Dynamical Properties of a Two-Level Atom in Three Variants of the Two-Photon q-Deformed Jaynes-Cummings Model(Atomic and Molecular Physics)

概要

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Temporal evolution of atomic properties including the population inversion and quantum fluctuations of atomic dipole variables are discussed in three variants of the two-photon q-deformed Jaynes-Cummings model. The model is based on the generalized deformed oscillator algebra, [A^^^,A^^^^+] = (N^^^ + 1)f^2(N^^^ + 1) - N^^^f^2(N^^^) in which f(N^^^) as a function of number operator N^^^ determines not only the intensity dependence of atom-field coupling, when the model Hamiltonian is expressed in terms of non-deformed field operators, but also the structure of initial state of the radiation field. With the field initially being in three different types of q-deformed coherent states, each of them corresponding to a particular form of the function f(N^^^), the quantum collapse and revival effects as well as atomic dipole squeezing are studied for both on- arid off-resonant atom-field interaction. Particularly, it is shown that for nonzero detuning the atomic inversion exhibits superstructures, which are absent in the non-deformed Jaynes-Cummings model, and the magnitude of dipole squeezing may be increased.
社団法人日本物理学会の論文
2004-09-15