Universidade Federal do Piauí, Campus Profa. Cinobelina Elvas, Bom Jesus, PI, Brazil.
Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil.
Phys Rev E. 2017 Dec;96(6-1):062146. doi: 10.1103/PhysRevE.96.062146. Epub 2017 Dec 28.
In this work we study an effective three-mode model describing interacting bosons. These bosons can be considered as exciton-polaritons in a semiconductor microcavity at the magic angle. This model exhibits quantum phase transition (QPT) when the parameters of the corresponding Hamiltonian are continuously varied. The properties of the Hamiltonian spectrum (e.g., the distance between two adjacent energy levels) and the phase space structure of the thermodynamic limit of the model are used to indicate QPT. The relation between spectral properties of the Hamiltonian and the corresponding classical frame of the thermodynamic limit of the model is established as indicative of QPT. The average number of bosons in a specific mode and the entanglement properties of the ground state as functions of the parameters are used to characterize the order of the transition and also to construct a phase diagram. Finally, we verify our results for experimental data obtained for a setting of exciton-polaritons in a semiconductor microcavity.
在这项工作中，我们研究了一个有效的三模模型，用于描述相互作用的玻色子。这些玻色子可以被视为半导体微腔中魔角的激子极化激元。当相应哈密顿量的参数连续变化时，该模型表现出量子相变（QPT）。哈密顿量谱的性质（例如，两个相邻能级之间的距离）和模型的热力学极限的相空间结构用于指示 QPT。建立了哈密顿量的谱性质与模型的热力学极限的相应经典框架之间的关系，作为 QPT 的指示。作为相变顺序的特征，并构建相图，我们还将特定模式中玻色子的平均数量和基态的纠缠性质作为参数的函数进行了研究。最后，我们验证了我们对半导体微腔中激子极化激元实验数据的结果。
