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International Journal of Theoretical Physics

Geometric Phase in the Interaction System of Multi-atom in Micro-cavity with Single-mode Photon Field

Xian-Ming Qin, Zhao-Xian Yu

Published Mar 18, 2010• 0 citations
Publisher
DOI
10.1007/s10773-010-0287-4

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In this paper, we investigate the behaviour of the geometric phase of a more generalized nonlinear system composed of an effective two-level system interacting with a single-mode quantized cavity field. Both the field nonlinearity and the atom–field coupling nonlinearity are considered. We find that the geometric phase depends on whether the index k is an odd number or an even number in the resonant case. In addition, we also find that the geometric phase may be easily observed when the field nonlinearity is not considered. The fractional statistical phenomenon appears in this system if the strong nonlinear atom–field coupling is considered. We have also investigated the geometric phase of an effective two-level system interacting with a two-mode quantized cavity field.