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

Physics Experimentation

Relationship of opto-magnetic resonance signal magnitude and rf field amplitude

Wei Cui

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

In the experiment of opto-magnetic resonance, it is observed that single quantum transition resonance signal magnitude rapidly increases and goes to saturation, then slowly goes down with increase of rf field amplitude. Double quantum transition resonance signal is observed when rf field amplitude is more than 3.5 V. Relationship of signal magnitude and rf field amplitude is a squared function. Experimental results are analyzed.

Related papers

Theoretical and experimental research on the process of optical pump magnetic resonance

Guangzhao Zhou

A theoretical model about the process of optical pump magnetic resonance resonance has been established by analyzing the atomic radiative transition process and transition rate. On the basis,the relationship between signal amplitude of optical pump magnetic resonance and the amplitude of sweep field has been derived and compared with the experimental results. It is found that theoretical calculation is in agreement well with the experimental results,thus,the experiment is of great significance on the deep understanding of the optical pump magnetic resonance process.

College Physics•Jan 1, 2013•0 citations

Further Observations of Multiple-Quantum Transitions. Saturation Effects in Radio-Frequency Transitions

Polykarp Kusch

Multiple-quantum as well as the single-quantum transitions, $\ensuremath{\Delta}F=0$, $\ensuremath{\Delta}m=\ifmmode\pm\else\textpm\fi{}1, 2, 3, 4$, have been observed in ${\mathrm{K}}^{39}$. In the neighborhood of the rf amplitude, required to give a maximum transition probability, the lines have the behavior predicted for transitions induced by a rectangular rf pulse. For higher rf amplitudes, the line width becomes constant or else decreases after having reached a maximum width, the line frequency is modified less rapidly than predicted and anomalous transition probabilities occur. All these effects are markedly dependent on the details of construction of the rf circuit in which transitions are induced. It is suggested that these effects may arise from the end regions of the circuit through an adiabatic traverse of the circuit by the atom.

Physical Review•Jan 15, 1956•49 citations

Analysis of optical pumping signal

Xiaoping Zhang

Optical pumping signal subjected to a scanning magnetic field was experimentally observed.According to the theory of atom radiation transition,a simplified energy model of optical pumping was established and the equation of transition rate was set based on the optical pumping magnetic resonance experiment.The dependences of the signal intensity and relaxation time on the magnetic field were numerically calculated,and the results were in good agreement with the experiment.

Physics Experimentation•Jan 1, 2011•0 citations

Amplitude-modulated optical double resonance

van K.A.H. Leeuwen, Michael Francis

We have investigated the interaction between bichromatic optical fields and atomic transitions. We have considered both the interaction of a saturating bichromatic field in the form of a 100% amplitude-modulated field resonantly interacting with a single atomic transition as well as the interaction of a pair of 100% amplitude-modulated fields with two coupled atomic transitions. In our studies of a single atomic transition resonantly excited by a 100% amplitude-modulated field we have used a fully quantum-electrodynamical analysis to model the Autler-Townes effect induced by a bichromatic optical field. We find that the effect induced by a bichromatic field is markedly different from the effect produced by a monochromatic exciting field. We have derived analytic expressions for the bichromatic Autler-Townes absorption spectrum. The absorption spectrum consists of equally spaced lines spaced by the modulation frequency. The linewidths of neighboring lines alternate as functions of the field strength. Experimentally, we observed this spectrum for both resonant and detuned 100% amplitude-modulated driving fields by monitoring the absorption of a weak monochromatic field as it was tuned about the resonance frequency of the 3²P₃/₂(F = 3, mF = 3) ↔ 4²D₅/₂(F = 4, mF = 4) transition while driving the 3²S₁/₂(F = 2, mF = 2) ↔ 3²P₃/₂(F = 3, mF = 3) transition with a saturating 100% amplitude-modulated field. We found excellent agreement between our predicted and measured spectra. We then investigated the resonant interaction between a pair of 100% amplitude-modulated fields and two atomic transitions sharing a common atomic level. We considered both a three-level atomic cascade system and a three-level atomic lambda system. We examined the effect that the relative phase between the two modulations has on the rate at which the modulated fields are absorbed. We find that the saturated time-averaged field absorption exhibits parametric resonances in both the cascade and lambda systems. The time-averaged absorption is strongly dependent upon the relative phase of modulation between the two fields and for certain phase differences the time-averaged absorption can be enhanced over the maximum saturated absorption experienced by cw fields of the same time-averaged intensities. We also find that the stationary atomic response exhibits periodic oscillations and for the cascade system periodic two-photon inversions of up to 40% can be achieved. We further find dark absorption resonances as a function of phase in the lambda system. We analyze the results from the point of view of semi-classical adiabatic dressed states.

•Jan 1, 1998•0 citations

Theory of Optical-Microwave Double Resonance. III. Double Resonance with Off-Resonant Optical Radiation

Michio Takami

The theory of optical-microwave double resonance is extended to the case of the off-resonant optical field. Line shapes for fixed optical and variable microwave frequencies are calculated under various conditions by the density matrix method. Analytical expressions are given for small microwave or small optical saturation. When the off-resonance is much greater than the Doppler width of the optical transition, optical Stark effect and optical-microwave two-photon transition are the principal effects. When the signal is observed as a variation of microwave absorption, the former effect is much stronger than the latter. When the signal is detected optically, the two-photon and the stepwise transitions for small microwave saturation are the effects with the same order of magnitude, while the optical Stark effect is a secondary effect. The line shapes are also calculated numerically for arbitrary microwave and optical saturation.

Japanese Journal of Applied Physics•Jan 1, 1978•11 citations

Optical saturation resonances in radio-frequency-dressed molecules

F. Bylicki, M. Kolwas, H.G. Weber

In an optical radio-frequency double-resonance experiment on N${\mathrm{O}}_{2}$ optical saturation resonances are observed. These resonances appear superimposed on the normal magnetic resonance spectrum. With increasing laser light intensity they change the resonance spectrum considerably. We present a model to describe the observed saturation phenomena: The resonances are attributed to the interaction of two optical photons and at least one radio-frequency photon with the molecule. The theory shows that saturation resonances appear in the population and in the coherence of the dressed-molecule levels in agreement with the experimental results.

Physical Review A•Mar 1, 1982•9 citations
In the experiment of opto-magnetic resonance, it is observed that single quantum transition resonance signal magnitude rapidly increases and goes to saturation, then slowly goes down with increase of rf field amplitude. Double quantum transition resonance signal is observed when rf field amplitude is more than 3.5 V. Relationship of signal magnitude and rf field amplitude is a squared function. Experimental results are analyzed.
A theoretical model about the process of optical pump magnetic resonance resonance has been established by analyzing the atomic radiative transition process and transition rate. On the basis,the relationship between signal amplitude of optical pump magnetic resonance and the amplitude of sweep field has been derived and compared with the experimental results. It is found that theoretical calculation is in agreement well with the experimental results,thus,the experiment is of great significance on the deep understanding of the optical pump magnetic resonance process.
Multiple-quantum as well as the single-quantum transitions, $\ensuremath{\Delta}F=0$, $\ensuremath{\Delta}m=\ifmmode\pm\else\textpm\fi{}1, 2, 3, 4$, have been observed in K39{\mathrm{K}}^{39}K39. In the neighborhood of the rf amplitude, required to give a maximum transition probability, the lines have the behavior predicted for transitions induced by a rectangular rf pulse. For higher rf amplitudes, the line width becomes constant or else decreases after having reached a maximum width, the line frequency is modified less rapidly than predicted and anomalous transition probabilities occur. All these effects are markedly dependent on the details of construction of the rf circuit in which transitions are induced. It is suggested that these effects may arise from the end regions of the circuit through an adiabatic traverse of the circuit by the atom.
We have investigated the interaction between bichromatic optical fields and atomic transitions. We have considered both the interaction of a saturating bichromatic field in the form of a 100% amplitude-modulated field resonantly interacting with a single atomic transition as well as the interaction of a pair of 100% amplitude-modulated fields with two coupled atomic transitions. In our studies of a single atomic transition resonantly excited by a 100% amplitude-modulated field we have used a fully quantum-electrodynamical analysis to model the Autler-Townes effect induced by a bichromatic optical field. We find that the effect induced by a bichromatic field is markedly different from the effect produced by a monochromatic exciting field. We have derived analytic expressions for the bichromatic Autler-Townes absorption spectrum. The absorption spectrum consists of equally spaced lines spaced by the modulation frequency. The linewidths of neighboring lines alternate as functions of the field strength. Experimentally, we observed this spectrum for both resonant and detuned 100% amplitude-modulated driving fields by monitoring the absorption of a weak monochromatic field as it was tuned about the resonance frequency of the 3²P₃/₂(F = 3, mF = 3) ↔ 4²D₅/₂(F = 4, mF = 4) transition while driving the 3²S₁/₂(F = 2, mF = 2) ↔ 3²P₃/₂(F = 3, mF = 3) transition with a saturating 100% amplitude-modulated field. We found excellent agreement between our predicted and measured spectra. We then investigated the resonant interaction between a pair of 100% amplitude-modulated fields and two atomic transitions sharing a common atomic level. We considered both a three-level atomic cascade system and a three-level atomic lambda system. We examined the effect that the relative phase between the two modulations has on the rate at which the modulated fields are absorbed. We find that the saturated time-averaged field absorption exhibits parametric resonances in both the cascade and lambda systems. The time-averaged absorption is strongly dependent upon the relative phase of modulation between the two fields and for certain phase differences the time-averaged absorption can be enhanced over the maximum saturated absorption experienced by cw fields of the same time-averaged intensities. We also find that the stationary atomic response exhibits periodic oscillations and for the cascade system periodic two-photon inversions of up to 40% can be achieved. We further find dark absorption resonances as a function of phase in the lambda system. We analyze the results from the point of view of semi-classical adiabatic dressed states.
The theory of optical-microwave double resonance is extended to the case of the off-resonant optical field. Line shapes for fixed optical and variable microwave frequencies are calculated under various conditions by the density matrix method. Analytical expressions are given for small microwave or small optical saturation. When the off-resonance is much greater than the Doppler width of the optical transition, optical Stark effect and optical-microwave two-photon transition are the principal effects. When the signal is observed as a variation of microwave absorption, the former effect is much stronger than the latter. When the signal is detected optically, the two-photon and the stepwise transitions for small microwave saturation are the effects with the same order of magnitude, while the optical Stark effect is a secondary effect. The line shapes are also calculated numerically for arbitrary microwave and optical saturation.
In an optical radio-frequency double-resonance experiment on NO2{\mathrm{O}}_{2}O2​ optical saturation resonances are observed. These resonances appear superimposed on the normal magnetic resonance spectrum. With increasing laser light intensity they change the resonance spectrum considerably. We present a model to describe the observed saturation phenomena: The resonances are attributed to the interaction of two optical photons and at least one radio-frequency photon with the molecule. The theory shows that saturation resonances appear in the population and in the coherence of the dressed-molecule levels in agreement with the experimental results.