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

在微观理论的基础上，对有限玻色-费米混合凝聚体进行了理论研究，阐明了玻色-费米混合凝聚体中玻色子与费米子之间的相互作用所引起的动力学性质。A）无规相近似（RPA）下有限玻色-费米混合凝聚体的微观研究：我们编制了RPA下有限混合体的计算机程序，并对有限混合体的激发态进行了计算。从这些结果中，我们阐明了宏观计算结果的适用性，同时也了解了由吸引相互作用引起的不稳定性的详细结构。在强排斥相互作用下，有限混合凝聚体被提出了一种新的壳结构，在这种壳结构中，费米子被推出并分布在玻色子之外。本文将RPA方法应用于壳层结构凝聚体，发现了一种新的现象--壳层结构凝聚体中的振荡-转动相变。 ...更多信息 单粒子费米能级我们还将我们的方法应用到准一维混合凝聚体中，研究了激发谱中的Kohn反常，它导致了凝聚体的电荷密度波产生的不稳定性。我们研究了准一维混合凝聚体中电荷密度波态和自旋密度波态的可能性和结构。B）有限玻色-费米混合凝聚体时间发展的模拟：我们开发并实现了模拟混合凝聚体时间发展的计算机程序。C）分子的形成和量子质量作用定律：由玻色子和费米子估算了混合凝聚体中复合费米子（分子）的结合能。将化学平衡理论中的质量作用定律推广到具有量子统计效应的质量作用定律（量子质量作用定律），并将其应用于混合凝聚体中的分子形成过程。D）所得结果在物理学其它领域的应用：作为本研究的应用，我们研究了其它系统--正电子偶素和夸克多体系统中的凝聚现象。这些研究还包括物理学各个领域的新方面。少

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