论文标题
被困的骨气混合物的破碎
Fragmentation of a trapped bosonic mixture
论文作者
论文摘要
使用精确溶解的模型(混合物的通用谐波相互作用模型)分析研究了玻色子和对的碎片。获得和分析。作为应用程序,我们考虑了一个由$ n_1 = 100 $非相互作用物种制成的系统$ 1 $玻色子,该系统嵌入了由$ n_2 = 10^6 $非相互作用的物种制成的浴缸中,$ 2 $ 2 $玻色子,并显示系统的玻色子和成对的碎片仅在系统互动中出现。有趣的是,包含浴缸的玻色子越轻的是系统的碎片化。简要讨论了进一步的申请。
Fragmentation of bosons and pairs in a trapped imbalanced bosonic mixture is investigated analytically using an exactly solvable model, the generic harmonic-interaction model for mixtures. Closed-form expressions for the eigenvalues and eigenfunctions of the reduced one-particle and two-particle density matrices as a function of all parameters, the masses, numbers of bosons, and the intraspecies and interspecies interactions, are obtained and analyzed. As an application, we consider a system made of $N_1=100$ non-interacting species $1$ bosons embedded in a bath made of $N_2=10^6$ non-interacting species $2$ bosons, and show how fragmentation of the system's bosons and pairs emerges from the system--bath interaction only. Interestingly, the lighter the bosons comprising the bath are the stronger is the system's fragmentation. Further applications are briefly discussed.