New method for calculating the Berry connection in atom–molecule systems

doi:10.1088/1674-1056/21/11/110303

Abstract In the mean-field theory of atom-molecule systems, where the bosonic atoms combine to form molecules, there is no usual U(1) symmetry, which presents an apparent hurdle for calculating the Berry connection in these systems. We develop a perturbation expansion method of Hannay's angle suitable for calculating the Berry curvature in the atom-molecule systems. With this Berry curvature, the Berry connection can be naturally computed. We use a three-level atom-molecule system to illustrate our results. In particular, with this method, we compute the curvature for Hannay's angle analytically, and compare it to the Berry curvature obtained with the second-quantized model of the same system. An excellent agreement is found, indicating the validity of our method.

Keywords: Berry phase nonlinearity Hannay's angle mean field theory

Received: 05 April 2012
Revised: 04 May 2012
Accepted manuscript online:

PACS:	03.65.Ca	(Formalism)
	03.65.Vf	(Phases: geometric; dynamic or topological)
	03.75.Mn	(Multicomponent condensates; spinor condensates)
	32.90.+a	(Other topics in atomic properties and interactions of atoms with photons)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10825417).

Corresponding Authors: Cui Fu-Cheng
E-mail: cfc9qiqi@hotmail.com

Cite this article:

Cui Fu-Cheng (崔傅成), Wu Bao-Jun (吴宝俊 ) New method for calculating the Berry connection in atom–molecule systems 2012 Chin. Phys. B 21 110303

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