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Journal ArticleDOI

Adiabatic rotational splittings and Berry's phase in nuclear quadrupole resonance.

R. Tycko
- 01 Jun 1987 - 
- Vol. 58, Iss: 22, pp 2281-2284
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.

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Journal ArticleDOI

Line splitting by mechanical rotation in nuclear magnetic resonance

TL;DR: In this article, it was shown that the splitting originates in the nuclear spin motion under mechanical rotation, and is determined by only the angular velocity of the rotation without any material parameters.
Journal ArticleDOI

Hamilton's turn and geometric phase for two-level systems

R Simon, +1 more
- 21 Nov 1992 - 
TL;DR: In this paper, a geometric representation for the composition of SU(2) elements, in terms of turns on the unit sphere S2, is introduced, and the special roles played by piecewise geodesic circuits in the state space and evolution under constant Hamiltonian are recognized.
Journal ArticleDOI

Geometric dephasing in zero-field magnetic resonance

TL;DR: In this article, the form and extent of coherence dephasing in nuclear spin systems were calculated in two ways: first, using an analytical treatment of the diffusive motion of individual nuclei and second, using ensemble averaged propagators.
Journal ArticleDOI

Berry’s phase for a noncyclic rotation of light in a helically wound optical fiber

TL;DR: In this paper, the authors investigated Berry's phase for noncyclic evolution using the rotation of a polarization azimuth of linearly polarized light in a partially wound optical fiber over the surface of a cylinder.
Journal ArticleDOI

Berry dephasing due to diffusion in nuclear quadrupole resonance

TL;DR: In this paper, it was shown that Berry's phase can give rise to coherence dephasing in optically detected nuclear quadrupole resonance of gaseous 131Xe.
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