Eur. Phys. J. D (2012) 66: 223
https://doi.org/10.1140/epjd/e2012-20708-2

Regular Article

Berry phase of many-body system: time-dependent representation method

Key Laboratory of Cluster Science of Ministry of Education and School of Physics, Beijing Institute of Technology, Beijing 100081, P.R. China

^a e-mail: linguangyang@126.com

Received: 6 December 2011
Received in final form: 20 April 2012
Published online: 30 August 2012

Abstract

In this paper, we investigate the Berry phase of many-body system in the time-dependent representation. The formula of Berry phase of many-body system calculating in the time-dependent representation is derived. In this scenario, the Berry phase can be decomposed into two terms, which have different physical meanings respectively. Using these formula, we calculated the Berry phase for the many-spin system coupled by the XXZ exchange interaction. The results show that the Berry phase consists of two contributions which can be interpreted as the flux of a nonquantized monopole and the flux of a Dirac ring respectively.