Non-Hermitian many-body localization in asymmetric chains with long-range interaction

doi:10.1088/1674-1056/ae144f

中国物理B ›› 2026, Vol. 35 ›› Issue (6): 60509-060509.doi: 10.1088/1674-1056/ae144f

Non-Hermitian many-body localization in asymmetric chains with long-range interaction

Wen Wang(王雯)^1,†, Han-Ze Li(李函泽)^1,†, and Jian-Xin Zhong(钟建新)^1,2,‡

1 Institute for Quantum Science and Technology, Shanghai University, Shanghai 200444, China;
2 School of Physics and Optoelectronics, Xiangtan University, Xiangtan 411105, China

收稿日期:2025-05-26 修回日期:2025-10-05 接受日期:2025-10-17 发布日期:2026-06-15
通讯作者: Jian-Xin Zhong E-mail:jxzhong@shu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12374046) and the Shanghai Science and Technology Innovation Action Plan (Grant No. 24LZ1400800).

Non-Hermitian many-body localization in asymmetric chains with long-range interaction

Wen Wang(王雯)^1,†, Han-Ze Li(李函泽)^1,†, and Jian-Xin Zhong(钟建新)^1,2,‡

1 Institute for Quantum Science and Technology, Shanghai University, Shanghai 200444, China;
2 School of Physics and Optoelectronics, Xiangtan University, Xiangtan 411105, China

Received:2025-05-26 Revised:2025-10-05 Accepted:2025-10-17 Published:2026-06-15
Contact: Jian-Xin Zhong E-mail:jxzhong@shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12374046) and the Shanghai Science and Technology Innovation Action Plan (Grant No. 24LZ1400800).

摘要/Abstract

摘要： Understanding the relationship between many-body localization and spectra in non-Hermitian many-body systems is crucial. In a one-dimensional clean, long-range interaction-induced non-Hermitian many-body localization system, we have discovered the coexistence of static and dynamic spectral real-complex phase transitions, along with many-body ergodic-localized phase transitions. The phase diagrams of these two types of transitions show similar non-monotonic boundary trends but do not overlap, highlighting properties distinct from conventional disorder-induced non-Hermitian many-body localization. We also propose a potential experimental realization of this model in cold-atom systems. Our findings provide valuable insights for further understanding the relationship between non-Hermitian many-body localization and non-Hermitian spectra in long-range interacting systems.

关键词: quantum phase transitions, exact diagonalization, spectral real-complex transitions, ergodicity-MBL phase transitions

Abstract: Understanding the relationship between many-body localization and spectra in non-Hermitian many-body systems is crucial. In a one-dimensional clean, long-range interaction-induced non-Hermitian many-body localization system, we have discovered the coexistence of static and dynamic spectral real-complex phase transitions, along with many-body ergodic-localized phase transitions. The phase diagrams of these two types of transitions show similar non-monotonic boundary trends but do not overlap, highlighting properties distinct from conventional disorder-induced non-Hermitian many-body localization. We also propose a potential experimental realization of this model in cold-atom systems. Our findings provide valuable insights for further understanding the relationship between non-Hermitian many-body localization and non-Hermitian spectra in long-range interacting systems.

Key words: quantum phase transitions, exact diagonalization, spectral real-complex transitions, ergodicity-MBL phase transitions

中图分类号: (Quantum phase transitions)

05.30.Rt

02.70.Hm (Spectral methods) 03.65.Yz (Decoherence; open systems; quantum statistical methods) 05.70.Ln (Nonequilibrium and irreversible thermodynamics)

Wen Wang(王雯), Han-Ze Li(李函泽), and Jian-Xin Zhong(钟建新). Non-Hermitian many-body localization in asymmetric chains with long-range interaction[J]. 中国物理B, 2026, 35(6): 60509-060509.

Wen Wang(王雯), Han-Ze Li(李函泽), and Jian-Xin Zhong(钟建新). Non-Hermitian many-body localization in asymmetric chains with long-range interaction[J]. Chin. Phys. B, 2026, 35(6): 60509-060509.

参考文献

[1] Bohigas O, Giannoni M J and Schmit C 1984 Phys. Rev. Lett. 52 1
[2] Deutsch J M 1991 Phys. Rev. A 43 2046
[3] Srednicki M 1994 Phys. Rev. E 50 888
[4] Rigol M, Dunjko V and Olshanii M 2008 Nature 452 854
[5] Oganesyan V and Huse D A 2007 Phys. Rev. B 75 155111
[6] Pal A and Huse D A 2010 Phys. Rev. B 82 174411
[7] Nandkishore R, Gopalakrishnan S and Huse D A 2014 Phys. Rev. B 90 064203
[8] Nandkishore R and Huse D A 2015 Annual Review of Condensed Matter Physics 6 15
[9] Luitz D J, Laflorencie N and Alet F 2015 Phys. Rev. B 91 081103
[10] Serbyn M, Papić Z and Abanin D A 2013 Phys. Rev. Lett. 110 260601
[11] Bethe H 1931 Zeitschrift für Physik 71 205
[12] Lieb E H and Liniger W 1963 Phys. Rev. 130 1605
[13] Sutherland B 1971 Phys. Rev. A 4 2019
[14] Yang C N and Yang C P 1969 J. Math. Phys. 10 1115
[15] Sklyanin E K 1982 Journal of Soviet Mathematics 19 1546
[16] Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (London: Academic Press) pp. 172–195
[17] Shiraishi N and Mori T 2017 Phys. Rev. Lett. 119 030601
[18] Turner C J, Michailidis A A, Abanin D A, Serbyn M and Papić Z 2018 Nat. Phys. 14 745
[19] Serbyn M, Abanin D A and Papić Z 2021 Nat. Phys. 17 675
[20] Choi S, Turner C J, Pichler H, HoWW, Michailidis A A, Papić Z, Serbyn M, Lukin M D and Abanin D A 2019 Phys. Rev. Lett. 122 220603
[21] Ljubotina M, Roos B, Abanin D A and Serbyn M 2022 PRX Quantum 3 030343
[22] Sala P, Rakovszky T, Verresen R, Knap M and Pollmann F 2020 Phys. Rev. X 10 011047
[23] Khemani V, Hermele M and Nandkishore R 2020 Phys. Rev. B 101 174204
[24] Moudgalya S and Motrunich O I 2022 Phys. Rev. X 12 011050
[25] Anderson P W 1958 Phys. Rev. 109 1492
[26] Basko D, Aleiner I and Altshuler B 2006 Annals of Physics 321 1126
[27] Oganesyan V and Huse D A 2007 Phys. Rev. B 75 155111
[28] Iyer S, Oganesyan V, Refael G and Huse D A 2013 Phys. Rev. B 87 134202
[29] Schulz M, Hooley C A, Moessner R and Pollmann F 2019 Phys. Rev. Lett. 122 040606
[30] El-Ganainy R, Makris K G, Khajavikhan M, Musslimani Z H, Rotter S and Christodoulides D N 2018 Nat. Phys. 14 11
[31] Bergholtz E J, Budich J C and Kunst F K 2021 Rev. Mod. Phys. 93 015005
[32] Ashida Y, Gong Z and Ueda M 2020 Adv. Phys. 69 249
[33] Heiss W D 2012 J. Phys. A: Math. Theor. 45 444016
[34] Lee C H and Thomale R 2019 Phys. Rev. B 99 201103
[35] Yu X J, Pan Z, Xu L and Li Z X 2024 Phys. Rev. Lett. 132 116503
[36] ChenW, Ö zdemir Ş K, Zhao G,Wiersig J and Yang L 2017 Nature 548 192
[37] Lau H W and Clerk A A 2018 Nat. Commun. 9 4320
[38] Li S Z and Li Z 2024 Phys. Rev. B 110 L041102
[39] Liu G J, Zhang J M, Li S Z and Li Z 2024 Phys. Rev. A 110 012222
[40] Li K, Liu Z C and Xu Y 2023 arXiv: 2305.12342 [quant-ph]
[41] Liu Z C, Li K and Xu Y 2024 arXiv: 2311.16541 [quant-ph]
[42] Li H Z and Zhong J X 2024 arXiv: 2405.19155 [quant-ph]
[43] Naghiloo M, Abbasi M, Joglekar Y N and Murch KW2019 Nat. Phys. 15 1232
[44] Bender C M and Boettcher S 1998 Phys. Rev. Lett. 80 5243
[45] El-Ganainy R, Makris K G, Khajavikhan M, Musslimani Z H, Rotter S and Christodoulides D N 2018 Nat. Phys. 14 11
[46] Bergholtz E J, Budich J C and Kunst F K 2021 Rev. Mod. Phys. 93 015005
[47] Heiss W D 2012 J. Phys. A: Math. Theor. 45 444016
[48] Moiseyev N 2011 Non-Hermitian Quantum Mechanics (Cambridge University Press) pp. 21–43
[49] Yao S and Wang Z 2018 Phys. Rev. Lett. 121 086803
[50] Chen T, Shen R, Lee C H and Yang B 2023 SciPost Phys. 15 170
[51] Shen R, Chen T, Yang B and Lee C H 2023 arXiv: 2311.10143 [quantph]
[52] Chen T, Shen R, Lee C H and Yang B 2023 SciPost Phys. 15 170
[53] Lee C H, Li L, Thomale R and Gong J 2020 Phys. Rev. B 102 085151
[54] Liu T and Xia X 2022 Phys. Rev. B 105 054201
[55] Liu T and Wang Y 2024 Chin. Phys. B 33 030303
[56] Liu T, Cheng S, Guo H and Xianlong G 2021 Phys. Rev. B 103 104203
[57] Daley A J 2014 Adv. Phys. 63 77
[58] Diehl S, Micheli A, Kantian A, Kraus B, Büchler H P and Zoller P 2008 Nat. Phys. 4 878
[59] Hamazaki R, Kawabata K and Ueda M 2019 Phys. Rev. Lett. 123 090603
[60] Hamazaki R, Kawabata K, Kura N and Ueda M 2020 Phys. Rev. Res. 2 023286
[61] Hatano N and Nelson D R 1996 Phys. Rev. Lett. 77 570
[62] Hatano N and Nelson D R 1997 Phys. Rev. B 56 8651
[63] Zhai L J, Yin S and Huang G Y 2020 Phys. Rev. B 102 064206
[64] Li H Z, Yu X J and Zhong J X 2023 Phys. Rev. A 108 043301
[65] Liu J and Xu Z 2023 Phys. Rev. B 108 184205
[66] Roccati F, Balducci F, Shir R and Chenu A 2024 Phys. Rev. B 109 L140201
[67] Mák J, Bhaseen M J and Pal A 2024 Commun. Phys. 7 92
[68] De Tomasi G and Khaymovich I M 2024 Phys. Rev. B 109 174205
[69] Cheng S, Feng X, ChenW, Khan N A and Xianlong G 2024 Phys. Rev. B 109 174209
[70] Suthar K,Wang Y C, Huang Y P, Jen H H and You J S 2022 Phys. Rev. B 106 064208
[71] Wang Y C, Suthar K, Jen H H, Hsu Y T and You J S 2023 Phys. Rev. B 107 L220205
[72] Nandkishore R M and Sondhi S L 2017 Phys. Rev. X 7 041021
[73] Sierant P, Biedroń K, Morigi G and Zakrzewski J 2019 SciPost Phys. 7 008
[74] Levitov L S 1990 Phys. Rev. Lett. 64 547
[75] Burin A L 2006 arXiv: cond-mat/0611387 [cond-mat]
[76] Gutman D B, Mirlin A D and Gefen Y 2016 Phys. Rev. B 93 245427
[77] Yao N Y, Laumann C R, Gopalakrishnan S, Knap M,Müller M, Demler E A and Lukin M D 2014 Phys. Rev. Lett. 113 243002
[78] Nag S and Garg A 2019 Phys. Rev. B 99 224203
[79] Lukin I V, Slyusarenko Y V and Sotnikov A G 2022 Phys. Rev. B 105 184307
[80] Maghrebi M F, Gong Z X and Gorshkov A V 2017 Phys. Rev. Lett. 119 023001
[81] Liu R, Yi J, Zhou S and Zou L 2024 arXiv: 2405.14929 [cond-mat.strel]
[82] Cheng C 2023 Phys. Rev. B 108 155113
[83] Gong Z, Ashida Y, Kawabata K, Takasan K, Higashikawa S and Ueda M 2018 Phys. Rev. X 8 031079
[84] Guan X W, Batchelor M T and Lee C 2013 Rev. Mod. Phys. 85 1633
[85] Daley A J 2014 Adv. Phys. 63 77
[86] Weinberg P and Bukov M 2019 SciPost Phys. 7 020

Non-Hermitian many-body localization in asymmetric chains with long-range interaction

Non-Hermitian many-body localization in asymmetric chains with long-range interaction

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