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Entanglement and energy transportation in central-spin quantum battery |
| Fan Liu(刘帆)1, Hui-Yu Yang(杨慧宇)1, Shuai-Li Wang(王帅立)1, Jun-Zhong Wang(王俊钟)1, Kun Zhang(张堃)1,2,3,†, and Xiao-Hui Wang(王晓辉)1,2,3,‡ |
1 School of Physics, Northwest University, Xi'an 710127, China;
2 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China;
3 Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China |
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Abstract Quantum battery exploits the principle of quantum mechanics to transport and store energy. We study the energy transportation of the central-spin quantum battery, which is composed of $N_{\rm b}$ spins serving as the battery cells, and surrounded by $N_{\rm c}$ spins serving as the charger cells. We apply the invariant subspace method to solve the dynamics of the central-spin battery with a large number of spins. We establish a universal inverse relationship between the battery capacity and the battery-charger entanglement, which persists in any size of the battery and charger cells. Moreover, we find that when $N_{\rm b}=N_{\rm c}$, the central-spin battery has the optimal energy transportation, corresponding to the minimal battery-charger entanglement. Surprisingly, the central-spin battery has a uniform energy transportation behaviors in certain battery-charger scales. Our results reveal a nonmonotonic relationship between the battery-charger size and the energy transportation efficiency, which may provide more insights on designing other types of quantum batteries.
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Received: 01 November 2024
Revised: 02 December 2024
Accepted manuscript online: 05 December 2024
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PACS:
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03.65.-w
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(Quantum mechanics)
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05.70.-a
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(Thermodynamics)
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03.67.Bg
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(Entanglement production and manipulation)
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| Fund: Project supported by the National Natural Science Foundation (Grant Nos. 12275215, 12305028, and 12247103), the Major Basic Research Program of the Natural Science of Shaanxi Province, China (Grant No. 2021JCW-19), Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant No. 22JSZ005), and the Youth Innovation Team of Shaanxi Universities. |
Corresponding Authors:
Kun Zhang, Xiao-Hui Wang
E-mail: kunzhang@nwu.edu.cn;xhwang@nwu.edu.cn
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Cite this article:
Fan Liu(刘帆), Hui-Yu Yang(杨慧宇), Shuai-Li Wang(王帅立), Jun-Zhong Wang(王俊钟), Kun Zhang(张堃), and Xiao-Hui Wang(王晓辉) Entanglement and energy transportation in central-spin quantum battery 2025 Chin. Phys. B 34 020306
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[1] Nielsen M A and Chuang I 2000 Quantum computation and quantum information (Cambridge University Press)
[2] Bennett C H, Brassard G, Popescu S, Schumacher B, Smolin G A and Wootters W K 1996 Phys. Rev. Lett. 76 722
[3] Gisin N, Ribordy G, Tittel W and Zbinden H 2002 Rev. Mod. Phys. 74 145
[4] Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C and O’Brien J L 2010 Nature 465 45
[5] Reiher M, Wiebe N, Svore K M, Wecker D and Troyer M 2017 Proc. Natl. Acad. Sci. USA 114 7555
[6] Boixo S, Isakov S V, Smelyanskiy V N, Babbush R, Ding N, Jiang Z, Bremner M J, Martinis and Neven H 2018 Nat. Phys. 14 595
[7] Duan L M, Lukin M D, Cirac J I and Zoller P 2001 Nature 414 413
[8] Koepsell J, Bourgund D, Sompet P, Hirthe S, Bohrdt A,Wang Y, Grusdt F, Demler E, Salomon G, Gross C and Bloch 2021 Science 374 82
[9] Muniz J A, Barberena D, Lewis-Swan R J, Young D J, Cline J R K, Rey A M and Thompson J K 2020 Nature 580 602
[10] Blatt R and Roos C F 2020 Nat. Phys. 8 277
[11] Tamura M, Mukaiyama T and Toyoda K 2020 Phys. Rev. Lett. 124 200501
[12] Niu J J, Yan T X, Zhou Y X, Tao Z Y, Li X L, Liu W Y, Zhang L B, Jia H, Liu S, Yan Z B, Chen Y Z and Yu D 2021 Sci. Bull. 66 1168
[13] Guo Q J, Cheng C, Sun Z H, Song Z X, Li H K, Wang Z, Ren W H, Dong H, Zheng D N, Zhang Y R, Mondaini R, Fan H andWang H 2021 Nat. Phys. 17 234
[14] Campisi M, Hanggi P and Talkner P 2011 Rev. Mod. Phys. 83 1653
[15] Yang X, Yang Y H, Alimuddin M, Salvia R, Fei S M, Zhao L M, Nimmrichter S and Luo M X 2023 Phys. Rev. Lett. 131 030402
[16] Shi Y H, Shi H L, Wang X H, Hu M L, Liu S Y, Yang W L and Fan H 2020 J. Phys. A: Math. Theor. 53 085301
[17] Ji W, Chai Z, Wang M, Guo Y, Rong X, Shi F, Ren C L, Wang Y and Du J F 2022 Phys. Rev. Lett. 128 090602
[18] Dou F Q, Lu Y Q,Wang Y J and Sun J A 2022 Phys. Rev. B 105 115405
[19] Dou F Q, Zhou H and Sun J A 2022 Phys. Rev. A 106 032212
[20] Wang Z, Li H, Feng W, Song X, Song C, Liu W, Guo Q, Zhang X, Dong H, Zheng D, Wang H and Wang D W 2022 Phys. Rev. Lett. 124 013601
[21] Lu W, Chen J, Kuang L M and Wang X 2021 Phys. Rev. A 104 043706
[22] Uzdin R, Levy A and Kosloff R 2015 Phys. Rev. X 5 031044
[23] Brandão F G S L, Horodecki M, Oppenheim J, Renes J M and Spekkens R W 2013 Phys. Rev. Lett. 111 250404
[24] Alvarado Barrios G, Albarrán-Arriagada F, Cárdenas-López F A, Romero G and Retamal J C 2017 Phys. Rev. A 996 052119
[25] Altintas F, Hardal A Ü C and Müstecaplioǧlu Ö E 2014 Phys. Rev. E 90 032102
[26] Park J J, Kim K H, Sagawa T and Kim S W 2017 Phys. Rev. Lett. 111 230402
[27] Seah S, Perarnau-Llobet M, Haack G, Brunner N and Nimmrichter S 2017 Phys. Rev. Lett. 127 100601
[28] Manzano G, Plastina F and Zambrini R 2017 Phys. Rev. Lett. 121 120602
[29] Goold J, Huber M, Riera A, del Rio L and Skrzypczyk P 2016 J. Phys. A: Math. Theor. 49 143001
[30] Strasberg P, Schaller G, Brandes T and Esposito M 2017 Phys. Rev. X 7 021003
[31] Watanabe G, Venkatesh B P, Talkner P and del Campo A 2017 Phys. Rev. Lett. 118, 050601
[32] Zhang Y Y, Yang T R, Fu L and Wang X 2019 Phys. Rev. E 99 052106
[33] Alicki R and Fannes M 2013 Phys. Rev. E 87 042123
[34] Quach J Q, McGhee K E, Ganzer L, Rouse D M, Lovett B W, Gauger E M, Keeling J, Cerullo G, Lidzey D G and Virgili T 2022 Sci. Adv. 8 eabk3160
[35] Ferraro D, Campisi M, Andolina G M, Pellegrini V and Polini M 2018 Phys. Rev. Lett. 120 117702
[36] Fusco L, Paternostro M and Chiara G D 2016 Phys. Rev. E 94 052122
[37] Binder F C, Vinjanampathy S, Modi K and Goold J 2015 New J. Phys. 17 075015
[38] Andolina G M, Farina D, Mari A, Pellegrini V, Giovannetti V and Polini M 2018 Phys. Rev. B 98 205423
[39] Santos A C 2021 Phys. Rev. E 103 042118
[40] Rossini D, Andolina G M, Rosa D, Carrega Mand PoliniM2020 Phys. Rev. Lett. 125 236402
[41] YuWL, Zhang Y, Li H,Wei G F, Han L P, Tian F and Zou J 2023 Chin. Phys. B 32 010302
[42] Yang Z Q, Zhou L K, Zhou Z Y, Jin G R, Cheng L andWang X G 2023 Chin. Phys. B 32 110301
[43] Yao Y and Shao X Q 2021 Phys. Rev. E 104 044116
[44] Andolina G M, Keck M, Mari A, Campisi M, Giovannetti V and Polini M 2019 Phys. Rev. Lett. 122 047702
[45] Zhang X and Blaauboer M 2023 Front. Phys. 10 1097564
[46] Li J and Shen S Q 2007 Phys. Rev. B 76 153302
[47] Bortz M and Stolze J 2007 Phys. Rev. B 76 014304
[48] Gaudin M 1976 J. Phys. 37 10
[49] Dominguez F, Esebbag C and Dukelsky J 2006 J. Phys. A 39 11349
[50] Faribault A, Koussir H and Mohamed M H 2019 Phys. Rev. B 100 205420
[51] Doherty M W, Manson N B, Delaney P, Jelezko F, Wrachtrup J and Hollenberg L C L 2013 Phys. Rep. 528 1
[52] Fan J Y and Pang S S 2023 Phys. Rev. A 107 022209
[53] Li Z, Yang P, You W L and Wu N 2023 Phys. Rev. A 102 032409
[54] Schliemann J, Khaetskii A V and Loss D 2002 Phys. Rev. B 66 245304
[55] Alexander V Khaetskii, Loss D and Glazman L 2002 Phys. Rev. Lett. 88 186802
[56] Deng C and Hu X 2006 Phys. Rev. B 73 241303
[57] Peng L, He W B, Chesi S, Lin H Q and Guan X W 2021 Phys. Rev. A 103 052220
[58] Liu J X, Shi H L, Shi Y H, Wang X H and Yang W L 2021 Phys. Rev. B 104 245418
[59] Kamin F H, Tabesh F T, Salimi S and Santos A C 2020 Phys. Rev. E 102 052109
[60] Hovhannisyan K V, Perarnau-Llobet M, Huber M and Acin A 2013 Phys. Rev. Lett. 111 240401
[61] Shi H L, Ding S, Wan Q K, Wang X H and Yang W L 2022 Phys. Rev. Lett. 129 130602
[62] Dicke R H 1954 Phys. Rev. 93 99
[63] Villazon T, Chandran A and Claeys P W 2020 Phys. Rev. R 2 032052
[64] Tang L H, Long D M, Polkovnikov A, Chandran A and Claeys P W 2023 Scipost Phys. 15 030
[65] Le T, Levinsen J, Modi K, Parish M M and Pollock F A 2018 Phys. Rev. A 97 022106 |
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