Large geometric phases and non-elementary monopoles

Authors: Leboeuf P.¹; Mouchet A.²

Source: Journal of Physics A: Mathematical and General, Volume 36, Number 11, 2003 , pp. 2847-2856(10)

Publisher: IOP Publishing

Abstract:

Degeneracies in the spectrum of an adiabatically transported quantum system are important to determine the geometrical phase factor, and may be interpreted as magnetic monopoles. We investigate the mechanism by which constraints acting on the system, related to local symmetries, can create arbitrarily large monopole charges. These charges are associated with different geometries of the degeneracy. An explicit method to compute the charge as well as several illustrative examples are given.

Language: English

Document Type: Miscellaneous

Affiliations: 1: Laboratoire de Physique Théorique et Modèles Statistiques, Bto 100, Université de Paris-Sud, 91405 Orsay Cedex, France 2: Laboratoire de Mathématiques et de Physique Théorique (CNRS UMR 6083), Université François Rabelais, avenue Monge, Parc de Grandmont, 37200 Tours, France

Publication date: 2003-01-01

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics ,  Physics (General)
• By this author: Leboeuf P. ;  Mouchet A.

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers