Creating A Stable Molecular Condensate⁴¹K₂⁸⁷Rb₂ Via A Generalized Efimov-resonancedark-state Scheme

From the proposing of Bose- Einstein condensate theory to successful formation of BEC in the experiment in the early twentieth century, a full seventy years of experience, this is a long and tedious process, but with the formation of BEC in the experiment, which greatly encouraged the scientist’s heart, all about the Bose- Einstein condensates study physics community deeply attracted the attention of researchers. In the process of the formation of the BEC, it has two very important conditions, the first is to reduce the system temperature to below the critical temperature for a given density, followed by the particle density to improve the system so that the critical density exceeds a given temperature. In the process of the formation of BEC, we develop a variety of advanced technology and especially the use of laser capture and cool atoms, which is a major breakthrough in the history of BEC research, changing the focus of the first experimental study. With research and development of BEC, it promotes the people to understand the internal structure of atoms and an increase of atoms in a new understanding. With the further development of BEC, it created a lot of new technology to form a BEC, such as light association（PA） technique, followed Feshbach resonance auxiliary light associative techniques, Efimov resonance auxiliary light associative techniques and people use these technologies to create a lot of new molecules. Molecular BEC has broad application prospects in the coherent optical information storage, slow group velocity of light waves, quantum computing, nonlinear and quantum communication, quantum information processing and quantum atom optics. BEC formation has also opened up the field of super-chemical research, prepared a lot of chemical reactions can not rely solely on the creation of molecules, increasing the types of molecules.With the creation of new molecules and study,it opens a new door. BEC condensed matter has many uses, such as manufacturing atomic clock, the formation of slow light manufacturing quantum computers, which will promote the civilization of human society. BEC research is undergoing tremendous change, promoting social progress and development. In recent years, people prefer to use a Efimov-resonance assisted stimulated adiabatic passage to form BEC, for the formation of BEC provides more flexibility, and the conversion efficiency of the condensate formed greatly improved, but still it can not reach BEC formed commercial production requirements, so the commercial value is not very high. In this paper, the main contents include the reason for the formation of theory of BEC, BEC formation techniques, and introduces the Efimov condensed matter, and then describes the use of the generalized Efimov resonance dark forming molecules ⁴¹K₂⁸⁷Rb₂ from theoretical calculations, although study the dark state, there are two channels can form the moleculars⁴¹K₂⁸⁷Rb₂, so you can through a single-channel and dual-channel to form⁴¹K₂⁸⁷Rb₂(two channels at the same time to form⁴¹K₂⁸⁷Rb₂), in the course of the study, found that the number of the particles formed in the dual channel is far greater than the number of particles in a single channel formed. Finally, the number of particles is a little unbalanced which affects atom- molecule conversion rate, and found that when the number of atoms in a ratio of one to one, atomic and molecular conversion rate is the highest, but also found the program is extended to form a fermi heteronuclear tetramer.