Quantum correlation effects and Bose-Einstein condensation in molecular formations in the ultra-cold atomic gases

a）在具有分子结构的超冷原子气体中，计算了各种量子统计关联（原子-气体混合物的玻色-玻色、费米-费米、玻色-费米系统）的相结构变化及其温度依赖性。在平均场近似下引入了原子-原子和原子-分子相互作用，阐明了它们对玻色原子/分子的分子形成和玻色-爱因斯坦凝聚的影响。特别是，在强吸引相互作用的情况下，已经发现出现了在理想气体系统中不存在的新相。在玻色-玻色混合物中，我们证明了原子/分子玻色-爱因斯坦凝聚是由相变到玻色-爱因斯坦凝聚的奇异性效应引起的.我们还建立了超冷原子气体中分子形成的量子质量作用定律，它是经典的量子质量作用定律的推广。 ...更多信息 化学反应理论中的质量作用定律，并评估了超冷分子形成中的量子统计效应。B）在超冷原子气体处于谐振子势的情况下，也得到了相结构及其与分子形成的温度关系。我们应用这种方法，在含时Gross-Pitaevski方程和Vlasov方程的基础上，计算了Yb-Yb原子-气体系统中玻色-费米原子-气体混合物的时间演化，并计算了振荡激发模。几个实验小组计划对Yb-Yb系统进行超冷原子-气体实验，并在不久的将来对我们的结果进行检验。我们总结了我们的结果的论文现在正在编写中。少

a) In ultra-cold atomic gases with molecular formations, the phase-structure changes and their temperature dependences have been calculated for all kinds of quantum-statistical correlations (Bose-Bose, Fermi-Fermi, Bose-Fermi systems of atomic-gas mixtures). The atom-atom and atom-molecule interactions have been introduced using the mean-field approximations; their effect on the molecular formations and Bose-Einstein condensation of the Bosonic atom/molecule has been clarified. Especially, in the case of strongly attractive interactions, the new phases that do not exist in the system of the ideal gases have been found to appear. In Bose-Bose mixtures, we have shown that the atom/molecule Bose-Einstein condensation appears in exclusive manner by the singularity effect coming from the phase transitions into the Bose-Einstein condensation. We also have formulated the law of quantum mass action for molecular formations in the ultra-cold atomic gas, which is the extension of the classical l … More aw of mass action in chemical reaction theory, and evaluated the quantum-statistical effects in the ultra-cold molecular formations. We have summarized these results and published them in Physical Review journals.b) The phase structures and their temperature dependences with molecular formations have been obtained also in the case of ultra-cold atomic gases trapped in the harmonic-oscillator potentials. The finite-size effects for molecular formations in the trapped atomic gasses are now under analysis, and should be published.c) We have applied the method to obtain the time-development of Bose-Fermi atomic-gas mixtures on the basis of the time-dependent Gross-Pitaevski and Vlasov equations, for the Yb-Yb atomic-gas system ; the oscillational excitation modes have been evaluated. The ultra-cold atomic-gas experiments is planned for the Yb-Yb system by several experimentalist groups, and, then, our results should be checked in near future. The papers where we have summarized our results are now in preparation. Less