Publication:
Noncyclic geometric phase and its non-Abelian generalization

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Publication Date

1999

Language

English

Type

Journal Article

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Abstract

We use the theory of dynamical invariants to yield a simple derivation of noncyclic analogues of the Abelian and non-Abelian geometric phases. This derivation relies only on the principle of gauge invariance and elucidates the existing definitions of the Abelian nancyclic geometric phase. We also discuss the adiabatic limit of the noncyclic geometric phase and compute the adiabatic non-Abelian noncyclic geometric phase for a spin-1 magnetic (or electric) quadrupole interacting with a precessing magnetic (electric) field.

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Source:

Journal of Physics A: Mathematical and General

Publisher:

Iop Publishing Ltd

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Subject

Physics, Mathematical physics

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