Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model

doi:10.1088/1674-1056/ae111f

中国物理B ›› 2026, Vol. 35 ›› Issue (1): 10304-010304.doi: 10.1088/1674-1056/ae111f

Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model

Qi-Cheng Wu(吴奇成)^1,†,‡, Yu-Liang Fang(方玉亮)^1,†, Yan-Hui Zhou(周彦辉)¹, Jun-Long Zhao(赵军龙)¹, Yi-Hao Kang(康逸豪)², Qi-Ping Su(苏奇平)², and Chui-Ping Yang(杨垂平)^2,§

1 Quantum Information Research Center and Jiangxi Province Key Laboratory of Applied Optical Technology, Shangrao Normal University, Shangrao 334001, China;
2 School of Physics, Hangzhou Normal University, Hangzhou 311121, China

收稿日期:2025-09-09 修回日期:2025-09-30 接受日期:2025-10-09 发布日期:2025-12-29
通讯作者: Qi-Cheng Wu, Chui-Ping Yang E-mail:wuqi.cheng@163.com;yangcp@hznu.edu.cn
基金资助:
This project was supported by the National Key Research and Development Program of China (Grant No. 2024YFA1408900), the National Natural Science Foundation of China (Grant Nos. 12264040, 12374333, and U21A20436), the Jiangxi Natural Science Foundation (Grant Nos. 20232BCJ23022 and 20252BAC240119), the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0301705), and the Jiangxi Province Key Laboratory of Applied Optical Technology (Grant No. 2024SSY03051).

Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model

1 Quantum Information Research Center and Jiangxi Province Key Laboratory of Applied Optical Technology, Shangrao Normal University, Shangrao 334001, China;
2 School of Physics, Hangzhou Normal University, Hangzhou 311121, China

Received:2025-09-09 Revised:2025-09-30 Accepted:2025-10-09 Published:2025-12-29
Contact: Qi-Cheng Wu, Chui-Ping Yang E-mail:wuqi.cheng@163.com;yangcp@hznu.edu.cn
Supported by:
This project was supported by the National Key Research and Development Program of China (Grant No. 2024YFA1408900), the National Natural Science Foundation of China (Grant Nos. 12264040, 12374333, and U21A20436), the Jiangxi Natural Science Foundation (Grant Nos. 20232BCJ23022 and 20252BAC240119), the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0301705), and the Jiangxi Province Key Laboratory of Applied Optical Technology (Grant No. 2024SSY03051).

摘要/Abstract

摘要： Realizing efficient and controlled state transfers is necessary for implementing a wide range of classical and quantum information protocols. Recent studies have demonstrated that both asymmetric and symmetric state transfers can be achieved by encircling an exceptional point (EP) in non-Hermitian (NH) systems. However, the application of this phenomenon has been restricted to scenarios where an EP exists in single-qubit systems and is associated with a specific type of dissipation. In this work, we demonstrate efficient and controlled symmetric and asymmetric Bell-state transfers by modulating system parameters within a Jaynes-Cummings model while accounting for atomic spontaneous emission and cavity decay. The effective suppression of nonadiabatic transitions enables a symmetric exchange of Bell states irrespective of the encircling direction. Furthermore, we report a counterintuitive finding: the presence of an EP is not indispensable for implementing asymmetric state transfers in NH systems. We achieve perfect asymmetric Bell-state transfers even in the absence of an EP by dynamically orbiting around an approximate EP. Our work presents an approach to effectively and reliably manipulate entangled states with both symmetric and asymmetric characteristics, through dissipation engineering in NH systems.

关键词: exceptional points, adiabatic Bell-state transfer, chiral Bell-state transfer, Jaynes-Cummings model

Abstract: Realizing efficient and controlled state transfers is necessary for implementing a wide range of classical and quantum information protocols. Recent studies have demonstrated that both asymmetric and symmetric state transfers can be achieved by encircling an exceptional point (EP) in non-Hermitian (NH) systems. However, the application of this phenomenon has been restricted to scenarios where an EP exists in single-qubit systems and is associated with a specific type of dissipation. In this work, we demonstrate efficient and controlled symmetric and asymmetric Bell-state transfers by modulating system parameters within a Jaynes-Cummings model while accounting for atomic spontaneous emission and cavity decay. The effective suppression of nonadiabatic transitions enables a symmetric exchange of Bell states irrespective of the encircling direction. Furthermore, we report a counterintuitive finding: the presence of an EP is not indispensable for implementing asymmetric state transfers in NH systems. We achieve perfect asymmetric Bell-state transfers even in the absence of an EP by dynamically orbiting around an approximate EP. Our work presents an approach to effectively and reliably manipulate entangled states with both symmetric and asymmetric characteristics, through dissipation engineering in NH systems.

Key words: exceptional points, adiabatic Bell-state transfer, chiral Bell-state transfer, Jaynes-Cummings model

中图分类号: (Quantum information)

03.67.-a

42.50.Dv (Quantum state engineering and measurements) 74.40.Kb (Quantum critical phenomena)

Qi-Cheng Wu(吴奇成), Yu-Liang Fang(方玉亮), Yan-Hui Zhou(周彦辉), Jun-Long Zhao(赵军龙), Yi-Hao Kang(康逸豪), Qi-Ping Su(苏奇平), and Chui-Ping Yang(杨垂平). Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model[J]. 中国物理B, 2026, 35(1): 10304-010304.

参考文献

[1] Feng L, El-Ganainy R and Ge L 2017 Nat. Photon. 11 752
[2] Ozdemir S, Rotter S, Nori F and Yang L 2019 Nat. Mater. 18 783
[3] Heiss W D 2000 Phys. Rev. E 61 929
[4] Cartarius H, Main J and Wunner G 2007 Phys. Rev. Lett. 99 173003
[5] Zhang G Q and You J Q 2019 Phys. Rev. B 99 054404
[6] Zhang G Q, Chen Z, Xu D, Shammah N, Liao M, Li T F, Tong L M, Zhu S Y, Nori F and You J Q 2021 PRX Quantum 2 020307
[7] Peng B, Ozdemir S K, Lei F, Monifi F, Gianfreda M, Long G L, Fan S, Nori F, Bender C M and Yang L 2014 Nat. Phys. 10 394
[8] Kato T 1995 Perturbation Theory for Linear Operators (Berlin: Springer)
[9] Ashida Y, Gong Z and Ueda M 2020 Adv. Phys. 69 249
[10] Wu Q C, Zhao J L, Fang Y L, Zhang Y, Chen D X, Yang C P and Nori F 2023 Sci. China-Phys. Mech. Astron. 66 240312
[11] Zhang S M, He T Y and Jin L 2024 Chin. Phys. Lett. 41 027201
[12] Liu C, Lan J, Gu Z M and Zhu J 2023 Chin. Phys. Lett. 40 124301
[13] Zhang Y X, Zhang Z T, Yang Z S, Wei X Z and Liang B L 2024 Chin. Phys. B 33 060308
[14] Chen W, Abbasi M, Ha B, Erdamar S, Joglekar Y N and Murch K W 2022 Phys. Rev. Lett. 128 110402
[15] Hodaei H, Hassan A U, Wittek S, Garcia-Gracia H, El-Ganainy R, Christodoulides D N and Khajavikhan M 2017 Nature 548 187
[16] Wu Q C, Zhou Y H, Liu T, Kang Y H, Su Q P and Yang C P 2025 Chin. J. Phys. 98 1116
[17] Liu Z P, Zhang J, Ozdemir S K, Peng B, Jing H, L u X Y, Li C W, Yang L and Liu Y X 2016 Phys. Rev. Lett. 117 110802
[18] Lin Z, Ramezani H, Eichelkraut T, Kottos T, Cao H and Christodoulides D N 2011 Phys. Rev. Lett. 106 213901
[19] Guo A, Salamo G J, Duchesne D, Morandotti R, Volatier-Ravat M, Aimez V, Siviloglou G A and Christodoulides D N 2009 Phys. Rev. Lett. 103 093902
[20] Bergholtz E J, Budich J C and Kunst F K 2021 Rev. Mod. Phys. 93 015005
[21] Guria C, Zhong Q, Ozdemir S K, Patil Y S S, El-Ganainy R and Harris J G E 2024 Nat. Commun. 15 1369
[22] Arkhipov I I, Miranowicz A, Minganti F, Ozdemir S and Nori F 2024 Phys. Rev. Lett. 133 113802
[23] Wu Q C, Zhao J L, Zhou Y H, Ye B L, Fang Y L, Zhou Z W and Yang C P 2025 Phys. Rev. A 111 022410
[24] Khandelwal S, Chen W J, Murch K W and Haack G 2024 Phys. Rev. Lett. 133 070403
[25] Berry M V 2011 J. Opt. 13 115701
[26] Xu H, Mason D, Jiang L and Harris J G E 2016 Nature 537 80
[27] Li A, Dong J, Wang J, Cheng Z, Ho J S, Zhang D, Wen J, Zhang X L, Chan C T, Alu A, Qiu C W and Chen L 2020 Phys. Rev. Lett. 125 187403
[28] Feilhauer J, Schumer A, Doppler J, Mailybaev A A, Bohm J, Kuhl U, Moiseyev N and Rotter S 2020 Phys. Rev. A 102 040201
[29] Ergoktas M S, Soleymani S, Kakenov N, Wang K, Smith T B, Bakan G, Balci S, Principi A, Novoselov K S, Ozdemir S K and Kocabas C 2022 Science 376 184
[30] Arkhipov I I, Miranowicz A, Minganti F, Ozdemir S and Nori F 2023 Nat. Commun. 14 2076
[31] Hassan A U, Galmiche G L, Harari G and LiKamWa P 2017 Phys. Rev. A 96 052129
[32] Tang Z, Chen T and Zhang X 2023 Laser Photonics Rev. 18 2300794
[33] Hassan A U, Zhen B, Soljacic M, Khajavikhan M and Christodoulides D N 2017 Phys. Rev. Lett. 118 093002
[34] Tang X, Chen T and Zhang X D 2025 Phys. Rev. Research 7 013159
[35] Zhang X L, Jiang T and Chan C T 2019 Light Sci. Appl. 8 88
[36] Nasari H, Galmiche G L, Aviles H E L, Schumer A, Hassan A U, Zhong Q, Rotter S, LiKamWa P, Christodoulides D N and Khajavikhan M 2022 Nature 605 256
[37] Verstraete F, Wolf M M and Cirac J I 2009 Nat. Phys. 5 633
[38] Wu Q C, Zhou Y H, Ye B L, Liu T and Yang C P 2021 New J. Phys. 23 113005
[39] Zou J, Zhang S and Tserkovnyak Y 2022 Phys. Rev. B 106 180406
[40] Schine N, Young A W, Eckner W J, Martin M J and Kaufman A M 2022 Nat. Phys. 18 1067
[41] Tang Z, Chen T, Tang X and Zhang X D 2024 Light Sci. Appl. 13 167
[42] Shore B W and Knight P L 1993 J. Mod. Opt. 40 1195
[43] Bishop L S, Ginossar E and Girvin S M 2010 Phys. Rev. Lett. 105 100505
[44] Minganti F, Miranowicz A, Chhajlany R W, Arkhipov I I and Nori F 2020 Phys. Rev. A 101 062112
[45] Naghiloo M, Abbasi M, Joglekar Y N and Murch K W 2019 Nat. Phys. 15 1232
[46] Zhou Y H, Shen H Z, Zhang X Y and Yi X X 2018 Phys. Rev. A 97 043819
[47] Liu C and Huang J F 2024 Sci. China-Phys. Mech. Astron. 67 240312
[48] Li J, Yu R and Wu Y 2015 Phys. Rev. A 92 053837
[49] Feng L, Wong Z J, Ma R M, Wang Y and Zhang X 2014 Science 346 972
[50] Chen W, Ozdemir S, Zhao G, Wiersig J and Yang L 2017 Nature 548 192
[51] Arkhipov I I, Miranowicz A, Nori F, Ozdemir S K and Minganti F 2023 Phys. Rev. Res. 5 043092
[52] Khudaverdyan M, Alt W, Kampschulte T, Reick S, Thobe A, Widera A and Meschede D 2009 Phys. Rev. Lett. 103 123006
[53] Leibfried D, Blatt R, Monroe C and Wineland D 2003 Rev. Mod. Phys. 75 281
[54] Miroshnychenko Y, Alt W, Dotsenko I, Forster L, Khudaverdyan M, Meschede D and Rauschenbeutel 2006 Nature 442 151
[55] Trupke M, Hinds E A, Eriksson S, Curtis E A, Moktadir Z, Kukharenka E and Kraft M 2005 Appl. Phys. Lett. 87 211106
[56] Mizuno K, Pae J, Nozokido T and Furuya K 1987 Nature 328 45
[57] Breuer H P and Petruccione F 2007 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
[58] Kienzler D, Lo H-Y, Keitch B, de Clercq L, Leupold F, Lindenfelser F, Marinelli M, Negnevitsky V and Home J P 2015 Science 347 53
[59] Yang P, Xia X, He H, Li S, Han X, Zhang P, Li G, Zhang P, Xu J, Yang Y and Zhang T 2019 Phys. Rev. Lett. 123 233604
[60] Wang J, Huang D Y, Zhou X L, Shen Z M, He S J, Huang Q Y, Liu Y J, Li C F and Guo G C 2025 Phys. Rev. Lett. 134 240802
[61] Steck D A Rubidium 87 D line data available online at http://steck.us/alkalidata
[62] Xing Y, Qi L, Cao J, Wang D Y, Bai C H, Wang H F, Zhu A D and Zhang S 2017 Phys. Rev. A 96 043810
[63] Hodaei H, Miri M A, Heinrich M, Christodoulides D N and Khajavikhan M 2014 Science 346 975
[64] Wu Q C, Zhou Y H, Ye B L, Liu T, Zhao J L, Chen D X and Yang C P 2022 Ann. Phys. 534 2100393
[65] Zheng X W, Zheng J C, Pan X F, Lin L H, Han P R and Li P B 2025 Phys. Rev. A 111 012402
[66] Liu B B, Su S L, Zuo Y L, He Q, Chen G, Nori F and Jing H 2024 arXiv: 2407.08525
[67] Feyisa C G, You J S, Ku H Y and Jen H H 2025 Quantum Sci. Technol. 10 025021

Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model

Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Xinsheng Ding(丁鑫圣), Wenyao Liu(刘文耀), Shixian Wang(王师贤), Yu Tao(陶煜), Yanru Zhou(周彦汝), Yu Bai(白禹), Lai Liu(刘来), Enbo Xing(邢恩博), Jun Tang(唐军), and Jun Liu(刘俊). Design of a high sensitivity and wide range angular rate sensor based on exceptional surface[J]. 中国物理B, 2024, 33(8): 84204-084204.
[2]	Hao-Xiang Li(李澔翔), Yang Tan(谭杨), Jing Yang(杨京), and Bin Liang(梁彬). Theory of complex-coordinate transformation acoustics for non-Hermitian metamaterials[J]. 中国物理B, 2023, 32(9): 94301-094301.
[3]	Chun-Qi Tang(汤椿琦) and Li-Tuo Shen(沈利托). First-order quantum phase transition and entanglement in the Jaynes-Cummings model with a squeezed light[J]. 中国物理B, 2023, 32(7): 70303-070303.
[4]	Mengmeng Luo(罗萌萌), Wenxiao Liu(刘文晓), Yuetao Chen(陈悦涛), Shangbin Han(韩尚斌), and Shaoyan Gao(高韶燕). Environmental parameter estimation with the two-level atom probes[J]. 中国物理B, 2022, 31(5): 50304-050304.
[5]	Kang-Ying Du(杜康英), Ya-Jie Ma(马雅洁), Shao-Xiong Wu(武少雄), and Chang-Shui Yu(于长水). Quantum speed limit for the maximum coherent state under the squeezed environment[J]. 中国物理B, 2021, 30(9): 90308-090308.
[6]	Yi-Fan Wang(王伊凡), Hong-Hao Yin(尹洪浩), Ming-Yue Yang(杨明月), An-Chun Ji(纪安春), and Qing Sun(孙青). Effective Hamiltonian of the Jaynes-Cummings model beyond rotating-wave approximation[J]. 中国物理B, 2021, 30(6): 64204-064204.
[7]	Jing-Ying Wei(魏静莹), Qing Wang(王青), and Jian Jing(荆坚). Supersymmetric structures of Dirac oscillators in commutative and noncommutative spaces[J]. 中国物理B, 2021, 30(11): 110307-110307.
[8]	Xianfeng Ou(欧先锋), Jiahao Huang(黄嘉豪), and Chaohong Lee(李朝红). Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model[J]. 中国物理B, 2021, 30(11): 110309-110309.
[9]	王彦懿, 方卯发. Generation of sustained optimal entropy squeezing of a two-level atom via non-Hermitian operation[J]. 中国物理B, 2018, 27(11): 114207-114207.
[10]	M. Mirzaee, M. Batavani. Atom-field entanglement in the Jaynes–Cummings modelwithout rotating wave approximation[J]. , 2015, 24(4): 40306-040306.
[11]	马悦, 董锟, 田贵花. Evolution of entanglement between qubits ultra-strongly coupling to a quantum oscillator[J]. , 2014, 23(9): 94204-094204.
[12]	Seyed Mahmoud Ashrafi, Mohammad Reza Bazrafkan. New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping[J]. , 2014, 23(9): 90303-090303.
[13]	H R Baghshahi, M K Tavassoly, A Behjat. Entropy squeezing and atomic inversion in the k-photon Jaynes-Cummings model in the presence of the Stark shift and a Kerr medium：A full nonlinear approach[J]. , 2014, 23(7): 74203-074203.
[14]	M. Mirzaee, N. Kamani. Analytical approach to dynamics of transformed rotating-wave approximation with dephasing[J]. 中国物理B, 2013, 22(9): 94203-094203.
[15]	胡要花, 王军强. Quantum correlations between two non-interacting atoms under the influence of a thermal environment[J]. 中国物理B, 2012, 21(1): 14203-014203.