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Hidden symmetry operators for asymmetric generalized quantum Rabi models
Authors:Xilin Lu  Zi-Min Li  Vladimir V Mangazeev  Murray T Batchelor
Affiliation:1.Department of Theoretical Physics, Research School of Physics, Australian National University, Canberra ACT 2601, Australia;2.Mathematical Sciences Institute, Australian National University, Canberra ACT 2601, Australia;3.Centre for Modern Physics, Chongqing University, Chongqing 40444, China
Abstract:The hidden $mathbb{Z}_2$ symmetry of the asymmetric quantum Rabi model (AQRM) has recently been revealed via a systematic construction of the underlying symmetry operator. Based on the AQRM result, we propose an ansatz for the general form of the symmetry operators for AQRM-related models. Applying this ansatz we obtain the symmetry operator for three models: the anisotropic AQRM, the asymmetric Rabi--Stark model (ARSM), and the anisotropic ARSM.
Keywords:light-matter interaction  hidden symmetry  asymmetric quantum Rabi model  asymmetric Rabi-Stark model  
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