Numerical approach for the evolution of spin-boson systems and its application to the Buck–Sukumar model |
| |
摘 要: | We study the evolution properties of spin-boson systems by a systematic numerical iteration approach, which performs well in the whole coupling regime. This approach evaluates a set of coefficients in the formal expression of the time-dependent Schr?dinger equation by expanding the initial state in Fock space. This set of coefficients is unique for the spin-boson Hamiltonian studied, allowing one to calculate the time evolution from different initial states. To complement our numerical calculations, we apply the method to the Buck–Sukumar model. We find that when the ground-state energy of the model is unbounded and no ground state exists in a certain parameter space, the time evolution of the physical quantities is naturally unstable.
|
收稿时间: | 2020-02-19 |
Numerical approach for the evolution of spin-boson systems and its application to the Buck-Sukumar model |
| |
Authors: | Xue-Ying Liu Xue-Zao Ren Chen Wang Xian-Long Gao Ke-Lin Wang |
| |
Institution: | 1.Department of Physics, Zhejiang Normal University, Jinhua 321004, China;2.School of Science, Southwest University of Science and Technology, Mianyang 621010, China;3.Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China |
| |
Abstract: | We study the evolution properties of spin-boson systems by a systematic numerical iteration approach, which performs well in the whole coupling regime. This approach evaluates a set of coefficients in the formal expression of the time-dependent Schrödinger equation by expanding the initial state in Fock space. This set of coefficients is unique for the spin-boson Hamiltonian studied, allowing one to calculate the time evolution from different initial states. To complement our numerical calculations, we apply the method to the Buck–Sukumar model. We find that when the ground-state energy of the model is unbounded and no ground state exists in a certain parameter space, the time evolution of the physical quantities is naturally unstable. |
| |
Keywords: | Buck–Sukumar model spin-boson systems light-atom coupling unbounded ground state time-dependent Schrödinger equation |
本文献已被 CNKI 万方数据 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|