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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

Nanoscale quantum gyroscope using a single 13C nuclear spin coupled with a nearby NV center in diamond

TL;DR: In this paper, a new type of gyroscope based on the Berry phase generated during rotation of the quantum system by using a single 13C nuclear spin coupled with a nearby nitrogen-vacancy center in diamond was proposed.
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14N overtone nuclear magnetic resonance of rotating solids.

TL;DR: The theory of 14NOT NMR of static or rotating samples and the physical picture of the intriguing spinning-induced shift in the second case are presented and perturbation theory for the case of static samples and Floquet theory for rotating samples are used.
Journal ArticleDOI

Non-Abelian Berry phase for open quantum systems: Topological protection versus geometric dephasing

TL;DR: In this article, the authors show that non-Abelian geometric phase survives the presence of an environment, albeit modified, and that dissipative coupling is manifest in the non-abelian dynamics.
Journal ArticleDOI

WKB calculation of quantum adiabatic phases and nonadiabatic corrections

TL;DR: In this article, the dynamical and Berry phases are recognized as the first two terms in a systematic WKB expansion in powers of e = 1/T, and a simple method for the calculation of adiabatic phases and for a consistent inclusion of nonadiabatic corrections is provided.
Dissertation

Signatures relativistes en spectroscopie de matériaux topologiques : en volume et en surface

TL;DR: In this paper, a caractere relativiste de materiaux topologiques tridimensionnels : les semi-metaux de Weyl et les isolants topologique.
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