New Line-Narrowing Effect in Triple-Quantum Resonance in a Two-Level NMR System

Hatanaka, Hiroshi; Tabuchi, Noriyuki

doi:10.1006/jmre.2001.2492

Cited by 8 publications

(20 citation statements)

References 6 publications

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“…However, the higher frequency oscillations were not observed in a previous work [4], and also, no observation of such higher frequency oscillations has so far been reported, to our knowledge. The present paper is the first and detailed report on the theoretical and experimental investigations of the higher frequency oscillations.…”

Section: Introductioncontrasting

confidence: 61%

“…The coefficient ðB À AÞ=2 is equivalent to K in a previous work [4]. The coefficients A, B, and C are also determined only by u m under the condition of exact resonance.…”

Section: Basic Theory Of the Tq Resonancementioning

confidence: 96%

“…The TQ resonance induced by the oscillating field at a particular frequency and a particular intensity produces a TQ transient nutation of an extraordinary long decay time. The theory that we have developed to explain the narrowing effect shows that the long decay time is explained by the disappearance of the secular part and the very small nonsecular parts of the magnetic dipole Hamiltonian [4]. This type of narrowing is not a straightforward TQ analog of the usual magic angle narrowing [1].…”

Section: Introductionmentioning

confidence: 94%

“…Recently, we found another type of line narrowing that is produced by a triple quantum (TQ) resonance in a two-level NMR system [4]. The TQ resonance is caused by the cooperation of the rotating and the counter-rotating components of the oscillating field as illustrated in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Triple quantum nutation in the two-level NMR system in the rotating frame

Hatanaka

Sugiyama

Tabuchi

2003

Journal of Magnetic Resonance

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The authors present the detailed theory and the new results associated with the triple quantum (TQ) nutation and the line narrowing effect of the TQ resonance in the two-level NMR system which we reported previously. The TQ resonance is induced in the spin-locked system by the oscillating field produced by the sinusoidal phase modulation (PM) of the RF field. The theory predicts that the TQ nutation is accompanied by several higher frequency oscillations and we detected them experimentally by improving the detection system. These higher frequency oscillations are due to the fluctuation of the angle between the transverse or effective field causing the TQ nutation and the RF field. We obtain the result that the modulation index 2phim of the PM is the key parameter that essentially controls the conditions of the TQ resonance and the narrowing effect. Under the exact TQ resonance, the ratio of the TQ resonance frequency to the Larmor frequency of the RF field depends only on phim, and the secular part of the magnetic dipole Hamiltonian of a like spin system in the triply rotating frame disappears at a particular value of phim. The condition is different from that of the well-known magic angle condition.

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Section: Introductioncontrasting

confidence: 61%

“…The coefficient ðB À AÞ=2 is equivalent to K in a previous work [4]. The coefficients A, B, and C are also determined only by u m under the condition of exact resonance.…”

Section: Basic Theory Of the Tq Resonancementioning

confidence: 96%

Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Triple quantum nutation in the two-level NMR system in the rotating frame

Hatanaka

Sugiyama

Tabuchi

2003

Journal of Magnetic Resonance

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“…Furthermore, we have shown, beginning with the general Dirac current density as given in Eq. [62], that the spin current density [69] is, indeed, a vector with spin wave functions as components. Furthermore in Section ''Spin Current Density, Zeeman Hamiltonian, and Larmor Precession'' we have seen that the spin current density function, j spin , Eq.…”

Section: Interaction Of a Spin-1/2 Particle With External Time-harmonmentioning

confidence: 97%

Virtual photons in magnetic resonance

Engelke¹

2010

Concepts Magnetic Resonance

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Magnetic resonance often relies on a semi-classical picture in which the spin particles are submitted to quantum theory and the electromagnetic field is treated as a classical field. Although in many applications there are very good reasons to work within this theoretical framework, it appears worthwhile either for educational purposes, or for studies in magnetic resonance with microscopically small samples or very weak rf fields as well as for other applications that may seem exotic today, to ask how to gain a unified view when comparing the concepts and methods of quantum electrodynamics (QED) with those of classical electrodynamics commonly used in magnetic resonance. The present article attempts to develop such a unified view for electromagnetic interactions in magnetic resonance by focusing on the concept of virtual photon exchange based on the Feynman propagator technique and by exploring the cross links between basic aspects of ' 'semi-classical magnetic resonance' ' and the same basic aspects of magnetic resonance as seen through the frame of QED.

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Multi-photon transitions and Rabi resonance in continuous wave EPR

Saǐko

Fedaruk

Markevich

2015

Journal of Magnetic Resonance

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Abstract. The study of microwave and radiofrequency multi-photon transitions in continuous wave (CW) EPR spectroscopy is extended to a Rabi resonance condition, when the radio frequency of the magnetic-field modulation matches the Rabi frequency of a spin system in the microwave field. Using the non-secular perturbation theory based on the Bogoliubov averaging method, the analytical description of the response of the spin system is derived for all modulation frequency harmonics. When the modulation frequency exceeds the EPR linewidth, multi-photon transitions result in sidebands in absorption EPR spectra measured with phasesensitive detection at any harmonic. The saturation of different-order multi-photon transitions is shown to be significantly different and to be sensitive to the Rabi resonance. The noticeable frequency shifts of sidebands are found to be the signatures of this resonance. The inversion of two-photon lines in some spectral intervals of the out-of-phase first-harmonic signal is predicted under passage through the Rabi resonance. The inversion indicates the transition from absorption to stimulated emission or vice versa, depending on the sideband. The manifestation of the primary and secondary Rabi resonance is also demonstrated in time-resolved steady-state EPR signals formed by all harmonics of the modulation frequency. Our results provide a theoretical framework for future developments in multi-photon CW EPR spectroscopy, which can be useful for samples with long spin relaxation times and extremely narrow EPR lines.

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New Line-Narrowing Effect in Triple-Quantum Resonance in a Two-Level NMR System

Cited by 8 publications

References 6 publications

Triple quantum nutation in the two-level NMR system in the rotating frame

Triple quantum nutation in the two-level NMR system in the rotating frame

Virtual photons in magnetic resonance

Multi-photon transitions and Rabi resonance in continuous wave EPR

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