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Hidden symmetry operators for asymmetric generalized quantum Rabi models |
| Xilin Lu1, Zi-Min Li1, Vladimir V Mangazeev1, and Murray T Batchelor,2,3,† |
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 |
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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.
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Received: 10 May 2021
Revised: 12 August 2021
Accepted manuscript online: 06 September 2021
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PACS:
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42.50.Pq
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(Cavity quantum electrodynamics; micromasers)
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32.60.+i
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(Zeeman and Stark effects)
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11.30.-j
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(Symmetry and conservation laws)
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| Fund: Project supported by the Australian Research Council (Grant Nos. DP170104934 and DP180101040). |
Corresponding Authors:
Murray T Batchelor
E-mail: murray.batchelor@anu.edu.au
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Cite this article:
Xilin Lu, Zi-Min Li, Vladimir V Mangazeev, and Murray T Batchelor Hidden symmetry operators for asymmetric generalized quantum Rabi models 2022 Chin. Phys. B 31 014210
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