Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems

doi:10.1088/1674-1056/adab64

中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30305-030305.doi: 10.1088/1674-1056/adab64

Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems

Rong Chang(常蓉) and Sheng-Chang Li(栗生长)†

MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, and School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2024-11-04 修回日期:2024-12-16 接受日期:2025-01-17 发布日期:2025-03-15
通讯作者: Sheng-Chang Li E-mail:scli@xjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12375019 and 11974273).

Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems

Rong Chang(常蓉) and Sheng-Chang Li(栗生长)†

MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, and School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2024-11-04 Revised:2024-12-16 Accepted:2025-01-17 Published:2025-03-15
Contact: Sheng-Chang Li E-mail:scli@xjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12375019 and 11974273).

摘要/Abstract

摘要： The control of adiabatic dynamics is essential for quantum manipulation. We investigate the effects of both periodic modulating field and linear sweeping field on adiabatic dynamics based on a non-reciprocal Landau-Zener model with periodic modulation. We obtain adiabatic phase diagrams in the $(\omega,\delta)$ parameter space, where the adiabatic region is bounded by the modulating frequency $\omega$ greater than a critical value $\omega_{\rm c}$ and the non-reciprocal parameter $\delta$ less than one. The results show that the adiabaticity of the system is not sensitive to the modulating amplitude. We find that the critical modulating frequency can be expressed as a power function of the modulating period number or the sweeping rate. Our findings suggest that one can change the adiabatic region or improve the adiabaticity by adjusting the parameters of both the modulating and the sweeping fields, which provides an effective means to flexibly control the adiabatic dynamics of non-reciprocal systems.

关键词: adiabaticity, non-reciprocity, Landau-Zener tunneling, periodic modulation

Abstract: The control of adiabatic dynamics is essential for quantum manipulation. We investigate the effects of both periodic modulating field and linear sweeping field on adiabatic dynamics based on a non-reciprocal Landau-Zener model with periodic modulation. We obtain adiabatic phase diagrams in the $(\omega,\delta)$ parameter space, where the adiabatic region is bounded by the modulating frequency $\omega$ greater than a critical value $\omega_{\rm c}$ and the non-reciprocal parameter $\delta$ less than one. The results show that the adiabaticity of the system is not sensitive to the modulating amplitude. We find that the critical modulating frequency can be expressed as a power function of the modulating period number or the sweeping rate. Our findings suggest that one can change the adiabatic region or improve the adiabaticity by adjusting the parameters of both the modulating and the sweeping fields, which provides an effective means to flexibly control the adiabatic dynamics of non-reciprocal systems.

Key words: adiabaticity, non-reciprocity, Landau-Zener tunneling, periodic modulation

中图分类号: (Quantum mechanics)

03.65.-w

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 74.50.+r (Tunneling phenomena; Josephson effects)

Rong Chang(常蓉) and Sheng-Chang Li(栗生长). Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems[J]. 中国物理B, 2025, 34(3): 30305-030305.

Rong Chang(常蓉) and Sheng-Chang Li(栗生长). Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems[J]. Chin. Phys. B, 2025, 34(3): 30305-030305.

参考文献

[1] Ashhab S, Johansson J R, Zagoskin A M and Nori F 2007 Phys. Rev. A 75 063414
[2] Shevchenko S N, Ashhab S and Nori F 2010 Phys. Rep. 492 1
[3] Shytov A V, Ivanov D A and Feigel’man M V 2003 Eur. Phys. J. B 36 263
[4] Wu B and Niu Q 2000 Phys. Rev. A 61 023402
[5] Wang W Y, Sun B and Liu J 2022 Phys. Rev. A 106 063708
[6] Dai X, Trappen R, Chen H, et al. 2022 arXiv: 2207.02017v1[quant-ph]
[7] Liu J, Fu L B, Ou B Y, Chen S G, Choi D I, Wu B and Niu Q 2002 Phys. Rev. A 66 023404
[8] Hu J Y, Mao T F, Dou F Q and Zhao Q 2013 Acta Phys. Sin. 62 170303 (in Chinese)
[9] Liu X Z, Tian D P and Chong B 2016 Mod. Phys. Lett. B 30 1650194
[10] Stehli A, Brehm J D,Wolz T, Schneider A, Rotzinger H,WeidesMand Ustinov A V 2023 npj Quantum Inform. 9 61
[11] Xu X Y, Han Y J, Sun K, Xu J S, Tang J S, Li C F and Guo G C 2014 Phys. Rev. Lett. 112 035701
[12] Tong X Q, Gao X L and Kou S P 2023 Phys. Rev. B 107 104306
[13] Liu K Y, Zhang H, Cheng H Y, Dai T, Zhao Y J and Su J 2024 Results Phys. 64 107941
[14] Dong J, Li X L, Dou F Q andWangWY 2023 Phys. Rev. A 108 063506
[15] Ghaemi-Dizicheh H 2023 Phys. Rev. B 107 125155
[16] Huang X Y, Lu C C, Liang C, Tao H G and Liu Y C 2021 Light Sci. Appl. 10 30
[17] Hamann A R,Müller C, Jerger M, Zanner M, Combes J, Pletyukhov M, Weides M, Stace T M and Arkady F 2024 Phys. Rev. Lett. 121 123601
[18] Li S C, Fu L B and Liu J 2018 Phys. Rev. A 98 013601
[19] Wang X, Liu H D and Fu L B 2023 New J. Phys. 25 043032
[20] Wang G F, Fu L B and Liu J 2006 Phys. Rev. A 73 013619
[21] Cáceres J J, Domínguez D and Sánchez M J 2023 Phys. Rev. A 108 052619
[22] Wubs M, Saito K, Kohler S, Kayanuma Y and Hänggi P 2005 New J. Phys. 7 218
[23] Sarreshtedari F and Hosseini M 2017 Phys. Rev. A 95 033834
[24] Tchapda A B, Tchapda M B, Kammogne A D and Fai L C 2017 arXiv: 1708.04184v2[quant-ph]
[25] Sun J and Lu S F 2019 Quantum Inf. Process. 18 211
[26] Zhang Q 2016 Phys. Rev. A 93 012116
[27] Zhuang M, Huang J H, Ke Y G and Lee C H 2020 Ann. Phys. 532 1900471
[28] Wei Z H and Ying M S 2006 Phys. Lett. A 356 312
[29] Wang Z Y and Plenio M B 2016 Phys. Rev. A 93 052107
[30] Liu J, Wu B and Niu Q 2003 Phys. Rev. Lett. 90 170404
[31] Sun J and Lu S F 2016 Commun. Theor. Phys. 66 207
[32] Zhou X F, Zhang Y S, Zhou Z W and Guo G C 2010 Phys. Rev. A 81 043614
[33] Fermanian-Kammerer C and Joye A 2020 Nonlinearity 33 4715
[34] Zhang Q and Wu B 2019 Phys. Rev. A 99 032121
[35] Wu Z Y, Yu T and Zhou H W 1994 Phys. Lett. A 186 59
[36] Cheniti S, Koussa W, Koussa A and Maamache M 2020 J. Phys. A: Math. Theor. 53 405302
[37] Li H, Shen H Z, Wu S L and Yi X X 2017 Opt. Express 25 30135
[38] Luan T Z, Sun J Y and Shen H Z 2023 Europhys. Lett. 142 58001
[39] Song Y H,Wang X, Liu H D and Yi X X 2023 J. Phys. A: Math. Theor. 56 015304
[40] Yang J and Zhang Y 2020 Int. J. Theor. Phys. 59 3593
[41] Dong X P, Feng Z B, Lu X J, Li M and Zhao Z Y 2023 Chin. Phys. B 32 034201
[42] Singhal Y, Martello E, Agrawal S, Ozawa T, Price H and Gadway B 2023 Phys. Rev. Research 5 L032026
[43] Zener G 1932 Proc. R. Soc. Lond. A 137 696
[44] Li S C and Fu L B 2020 Phys. Rev. A 102 033313

Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems

Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems

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