Quasienergy collapse in the driven Jaynes–Cummings–Rabi model: correspondence with a charged Dirac particle in an electromagnetic field
Quasienergy collapse in the driven Jaynes–Cummings–Rabi model: correspondence with a charged Dirac particle in an electromagnetic field
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驱动的 Jaynes-Cummings-Rabi 模型中的准能量塌缩：与电磁场中带电狄拉克粒子的对应
DOI：
10.1088/1402-4896/aad6fc
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发表时间：
2018
期刊：
影响因子：
2.9
通讯作者：
H. Carmichael
中科院分区：
文献类型：
--
作者：
R. Guti'errez;H. Carmichael
在驱动 Jaynes-Cummings (JC) 模型下演化的系统将在临界驱动场振幅下经历相变。这种转变是由系统准能级谱的崩溃所预示的，并且随着模型扩展以包括反向旋转相互作用而仍然存在。我们研究了这一临界响应，并通过给出 JC 模型和受外部电磁场影响的带电狄拉克粒子之间的对应关系来获得扩展模型的特征值和特征态。在这种对应关系下，构成 JC 模型的场和两级系统分别映射到描述狄拉克粒子的外部和内部自由度。然后，临界驱动器下方（上方）的系统阶段由离散（连续）解来表征，获得这些解所需的操作自然地表现为洛伦兹变换。
A system evolving under the driven Jaynes–Cummings (JC) model will undergo a phase transition at a critical driving field amplitude. This transition is foreshadowed by a collapse of the quasienergy level spectra of the system and remains present as the model is extended to include a counter-rotating interaction. We study this critical response and obtain the eigenvalues and eigenstates of the extended model by presenting a correspondence between the JC model and a charged Dirac particle subject to an external electromagnetic field. Under this correspondence, the field and two-level system that compose the JC model map to the external and internal degrees of freedom describing the Dirac particle, respectively. The phases of the system below (above) the critical drive are then characterized by discrete (continuous) solutions, with the manipulations required to obtain these solutions appearing naturally as Lorentz transformations.