Dynamical theory of an atom with two or three levels interacting with quantized cavity fields

Elham Faraji, Mohammad Kazem Tavassoly

A.‐S. F. Obada, Mahmoud Abdel‐Aty

S. Abdel‐Khalek

Cuiling Zhang, Rui Dang, Jiali Zhang

In the framework of algebraic dynamics, the dynamics of a V-type three-level atom interacting with a two-mode of the quantized cavity field is considered with atomic center-of-mass motion included. The general analytical expressions for the linearized Hamiltonian and the reduced density operator are derived, which can be used to calculate the expectation values of any system operators. As an illustration, analytical expressions for the optical forces are obtained.

Zhong Feng Tang

We develop a transformation theory in quantum physics, where the transformation operators, defined in the infinite-dimensional Hilbert space, have right-unitary inverses only. Through several theorems, we discuss the properties of state space of such operators. As one application of the right-unitary transformation (RUT), we show that using the RUT method, we can solve exactly various interactions of many-level atoms with quantized radiation fields, where the energy of atoms can be two levels, three levels in \ensuremath{\Lambda}, V, and \ensuremath{\equiv} configurations, and up to higher (>3) levels. These interactions have wide applications in atomic physics, quantum optics, and quantum electronics. In this paper, we focus on two typical systems: one is a two-level generalized Jaynes-Cummings model, where the cavity field varies with the external source; the other one is the interaction of a three-level atom with quantized radiation fields, where the atoms have \ensuremath{\Lambda}-configuration energy levels, and the radiation fields are one-mode or two-mode cavities. \textcopyright{} 1996 The American Physical Society.

N. H. Abdel-Wahab