Abstract
We represent a theoretical approach that is based on approximate formulation of the second quantization method at low temperatures. It allows to study a system consisting of alkali atoms response to the perturbation by the external electromagnetic field. We show that such approach is convenient to study the propagation properties of microwave signal, tuned up to the transition between hyperfine ground state levels of alkali atoms that are considered in Bose-Einstein condensation (BEC) state. The phenomenon is studied in case of hyperfine levels Zeeman splitting. The dependence of pulse slowing on the system parameters is found. It is shown that a slowed signal can propagate in such system with rather small energy loss. A possibility to observe ultra-slow microwaves in the condensed gas of cesium atoms is discussed.
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