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Journal ArticleDOI

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

R. Tycko1
01 Jun 1987-Physical Review Letters (American Physical Society)-Vol. 58, Iss: 22, pp 2281-2284
TL;DR: 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
TL;DR: The development of wave optics for light brought many new insights into our understanding of physics, driven by fundamental experiments like the ones by Young, Fizeau, Michelson-Morley and others as mentioned in this paper.
Abstract: The development of wave optics for light brought many new insights into our understanding of physics, driven by fundamental experiments like the ones by Young, Fizeau, Michelson-Morley and others. Quantum mechanics, and especially the de Broglie’s postulate relating the momentum p of a particle to the wave vector k of an matter wave: k = 2 λ = p/ℏ, suggested that wave optical experiments should be also possible with massive particles (see table 1), and over the last 40 years electron and neutron interferometers have demonstrated many fundamental aspects of quantum mechanics [1].

1,194 citations

Journal ArticleDOI
TL;DR: In this article, the fundamental theory of the geometric phase is summarized in a way suitable for use in molecular systems treated by the Born-Oppenheimer approach, both Abelian and non-Abelian cases are considered.
Abstract: The fundamental theory of the geometric phase is summarized in a way suitable for use in molecular systems treated by the Born-Oppenheimer approach. Both Abelian and non-Abelian cases are considered. Applications discussd include the Abelian geometric phase associated with an intersection of two electronic potential-energy surfaces; screening of nuclei by the electrons from an external magnetic field; non-Abelian gauge potentials in molecular systems with Kramers degeneracy; and the coupling between different electronic levels (Born-Oppenheimer breakdown) represented as a gauge potential. Experimental tests for these systems are discussed, as well as a number of experiments on spin systems.

467 citations

Journal ArticleDOI
TL;DR: The theory of nuclear magnetic resonance (NMR) on a solid sample containing pairs of coupled homonuclear spins 1/2, rotating in a large magnetic field, is presented in this paper, where the time dependence introduced by the sample rotation, in conjunction with the spin-spin coupling, makes it appear that each of the central two levels in the four level system split into a pair of virtual states.
Abstract: The theory of nuclear magnetic resonance (NMR) on a solid sample containing pairs of coupled homonuclear spins‐1/2, rotating in a large magnetic field, is presented. The time dependence introduced by the sample rotation, in conjunction with the spin–spin coupling, makes it appear that each of the central two levels in the four‐level system split into a pair of ‘‘virtual states.’’ Each of the eight possible single‐quantum coherences between the virtual states and the two outer levels in general contribute to the spectrum, although four of these contributions are forbidden unless a rotational resonance occurs (matching of an integer multiple of the spinning speed with the difference in isotropic shifts). Analytical line shapes for the case of vanishing shift anisotropy are given and techniques for numerical simulation in the general case demonstrated. The theory of Zeeman magnetization exchange in the presence of zero‐quantum dephasing is presented.

380 citations

Journal ArticleDOI
09 Nov 1992-Nature
TL;DR: When a quantum system evolves so that it returns to its initial physical state, it acquires a "memory" of this motion in the form of a geometric phase in the wavefunction as mentioned in this paper.
Abstract: When a quantum system evolves so that it returns to its initial physical state, it acquires a 'memory' of this motion in the form of a geometric phase in the wavefunction. This phase has observable consequences in a wide range of physical systems, and its presence has now been convincingly demonstrated, for example, in optical and nuclear magnetic resonance experiments.

376 citations

Journal ArticleDOI
TL;DR: In this article, the authors discuss several recent developments of generalized Floquet theorems, formalisms, and quasienergy methods, beyond the conventional Floquet theorem, for accurate nonperturbative treatment of a broad range of strong-field atomic and molecular processes and phenomena of current interests.

347 citations