Characterizing Superradiant Phase of the Quantum Rabi Model

作     者：杨贇彤 罗洪刚 Yun-Tong Yang;Hong-Gang Luo

作者机构：School of Physical Science and TechnologyLanzhou UniversityLanzhou 730000China Lanzhou Center for Theoretical Physics&Key Laboratory of Theoretical Physics of Gansu ProvinceLanzhou UniversityLanzhou 730000China Beijing Computational Science Research CenterBeijing 100084China 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2023年第40卷第2期

页      面：15-20页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：supported by the National Key Research and Development Program of China(Grant No.2022YFA1402704) the National Natural Science Foundation of China(Grant Nos.11834005,12047501,and 12247101) 

主　　题：excited simplicity unitary 

摘      要：Recently,a superradiant phase transition first predicted theoretically in the quantum Rabi model(QRM)has been verified *** further stimulates the interest in the study of the process of phase transition and the nature of the superradiant phase since the fundamental role of the QRM in describing the interaction of light and matter,and more importantly,the QRM contains rich physics deserving further exploration despite its *** we propose a scheme consisting of two successive diagonalizations to accurately obtain the ground-state and excited states wavefunctions of the QRM in full parameter regime ranging from weak to deepstrong ***,one is able to see how the phase transition occurs and how the photons populate in Fock space of the superradiant *** characterize the photon populations by borrowing the distribution concept in random matrix theory and find that the photon population follows a Poissonian-like distribution once the phase transition takes place and further exhibits the statistics of Gaussian unitary ensemble with increasing coupling *** interestingly,the photons in the excited states behave even like the statistics of Gaussian orthogonal *** results not only deepen understanding on the superradiant phase transition but also provide an insight on the nature of the superradiant phase of the QRM and related models.