Peres lattices and chaos in the Dicke model

8th International Symposium on Quantum Theory and Symmetries

Bastarrachea-Magnani, Miguel Angel^1 ; Hirsch, Jorge G.^1

Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543, México D. F., C.P. 04510, Mexico^1

关键词: Chaotic regions;    Coupling constants;    Critical value;    Diagonalizations;    Energy regions;    Energy spectra;    Numerical convergence;    Quantum phase transitions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/512/1/012004/pdf
DOI  :  10.1088/1742-6596/512/1/012004

来源: IOP

【 摘 要 】

Peres lattices are employed as a visual method to identify the presence of chaos in different regions of the energy spectra in the Dicke model. The coexistence of regular and chaotic regions can be clearly observed for certain energy regions, even if the coupling constant is smaller than the critical value to reach superradiance. It also exhibits the presence of two Excited-State Quantum Phase Transitions, a static and a dynamic one. The diagonalization is performed in a extended bosonic coherent basis which enable us to reach a large number of excited states with good numerical convergence.