We propose a model of feedforward (open-loop) optical control of two-level atom in the linearized form. This model allows to express the general form of solution for the atomic level populations via the arbitrary shapes of the control signal. Then we make numerical investigations of different shapes for the optical control signal.
The methods of mathematical control theory are widely used in the modern physics, but still they are less popular in quantum science. We will discuss the aspects of control theory, which are the most useful in applications to the real problems of quantum optics. We apply this technique to control the behavior of the two-level quantum particles (atoms) in the modulated external optical field in the frame of the so called "semi classical model", where quantum two-level atomic system (all other levels are neglected) interacts with classical electromagnetic field. In this paper we propose a simple model of feedforward (open-loop) control for the quantum particle system, which is a basement for further investigation of two-level quantum particle in the external one-dimensional optical field.
Expressions for polarization and population difference of a quantum system in the modulated optical field at the modulation frequency exceeding the transition line width have been obtained in the form of the Fourier series. The characteristic frequency of the system, or the Rabi frequency, has been determined numerically. It depends not only on the intensity of the carrier wave and the detuning magnitude but also on depth and frequency of modulation. The computational technique is applicable both for amplitude and phase modulation.
Abstract We propose a model for optical switching in a closed-loop three-level lambda atomic system excited by two optical fields, coupling and probe lights, and by a microwave-driven field. A set of coupled Maxwell–Bloch equations for the atom-field system is numerically solved with a combination of the Runge–Kutta and finite difference techniques. It is shown that the transmitted probe light can be switched to a nearly square pulse train by switching the relative phase of the interacting fields or by switching the intensity of the microwave field. Furthermore, the switching mode between the probe field and relative phase can be anti-synchronous or synchronous, depending on the relative phase being modulated to π /2 and 3 π /2 or π and 2 π , respectively. Also, the efficiency and the switching rate can be controlled by the microwave field, the relative phase and the intensity of the coupling field. Such a controllable optical switching model can be applied in the design of optical switching and amplification devices working at low light intensities.