Abstract: In order to provide advice on the control of the geometric phase of a quantum system, it explores the Berry phase in a tunneling double-quantum-dot molecule interacting with a quantized single-mode field by the full quantum theory. Effects of parameters, such as the mean photon number of the field, field-dot detuning, tunneling energy-level detuning, linear and nonlinear field-dot coupling, on the geometric phase were researched. The results show that in the region where anticrossing of the eigenenengy levels of the system occurs, the Berry phase can be efficiently controlled by adjusting the applied voltage exerted on the quantumdot molecule. The conclusion may be applied in quantum computation.

Key words: Berry phase; quantum dot; quantized field