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

基于微观理论对有限玻色-费米混合凝聚态进行了理论研究，阐明了玻色子与费米子原子间相互作用引起的动力学。A)有限玻色-费米混合凝聚态的微观研究随机相位近似（RPA）：我们在 RPA 中制定和开发了有限混合物的计算机程序，用于评估有限混合物的激发水平从结果中，我们阐明了宏观计算结果的适用性，并且还了解了在强排斥相互作用中引起的不稳定性的详细结构，针对有限混合凝聚体提出了新颖的壳结构。，其中费米子被推出并分布在玻色子之外。我们将 RPA 计算应用于壳结构凝聚态，发现了一种新现象——振荡-旋转转变。我们还将我们的方法应用于准一维混合凝聚态，并研究了激发光谱中的科恩反常，这导致了凝聚态电荷密度波产生的不稳定性。准一维混合凝聚体中电荷密度和自旋密度波态的结构。B) 有限玻色-费米混合的时间发展模拟凝聚态：我们开发并执行了模拟混合凝聚态的时间发展的计算机程序，利用它们，我们研究了混合凝聚态的单极振荡。C）分子形成和量子质量作用定律：我们估计了结合能。混合凝聚体中玻色子和费米子的复合费米子（分子）我们将化学平衡理论中使用的质量作用定律扩展到量子统计效应（量子质量定律）。作用），并将其应用于混合凝聚体中的分子形成过程，利用该方法，我们阐明了分子平衡下凝聚体的相结构。D）所得结果在物理其他领域的应用：作为目前的研究，我们研究了其他系统——正电子和夸克多体系统中的凝聚现象，这些研究也包括了物理学各个领域的新内容。