一维三分量吸引超冷费米子的Phase Diagrams
Phase Diagrams of Three-Component Attractive Ultracold Fermions in One-Dimension
摘要：
利用Bethe近似和Dressed能量理论研究了外场中一维SU（3）吸引费米子的三重态、成对态和量子相变.分析结果的基态能量，临界场和完整的相图的弱和强的制度。的穿着能量方程的数值解，使我们能够研究如何不同的相边界修改通过改变整个有吸引力的制度的组件间的耦合。纯三电子相通过减少这种耦合平滑地减少，直到达到弱极限。在这种弱的制度下，一个纯BCS配对相位可以维持在一定的非线性塞曼分裂。最后，我们确认，物理量的解析表达式和由此产生的相图是高度精确的弱耦合和强耦合制度。
英文摘要：
We investigate trions, paired states and quantum phase transitions in one-dimensional SU(3) attractive fermions in external fields by means of the Bethe ansatz and the dressed energy formalism. Analytical results for the ground state energy, critical fields and complete phase diagrams are presented for weak and strong regimes. Numerical solutions of the dressed energy equations allow us to examine how the different phase boundaries modify by varying the inter-component coupling throughout the whole attractive regimes. The pure trionic phase reduces smoothly by decreasing this coupling until the weak limit is reached. In this weak regime, a pure BCS-paired phase can be sustained under certain nonlinear Zeeman splittings. Finally we confirm that the analytic expressions for the physical quantities and resulting phase diagrams are highly accurate in the weak and strong coupling regimes.
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