Dynamics of Atomic-Gas Bose-Einstein Condensates of Bose-Fermi Mixture

玻色-费米混合物的原子气玻色-爱因斯坦凝聚态动力学

基本信息

批准号：
14540380
负责人：
YABU Hiroyuki
金额：
$ 1.66万
依托单位：
Tokyo Metropolitan University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2004
项目状态：
已结题

项目摘要

Theoretical studies have been done on finite Bose-Fermi mixed condensates on the basis of the microscopic theory, and their dynamics caused by the interatomic interaction between the boson and the fermion have been clarified.A) Microscopic studies of finite Bose-Fermi mixed condensates in random phase approximation (RPA):We have formulated and developed computer programs for finite mixtures in the RPA, Which have been performed to evaluated the excited levels of the finite mixtures. From the results, we clarified the applicability of the results obtained by macroscopic calculations, And also understood the detailed structure of the instability caused by the attractive interactions. In strong repulsive interaction, the novel shell structure has been suggested for the finite mixed condensates, where fermions are pushed out and distribute outside bosons. We applied the RPA calculation to the shell-structured condensates and found a new phenomenon-the oscillational-rotational transition in … More the one-particle fermionic levels. We also applied our method to the quasi-one-dimensional mixed condensates and studied the Kohn anomaly In the excitation spectrum, which leads to the instability of the condensates for charge-density wave creation. We studied the possibility and structures of the charge-density and spin-density wave states in quasi-one-dimensional mixed condensates.B) Simulations for time-developments of finite Bose-Fermi mixed condensates:We developed and performed the computer programs that simulate the time-developments of the mixed condensates. Using them, we studied the monopole oscillation of the mixed condensates.C) Molecular formation and Law of quantum mass action:We estimated the binding energy of the composite fermion (molecule) from boson and fermion in the mixed condensates. We extended the law of mass action used in chemical equilibrium theory into that with the quantum statistical effects (law of quantum mass action), which was applied to the molecular formation process in the mixed condensates. Using this method, we clarified the phase structure of the condensates under the equilibrium with molecules.D) Applications of the obtained results to other areas of physics:As applications of the present research, we studied the condensation phenomena in other system-positronium and quark many-body system. These researches also include new aspects in each area of physics. Less

已经根据微观理论进行了有关有限的玻璃纤维混合冷凝物的理论研究，并且已经阐明了玻色子与费米之间的原子间相互作用引起的动态。A）有限的bose-bose-Fermi混合细分以在随机相位近似程序中进行的有限混合程序（RPA）的微观研究：我们已经形成了有限的混合程序：我们已经形成了有限的混合程序，并且已经形成了限制性的混合。评估有限混合物的令人兴奋的水平。从结果来看，我们将通过宏观计算获得的结果的适用性抛弃了，并且还了解了由有吸引力的相互作用引起的不稳定性的详细结构。在强烈的排斥相互作用中，已经提出了新型的壳结构，用于有限的混合冷凝物，在该冷凝物中，将费米子推出并分布在玻色子之外。我们将RPA计算应用于壳结构的冷凝物，并在…更多的一个颗粒效率水平中发现了一种新现象 - 振荡旋转转变。我们还将方法应用于准二维混合冷凝物，并研究了兴奋光谱中的Kohn异常，从而导致冷凝物的不稳定性，以产生电荷密度波的产生。我们研究了准确的混合冷凝物中电荷密度和旋转密度波状态的可能性和结构。B）模拟有限的玻色纤维混合冷凝物的时间开发：我们开发并执行了计算机程序，并执行了模拟混合冷凝物的时间开发的计算机程序。使用它们，我们研究了混合冷凝物的单极振荡。C）分子形成和量子质量作用定律：我们估计了混合冷凝物中玻色子和费米的复合材料费米（分子）的结合能。我们将化学平衡理论中使用的质量作用定律扩展到了量子统计效应（量子质量作用定律），该定律应用于混合冷凝物中的分子形成过程。使用这种方法，我们阐明了与分子平衡下的冷凝物的相结构。d）所获得的结果在其他物理学领域的应用：作为本研究的应用，我们研究了其他系统positronium和Quark多体系统中的冷凝现象。这些研究还包括每个物理领域的新方面。较少的