Hidden symmetry operators for asymmetric generalized quantum Rabi models

doi:10.1088/1674-1056/ac20c2

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 14210-014210.doi: 10.1088/1674-1056/ac20c2

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

收稿日期:2021-05-10 修回日期:2021-08-12 接受日期:2021-09-06 出版日期:2021-12-03 发布日期:2021-12-18
通讯作者: Murray T Batchelor E-mail:murray.batchelor@anu.edu.au
基金资助:
Project supported by the Australian Research Council (Grant Nos. DP170104934 and DP180101040).

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

Received:2021-05-10 Revised:2021-08-12 Accepted:2021-09-06 Online:2021-12-03 Published:2021-12-18
Contact: Murray T Batchelor E-mail:murray.batchelor@anu.edu.au
Supported by:
Project supported by the Australian Research Council (Grant Nos. DP170104934 and DP180101040).

摘要/Abstract

摘要： 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.

关键词: light-matter interaction, hidden symmetry, asymmetric quantum Rabi model, asymmetric Rabi-Stark model

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.

Key words: light-matter interaction, hidden symmetry, asymmetric quantum Rabi model, asymmetric Rabi-Stark model

中图分类号: (Cavity quantum electrodynamics; micromasers)

42.50.Pq

32.60.+i (Zeeman and Stark effects) 11.30.-j (Symmetry and conservation laws)

Xilin Lu, Zi-Min Li, Vladimir V Mangazeev, and Murray T Batchelor. Hidden symmetry operators for asymmetric generalized quantum Rabi models[J]. 中国物理B, 2022, 31(1): 14210-014210.

Xilin Lu, Zi-Min Li, Vladimir V Mangazeev, and Murray T Batchelor. Hidden symmetry operators for asymmetric generalized quantum Rabi models[J]. Chin. Phys. B, 2022, 31(1): 14210-014210.

参考文献

[1] Xie Q, Zhong H, Batchelor M T and Lee C 2017 J. Phys. A: Math. Theor. 50 113001
[2] Braak D 2019 Symmetry 11 1259
[3] Kockum A F, Miranowicz A, Liberato S D, Savasta S and Nori F 2019 Nat. Rev. Phys. 1 19
[4] Forn-Díaz P, Lamata L, Rico E, Kono J and Solano E 2019 Rev. Mod. Phys. 91 025005
[5] Blais A, Grimsmo A L, Girvin S M and Wallraff A 2021 Rev. Mod. Phys. 93 025005
[6] Braak D 2011 Phys. Rev. Lett. 107 100401
[7] Chen Q H, Wang C, He S, Liu T and Wang K L 2012 Phys. Rev. A 86 023822
[8] Zhong H, Xie Q, Guan X, Batchelor M T, Gao K and Lee C 2014 J. Phys. A: Math. Theor. 47 045301
[9] Maciejewski A J, Przybylska M and Stachowiak T 2014 Phys. Lett. A 378 3445
[10] Li Z M and Batchelor M T 2015 J. Phys. A: Math. Theor. 48 454005
[11] Wakayama M 2017 J. Phys. A: Math. Theor. 50 174001
[12] Li Z M and Batchelor M T 2021 Phys. Rev. A 103 023719
[13] Tomka M, El Araby O, Pletyukhov M and Gritsev V 2014 Phys. Rev. A 90 063839
[14] Xie Q T, Cui S, Cao J P, Amico L and Fan H 2014 Phys. Rev. X 4 021046
[15] Chen X Y, Duan L, Braak D and Chen Q H 2021 Phys. Rev. A 103 043708
[16] Eckle H P and Johannesson H 2017 J. Phys. A: Math. Theor. 50 294004
[17] Xie Y F, Duan L and Chen Q H 2019 J. Phys. A: Math. Theor. 52 245304
[18] Ashhab S 2020 Phys. Rev. A 101 023808
[19] Mangazeev V V, Batchelor M T and Bazhanov V V 2021 J. Phys. A: Math. Theor. 54 12LT01
[20] Reyes-Bustos C, Braak D and Wakayama M 2021 J. Phys. A: Math. Theor. 54 285202
[21] Grimsmo A L and Parkins S 2013 Phys. Rev. A 87 033814
[22] Cong L, Felicetti S, Casanova J, Lamata L, Solano E and Arrazola I 2020 Phys. Rev. A 101 032350
[23] Xie Y F, Chen X Y, Dong X F and Chen Q H Phys. Rev. A 101 053803
[24] Reyes-Bustos and Wakayama M arXiv: 2106.08916
[25] Lu X, Li Z M, Mangazeev V V and Batchelor M T 2021 J. Phys. A: Math. Theor. 54 325202
[26] Xie Y F and Chen Q H 2021 Phys. Rev. Research 3 033057
[27] Xie Y F and Chen Q H arXiv: 2107.08937

Hidden symmetry operators for asymmetric generalized quantum Rabi models

Hidden symmetry operators for asymmetric generalized quantum Rabi models

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