Critical Property of the Geometric Phase in the Dicke Model with the Dipole-dipole Interactions

材料科学技术（英文）, 2008, 24(6): 960-962.

^1, , ^2, , ^3,

1.College of science, Dalian Nationalities University, Dalian 116600, China

2.College of science, Dalian Nationalities University, Dalian 116600, China

3.College of science, Dalian Nationalities University, Dalian 116600, China

Critical Property of the Geometric Phase in the Dicke Model with the Dipole-dipole Interactions

Yunfeng WU ^1, , Ping ZHANG ^2, , Jianzhou ZHENG ^3,

1.College of science, Dalian Nationalities University, Dalian 116600, China

2.College of science, Dalian Nationalities University, Dalian 116600, China

3.College of science, Dalian Nationalities University, Dalian 116600, China

Keywords： Geometric phases

We obtained the ground-state energy level and associated geometric phase in the Dicke model with the dipole-dipole interactions analytically by the Holstein-Primakoff transformation and the boson expansion approach in the thermodynamic limit.The nonadiabatic geometric phase induced by the photon field was derived with the time-dependent unitary transformation.It is shown that dipole-dipole interactions have a deep influence on scaled behavior of the geometric phase at the critical point.

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Critical Property of the Geometric Phase in the Dicke Model with the Dipole-dipole Interactions

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