Journal ArticleDOI
Adiabatic rotational splittings and Berry's phase in nuclear quadrupole resonance.
TLDR
Sample rotation is shown to induce frequency splittings in nuclear-quadrupole-resonance spectra, interpreted both as a manifestation of Berry's phase and as a result of a fictitious magnetic field, associated with a rotating-frame transformation.Abstract:
Sample rotation is shown to induce frequency splittings in nuclear-quadrupole-resonance spectra. The splittings are interpreted both as a manifestation of Berry's phase, associated with an adiabatically changing Hamiltonian, and as a result of a fictitious magnetic field, associated with a rotating-frame transformation. Real and fictitious fields are contrasted. Related effects are predicted in other magnetic resonance experiments that involve sample rotation.read more
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Journal ArticleDOI
Noise Effects on the Wilczek-Zee Geometric Phase
TL;DR: In this paper, the effects of noise on the Wilczek-Zee holonomy are computed analytically, focusing on the nuclear quadrupole resonance hamiltonian (NQRH).
Measurement of non-Abelian gauge fields using multi-loop amplification
Qing-Xian Lv,Hong-Zhi Liu,Yan-Xiong Du,Lin-Qing Chen,Jia-Hao Liang,Zhaorong Fu,Hui Yan,Shi-Liang Zhu +7 more
TL;DR: In this article , the non-Abelian nature of the gauge field is detected through the measurement of the noncommutativity of two successive evolution loops, and a novel scheme to measure the NAGF through multi-loop evolution and robust holonomic quantum gates is proposed.
А.И. Иванов, В.В. Березюк ПРОЯВЛЕНИЕ НЕАБЕЛЕВОЙ ГЕОМЕТРИЧЕСКОЙ ФАЗЫ В СИСТЕМАХ С КВАДРУПОЛЬНЫМ ВЗАИМОДЕЙСТВИЕМ Рассмотрен эксперимент Р. Тико по вращательному расщепле- нию линий в спектрах ЯКР. Показана связь этого расщепления с не- абелевой геометрической фазой. Вычисленная на основе КЭС вели- чина расщепления согласуется с ее экспериментальным значением.
TL;DR: In this article, the authors present a survey of the state-of-the-art technologies used in the field of data collection and analysis in the context of data mining. But they do not specify any specific applications of their work.
Journal ArticleDOI
The monopole, pure gauge and Born - Oppenheimer equation
TL;DR: In this article, the modified Born-Oppenheimer equation arising from Berry's phase is studied extensively in two physical systems, and the results show the significant topological effects in simple quantum systems.
Journal ArticleDOI
Algebraic dynamic study of geometric phase for a homonuclear linear spincluster
Xiao-Xu Chen,Jun Xue +1 more
TL;DR: In this paper, a homonuclear linear coupling spin cluster with the middle particle driven by an external time-dependent magnetic field is investigated by using the method of algebraic dynamics.