Abstract 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
Published: 20 January 2008
(Phases: geometric; dynamic or topological)
(Foundations of quantum mechanics; measurement theory)
(Quantum computation architectures and implementations)
(Nonlinear dynamics and chaos)
supported partially by the National Natural Science Foundation of
China (Grant Nos
10575040 and 10634060).
Cite this article:
Liu Ji-Bing, Li Jia-Hua, Song Pei-Jun, Li Wei-Bin Berry phase in a generalized nonlinear two-level system 2008 Chin. Phys. B 17 38