论文标题
量子相变的模型hamiltonian表现出同时表现出的同时fermion-pair和激子冷凝
Quantum Phase Transitions in a Model Hamiltonian Exhibiting Entangled Simultaneous Fermion-Pair and Exciton Condensations
论文作者
论文摘要
一种新型的玻色网凝结物的量子状态，其中同时存在fermion-pair-pair和激子凝结，在理论上是在模型的哈密顿系统中实现的。在这里，我们基于对基于对地面2粒子降低密度矩阵（2-RDMS）凸的凸组的几何分析（2-RDM）的几何分析在Fermion-Pair和激子凝结之间的量子相变。 2-RDM集合提供了汉密尔顿人的无限参数空间的有限表示，很容易揭示费米昂的冷凝水相和两个不同的激子冷凝水相，以及随着系统粒子数量的增加，一阶和二阶相变的出现。此外，该集合表明，fermion-exciton冷凝物（FEC）位于激子和费米昂冷凝水相之间的二阶相变。有关激子和费米对阶段的详细信息，这些阶段背后的力以及它们相关的过渡提供了对FEC凝结物形成的更多见解，我们预计这将证明这将在其实验性实现中有用。
Quantum states of a novel Bose-Einstein condensate, in which both fermion-pair and exciton condensations are simultaneously present, have recently been realized theoretically in a model Hamiltonian system. Here we identify quantum phase transitions in that model between fermion-pair and exciton condensations based on a geometric analysis of the convex set of ground-state 2-particle reduced density matrices (2-RDMs). The 2-RDM set provides a finite representation of the infinite parameter space of Hamiltonians that readily reveals a fermion-pair condensate phase and two distinct exciton condensate phases, as well as the emergence of first- and second-order phase transitions as the particle number of the system is increased. The set, furthermore, shows that the fermion-exciton condensate (FEC) lies along the second-order phase transition between the exciton and fermion-pair condensate phases. The detailed information about the exciton and fermion-pair phases, the forces behind these phase, as well as their associated transitions provides additional insight into the formation of the FEC condensate, which we anticipate will prove useful in its experimental realization.
