Integrability of the Rabi Model
Integrability of the Rabi Model
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DOI：
10.1103/physrevlett.107.100401
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发表时间：
2011-08-29
影响因子：
8.6
通讯作者：
Braak, D.
中科院分区：
文献类型：
--
作者：
Braak, D.
拉比模型是相互作用量子系统的范例。它将玻色子模式与尽可能小的量子模型（两能级系统）耦合。我提出的解析解使我们能够考虑不具有经典极限的量子系统的可积性问题。提出了量子可积性准则，表明拉比模型由于离散对称性的存在而可积。此外，我引入了一种没有对称性的概括；广义拉比模型是不可积但完全可解系统的第一个例子。
The Rabi model is a paradigm for interacting quantum systems. It couples a bosonic mode to the smallest possible quantum model, a two-level system. I present the analytical solution which allows us to consider the question of integrability for quantum systems that do not possess a classical limit. A criterion for quantum integrability is proposed which shows that the Rabi model is integrable due to the presence of a discrete symmetry. Moreover, I introduce a generalization with no symmetries; the generalized Rabi model is the first example of a nonintegrable but exactly solvable system.