Physics – Quantum Physics
Scientific paper
2006-08-28
Physics
Quantum Physics
1 figure
Scientific paper
10.1103/PhysRevA.74.054101
We obtain the ground-state energy level and associated geometric phase in the Dicke model analytically by means of the Holstein-Primakoff transformation and the boson expansion approach in the thermodynamic limit. The non-adiabatic geometric phase induced by the photon field is derived with the time-dependent unitary transformation. It is shown that the quantum phase transition characterized by the non-analyticity of the geometric phase is remarkably of the first-order. We also investigate the scaling behavior of the geometric phase at the critical point, which can be measured in a practical experiment to detect the quantum phase transition.
Chen Gang
Li Juqi
Liang Jing-Qiu
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