inversion. It could also be of importance for the realization of a gamma‐ray laser.
The quantum interference effects occurring in resonant scattering of a γ photon in the multilevel γ-optical medium 57 Fe, affected by an external RF field, have been theoretically investigated. It is shown that a significant reconstruction of the hyperfine structure of nuclear states leads to the interference of partial forwardscattering amplitudes of a γ photon and, therefore, to a significant change in the nuclear refractive index of the γ-optical medium, depending on the amplitude, frequency, and phase of the external RF field. The conditions are found under which the effect of electromagnetically induced transparency can be observed in the technique of in-phase detection of γ photons.