Berry Phase and Fidelity in the Dicke model with $A^{2}$ term

Details Berry Phase and Fidelity in the Dicke model with $A^{2}$ term Berry Phase and Fidelity in the Dicke model with $A^{2}$ term

2009-01-18

arxiv.org/abs/0901.2705v1

Optics Communications 283, 3459 (2010)

Physics

Quantum Physics

6 pages, 6 figures,

Scientific paper

The instability, so-called the quantum-phase-like transition, in the Dicke model with a rotating-wave approximation for finite $N$ atoms is investigated in terms of the Berry phase and the fidelity. It can be marked by the discontinuous behavior of these quantities as a function of the atom-field coupling parameter. Involving an additional field $A^{2}$ term, it is observed that the instability is not eliminated beyond the characteristic atom-field coupling parameter even for strong interaction of the bosonic fields, contrarily to the previous studies.

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