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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

Detecting non-Abelian geometric phase in circuit QED

TL;DR: By controlling the external magnetic flux of the transmon qubits, this work can obtain an effective tripod interaction of the circuit QED setup and show that the noncommutative feature of the non-Abelian geometric phase can be unambiguously detected in the proposed system.
Journal ArticleDOI

Measurement of the Berry phase with polarized neutrons

TL;DR: When a quantum mechanical system is transported adiabatically around a closed circuit in parameter space, the system will, in addition to the usual dynamical phase, pick up a topological phase which depends only on the geometric history of the system as mentioned in this paper.

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Journal ArticleDOI

Effective geometric phases and topological transitions in SO(3) and SU(2) rotations.

TL;DR: It is shown that nonadiabatic dynamics lead to a topological phase transition determined by a change in the driving field topology, associated with an effective geometric phase which is identified from the paths of the magnetic moments in a spherical geometry.
Journal ArticleDOI

Geometric phase in NMR interferometry experiment

TL;DR: In this paper, Suter et al. used the Euler rotation representation for the SU(2) group to detect geometric phase effects in nuclear magnetic resonance and showed that the observed geometric phase is a frame-related phase.
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