论文标题
不对称量子狂犬模型中的隐藏对称和隧道动力学
Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
论文作者
论文摘要
非对称量子狂犬模型（AQRM）的$ \ mathbb {z} _2 $对称性，通常具有非分类特征值频谱。在某些特殊情况下，不对称参数是空腔频率的倍数，$ \ mathbb {z} _2 $ - 平衡量子兔模型的典型稳定水平交叉点已恢复，但是，没有任何明显的平等对称性。因此，这种未知的“对称性”被称为文献中的隐藏对称性。在这里，我们表明，这种隐藏的对称性不仅限于AQRM，而是存在于具有不对称量子偏置项的各种相关的光结合模型中。确定和讨论这些模型中隐藏对称性的条件。通过研究位移振荡器的隧道动力学，在隐藏的对称性和选择性隧道之间发现了牢固的联系。
The asymmetric quantum Rabi model (AQRM) has a broken $\mathbb{Z}_2$ symmetry, with generally a non-degenerate eigenvalue spectrum. In some special cases where the asymmetric parameter is a multiple of the cavity frequency, stable level crossings typical of the $\mathbb{Z}_2$-symmetric quantum Rabi model are recovered, however, without any obvious parity-like symmetry. This unknown "symmetry" has thus been referred to as hidden symmetry in the literature. Here we show that this hidden symmetry is not limited to the AQRM, but exists in various related light-matter interaction models with an asymmetric qubit bias term. Conditions under which the hidden symmetry exists in these models are determined and discussed. By investigating tunnelling dynamics in the displaced oscillator basis, a strong connection is found between the hidden symmetry and selective tunnelling.
