Abstract

Coherent states and dynamics of a photon mode in the Dicke model Hamiltonian are studied by using a method of diagonal coherent-state representation. It is shown that under a strong coupling condition the ground state of the model Hamiltonian is characterized by simultaneous appearance of a photon coherent state and that due to atomic polarization. The energy eigenvalue of such a combined coherent state is shown to be lower than that of the in which all atoms in a matter system are in their ground state while no photon is present. An exact solution for the time evolution of the coherent-state representation of the photon number operator is obtained in terms of the Jacobi elliptic functions. It is shown that periodic, pulse-like and stationary solutions exist under various initial conditions.

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