Abstract
A system composed of a harmonic oscillator coupled to a two-level atom is one of the quantum systems, which can be completely solved. Although this system is simple, it is never a easy work for the quantum calculations, especially when the system consists of many such simple constituent parts. In this paper, we present a programming method, by which the calculation tasks for the matrix representation of the Hamiltonian of system can be automatically fulfilled. Coupled-cavity array systems are used to demonstrate our programming method. Some quantum properties of these systems are also discussed.
Highlights
Many experiments showing quantum phenomena have been conducted in different ways
The most common way in dealing with the problem of such a model is to apply the rotating-wave approximation (RWA) method,[22,23] which was first introduced by Jaynes and Cummings in 1963.24 The RWA method has been used in a large amount of works
The quantum systems consisting of harmonic oscillators and two-level atoms are considered
Summary
Many experiments showing quantum phenomena have been conducted in different ways. Considerable effort for realizing photonic devices has been made. The most common way in dealing with the problem of such a model is to apply the rotating-wave approximation (RWA) method,[22,23] which was first introduced by Jaynes and Cummings in 1963.24 The RWA method has been used in a large amount of works. It helps to solve such problems, yet the calculation tasks are still very heavy. We present our methods and provide some examples
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