论文标题
不对称量子狂犬模型的隐藏对称性
The hidden symmetry of the asymmetric quantum Rabi model
论文作者
论文摘要
非对称量子狂犬模型(AQRM)在特征光谱中表现出级别的交叉点,用于\ frac {1} {1} {2} {2} \ mathbb {z} $的值$ε\ in bias参数$ $ε$。预计这种水平的交叉将与模型的一些隐藏对称性相关联。通过找到与AQRM Hamiltonian在这些特殊价值观上通勤的操作员,建立了这种隐藏对称性的起源。在前几种情况下,明确给出了该结构,可以应用于其他相关的光 - 互动模型,在存在偏置项的情况下,已经观察到了相似的级别交叉点。
The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $ε\in\frac{1}{2}\mathbb{Z}$ of the bias parameter $ε$. Such level crossings are expected to be associated with some hidden symmetry of the model. The origin of this hidden symmetry is established by finding the operators which commute with the AQRM hamiltonian at these special values. The construction is given explicitly for the first several cases and can be applied to other related light-matter interaction models for which similar level crossings have been observed in the presence of a bias term.