Dynamics of the quantized radiation field in a cavity vibrating at the fundamental frequency

Abstract

We present a method to solve exactly a one-dimensional model of quantized radiations in a cavity oscillating in the fundamental resonance, using the effective Hamiltonian derived by C. K. Law [Phys. Rev. A 49, 433 (1994)]. With this method, we derived explicit analytical expressions for the diagonalized Hamiltonian, the time-varying annihilation, creation, and photon number operators for the radiation field, which completely specify the dynamics of the system.