Charging and self-discharging process of a quantum battery in composite environments

doi:10.1007/s11467-022-1230-x

Frontiers of Physics

2023, Vol. 18

Issue (3): 31301 https://doi.org/10.1007/s11467-022-1230-x

本期目录

Charging and self-discharging process of a quantum battery in composite environments

Kai Xu¹(

), Han-Jie Zhu², Hao Zhu³, Guo-Feng Zhang³(

), Wu-Ming Liu^2,^4,⁵

¹. School of Science, Tianjin University of Technology, Tianjin 300384, China
². Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
³. School of Physics, Beihang University, Beijing 100191, China
⁴. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
⁵. Songshan Lake Materials Laboratory, Dongguan 523808, China

全文: PDF(3867 KB) HTML

Abstract：

How to improve charging processes and suppress self-discharging processes has always been one of the key issues to achieve quantum batteries with high performance. Although a quantum battery is inevitably influenced by composite environments, this situation is still little understood, particularly regarding the influence of the memory effect of the composite environments and the coupling between composite environments. In this work, we investigate the effects of the composite environments, composed of two identical parts each containing a single cavity mode decaying to a reservoir, on the charging and self-discharging processes of a quantum battery. We show that increasing the two-mode coupling can effectively enhance the charging performance (i.e., the stored energy, the charging power, ergotropy) and restrain the self-discharging process (i.e., suppressing the process of dissipating the energy). However, different from the effect of two-mode coupling, we reveal that the memory effect of the reservoir in this composite environment is unfavorable to the charging process of the quantum battery, which is in sharp contrast to previous studies where the memory effect can significantly improve the charging performance of a quantum battery. Our results may benefit to the realization of quantum batteries with high performance under the actual complex environmental noise.

Key words： quantum battery quantum device

收稿日期: 2022-09-17 出版日期: 2023-01-16

Corresponding Author(s): Kai Xu,Guo-Feng Zhang

引用本文:

. [J]. Frontiers of Physics, 2023, 18(3): 31301.
Kai Xu, Han-Jie Zhu, Hao Zhu, Guo-Feng Zhang, Wu-Ming Liu. Charging and self-discharging process of a quantum battery in composite environments. Front. Phys. , 2023, 18(3): 31301.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-022-1230-x
https://academic.hep.com.cn/fop/CN/Y2023/V18/I3/31301

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

1	Nielsen M.L. Chuang I., Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, England, 2000
2	Arute F., Arya K., Babbush R., Bacon D., C. Bardin J.. et al.. Quantum supremacy using a programmable superconducting processor. Nature, 2019, 574(7779): 505 https://doi.org/10.1038/s41586-019-1666-5
3	Vinjanampathy S., Anders J.. Quantum thermodynamics. Contemp. Phys., 2016, 57(4): 545 https://doi.org/10.1080/00107514.2016.1201896
4	Uzdin R., Levy A., Kosloff R.. Equivalence of quantum heat machines, and quantum-thermodynamic signatures. Phys. Rev. X, 2015, 5(3): 031044 https://doi.org/10.1103/PhysRevX.5.031044
5	Campisi M., Fazio R.. Dissipation, correlation and lags in heat engines. J. Phys. A Math. Theor., 2016, 49(34): 345002 https://doi.org/10.1088/1751-8113/49/34/345002
6	Karimi B., P. Pekola J.. Otto refrigerator based on a superconducting qubit: Classical and quantum performance. Phys. Rev. B, 2016, 94(18): 184503 https://doi.org/10.1103/PhysRevB.94.184503
7	Marchegiani G., Virtanen P., Giazotto F., Campisi M.. Self-oscillating Josephson quantum heat engine. Phys. Rev. Appl., 2016, 6(5): 054014 https://doi.org/10.1103/PhysRevApplied.6.054014
8	N. Bera M., Riera A., Lewenstein M., Winter A.. Generalized laws of thermodynamics in the presence of correlations. Nat. Commun., 2017, 8(1): 2180 https://doi.org/10.1038/s41467-017-02370-x
9	Perarnau-Llobet M., Wilming H., Riera A., Gallego R., Eisert J.. Strong coupling corrections in quantum thermodynamics. Phys. Rev. Lett., 2018, 120(12): 120602 https://doi.org/10.1103/PhysRevLett.120.120602
10	Karimi B., P. Pekola J., Campisi M., Fazio R.. Coupled qubits as a quantum heat switch. Quantum Sci. Technol., 2017, 2(4): 044007 https://doi.org/10.1088/2058-9565/aa8330
11	Alicki R., Fannes M.. Entanglement boost for extractable work from ensembles of quantum batteries. Phys. Rev. E, 2013, 87(4): 042123 https://doi.org/10.1103/PhysRevE.87.042123
12	Campaioli F.A. Pollock F.Vinjanampathy S., in: Thermodynamics in the Quantum Regime: Fundamental Aspects and New Directions, edited by F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso, Springer International, Cham, 2018, pp 207–225
13	Bhattacharjee S., Dutta A.. Quantum thermal machines and batteries. Eur. Phys. J. B, 2021, 94(12): 239 https://doi.org/10.1140/epjb/s10051-021-00235-3
14	Niedenzu W., Mukherjee V., Ghosh A., G. Kofman A., Kurizki G.. Quantum engine efficiency bound beyond the second law of thermodynamics. Nat. Commun., 2018, 9(1): 165 https://doi.org/10.1038/s41467-017-01991-6
15	Rossini D., M. Andolina G., Rosa D., Carrega M., Polini M.. Quantum advantage in the charging process of Sachdev−Ye−Kitaev batteries. Phys. Rev. Lett., 2020, 125(23): 236402 https://doi.org/10.1103/PhysRevLett.125.236402
16	K. Hu C.Qiu J.J. P. Souza P.Yuan J.Zhou Y. Zhang L.Chu J.Pan X.Hu L.Li J. Xu Y.Zhong Y. Liu S.Yan F.Tan D.Bachelard R.J. Villas-Boas C.C. Santos A.Yu D., Optimal charging of a superconducting quantum battery, arXiv: 2108.04298 (2021)
17	P. Pekola J.. Towards quantum thermodynamics in electronic circuits. Nat. Phys., 2015, 11(2): 118 https://doi.org/10.1038/nphys3169
18	C. Santos A., Saguia A., S. Sarandy M.. Stable and charge-switchable quantum batteries. Phys. Rev. E, 2020, 101(6): 062114 https://doi.org/10.1103/PhysRevE.101.062114
19	L. Giorgi G., Campbell S.. Correlation approach to work extraction from finite quantum systems. J. Phys. At. Mol. Opt. Phys., 2015, 48(3): 035501 https://doi.org/10.1088/0953-4075/48/3/035501
20	Fusco L., Paternostro M., De Chiara G.. Work extraction and energy storage in the Dicke model. Phys. Rev. E, 2016, 94(5): 052122 https://doi.org/10.1103/PhysRevE.94.052122
21	Francica G., Goold J., Plastina F., Paternostro M.. Daemonic ergotropy: Enhanced work extraction from quantum correlations. npj Quantum Inf., 2017, 3: 12 https://doi.org/10.1038/s41534-017-0012-8
22	Monsel J., Fellous-Asiani M., Huard B., Auffeves A.. The energetic cost of work extraction. Phys. Rev. Lett., 2020, 124(13): 130601 https://doi.org/10.1103/PhysRevLett.124.130601
23	Q. Dou F., J. Wang Y., A. Sun J.. Closed-loop three-level charged quantum battery. Europhys. Lett., 2020, 131(4): 43001 https://doi.org/10.1209/0295-5075/131/43001
24	V. Hovhannisyan K., Perarnau-Llobet M., Huber M., Acin A.. Entanglement generation is not necessary for optimal work extraction. Phys. Rev. Lett., 2013, 111(24): 240401 https://doi.org/10.1103/PhysRevLett.111.240401
25	M. Andolina G., Keck M., Mari A., Campisi M., Gio-vannetti V., Polini M.. Extractable work, the role of correlations, and asymptotic freedom in quantum batteries. Phys. Rev. Lett., 2019, 122(4): 047702 https://doi.org/10.1103/PhysRevLett.122.047702
26	H. Kamin F., T. Tabesh F., Salimi S., C. Santos A.. Entanglement, coherence, and charging process of quantum batteries. Phys. Rev. E, 2020, 102(5): 052109 https://doi.org/10.1103/PhysRevE.102.052109
27	X. Liu J., L. Shi H., H. Shi Y., H. Wang X., L. Yang W.. Entanglement and work extraction in the central-spin quantum battery. Phys. Rev. B, 2021, 104(24): 245418 https://doi.org/10.1103/PhysRevB.104.245418
28	Y. Gyhm J., Safranek D., Rosa D.. Quantum charging advantage cannot be extensive without global operations. Phys. Rev. Lett., 2022, 128(14): 140501 https://doi.org/10.1103/PhysRevLett.128.140501
29	Ferraro D., Campisi M., M. Andolina G., Pellegrini V., Polini M.. High-power collective charging of a solid-state quantum battery. Phys. Rev. Lett., 2018, 120(11): 117702 https://doi.org/10.1103/PhysRevLett.120.117702
30	Campaioli F., A. Pollock F., C. Binder F., Celeri L., Goold J., Vinjanampathy S., Modi K.. Enhancing the charging power of quantum batteries. Phys. Rev. Lett., 2017, 118(15): 150601 https://doi.org/10.1103/PhysRevLett.118.150601
31	C. Binder F., Vinjanampathy S., Modi K., Goold J.. Quantacell: Powerful charging of quantum batteries. New J. Phys., 2015, 17(7): 075015 https://doi.org/10.1088/1367-2630/17/7/075015
32	P. García-Pintos L., Hamma A., del Campo A.. Fluctuations in extractable work bound the charging power of quantum batteries. Phys. Rev. Lett., 2020, 125(4): 040601 https://doi.org/10.1103/PhysRevLett.125.040601
33	Rossini D., M. Andolina G., Polini M.. Many-body localized quantum batteries. Phys. Rev. B, 2019, 100(11): 115142 https://doi.org/10.1103/PhysRevB.100.115142
34	Friis N., Huber M.. Precision and work fluctuations in Gaussian battery charging. Quantum, 2018, 2: 61 https://doi.org/10.22331/q-2018-04-23-61
35	McKay E., A. Rodriguez-Briones N., Martin-Martinez E.. Fluctuations of work cost in optimal generation of correlations. Phys. Rev. E, 2018, 98(3): 032132 https://doi.org/10.1103/PhysRevE.98.032132
36	Perarnau-Llobet M., Uzdin R.. Collective operations can extremely reduce work fluctuations. New J. Phys., 2019, 21(8): 083023 https://doi.org/10.1088/1367-2630/ab36a9
37	Crescente A., Carrega M., Sassetti M., Ferraro D.. Charging and energy fluctuations of a driven quantum battery. New J. Phys., 2020, 22(6): 063057 https://doi.org/10.1088/1367-2630/ab91fc
38	P. Le T., Levinsen J., Modi K., M. Parish M., A. Pollock F.. Spin-chain model of a many-body quantum battery. Phys. Rev. A, 2018, 97(2): 022106 https://doi.org/10.1103/PhysRevA.97.022106
39	Sen K., Sen U.. Local passivity and entanglement in shared quantum batteries. Phys. Rev. A, 2021, 104(3): L030402 https://doi.org/10.1103/PhysRevA.104.L030402
40	Peng L., B. He W., Chesi S., Q. Lin H., W. Guan X.. Lower and upper bounds of quantum battery power in multiple central spin systems. Phys. Rev. A, 2021, 103(5): 052220 https://doi.org/10.1103/PhysRevA.103.052220
41	Julià-Farré S., Salamon T., Riera A., N. Bera M., Lewenstein M.. Bounds on the capacity and power of quantum batteries. Phys. Rev. Res., 2020, 2(2): 023113 https://doi.org/10.1103/PhysRevResearch.2.023113
42	Pirmoradian F., Molmer K.. Aging of a quantum battery. Phys. Rev. A, 2019, 100(4): 043833 https://doi.org/10.1103/PhysRevA.100.043833
43	T. Mitchison M., Goold J., Prior J.. Charging a quantum battery with linear feedback control. Quantum, 2021, 5: 500 https://doi.org/10.22331/q-2021-07-13-500
44	Crescente A., Carrega M., Sassetti M., Ferraro D.. Ultrafast charging in a two-photon Dicke quantum battery. Phys. Rev. B, 2020, 102(24): 245407 https://doi.org/10.1103/PhysRevB.102.245407
45	Y. Zhang Y., R. Yang T., B. Fu L., G. Wang X.. Powerful harmonic charging in a quantum battery. Phys. Rev. E, 2019, 99(5): 052106 https://doi.org/10.1103/PhysRevE.99.052106
46	Q. Dou F., J. Wang Y., A. Sun J.. Highly efficient charging and discharging of three-level quantum batteries through shortcuts to adiabaticity. Front. Phys., 2022, 17(3): 31503 https://doi.org/10.1007/s11467-021-1130-5
47	Q. Dou F., Zhou H., A. Sun J.. Cavity Heisenberg-spin-chain quantum battery. Phys. Rev. A, 2022, 106(3): 032212 https://doi.org/10.1103/PhysRevA.106.032212
48	Q. Dou F., Q. Lu Y., J. Wang Y., A. Sun J.. Extended Dicke quantum battery with interatomic interactions and driving field. Phys. Rev. B, 2022, 105(11): 115405 https://doi.org/10.1103/PhysRevB.105.115405
49	P. Breuer H.Petruccione F., Theory of Open Quantum Systems, Oxford University Press, New York, 2002
50	P. Breuer H., M. Laine E., Piilo J.. Measure for the degree of non-Markovian behavior of quantum processes in open systems. Phys. Rev. Lett., 2009, 103(21): 210401 https://doi.org/10.1103/PhysRevLett.103.210401
51	L. Franco R., Bellomo B., Maniscalco S., Compagno G.. Dynamics of quantum correlations in two-qubit systems within non-Markovian environments. Int. J. Mod. Phys. B, 2013, 27(01n03): 1345053 https://doi.org/10.1142/S0217979213450537
52	de Vega I., Alonso D.. Dynamics of non-Markovian open quantum systems. Rev. Mod. Phys., 2017, 89(1): 015001 https://doi.org/10.1103/RevModPhys.89.015001
53	P. Breuer H., M. Laine E., Piilo J., Vacchini B.. Non-Markovian dynamics in open quantum systems. Rev. Mod. Phys., 2016, 88(2): 021002 https://doi.org/10.1103/RevModPhys.88.021002
54	Yao Y., Q. Shao X.. Optimal charging of open spin-chain quantum batteries via homodyne-based feedback control. Phys. Rev. E, 2022, 106(1): 014138 https://doi.org/10.1103/PhysRevE.106.014138
55	Ghosh S., Chanda T., Mal S., Sen(De) A.. Fast charging of a quantum battery assisted by noise. Phys. Rev. A, 2021, 104(3): 032207 https://doi.org/10.1103/PhysRevA.104.032207
56	Xu K., G. Li H., G. Li Z., J. Zhu H., F. Zhang G., M. Liu W.. Charging performance of quantum batteries in a double-layer environment. Phys. Rev. A, 2022, 106(1): 012425 https://doi.org/10.1103/PhysRevA.106.012425
57	Çakmak B.. Ergotropy from coherences in an open quantum system. Phys. Rev. E, 2020, 102(4): 042111 https://doi.org/10.1103/PhysRevE.102.042111
58	Pirmoradian F., Molmer K.. Aging of a quantum battery. Phys. Rev. A, 2019, 100(4): 043833 https://doi.org/10.1103/PhysRevA.100.043833
59	Barra F.. Dissipative charging of a quantum battery. Phys. Rev. Lett., 2019, 122(21): 210601 https://doi.org/10.1103/PhysRevLett.122.210601
60	Carrasco J., R. Maze J., Hermann-Avigliano C., Barra F.. Collective enhancement in dissipative quantum batteries. Phys. Rev. E, 2022, 105(6): 064119 https://doi.org/10.1103/PhysRevE.105.064119
61	Ghosh S., Sen(De) A.. Dimensional enhancements in a quantum battery with imperfections. Phys. Rev. A, 2022, 105(2): 022628 https://doi.org/10.1103/PhysRevA.105.022628
62	J. Lu W., Chen J., M. Kuang L., G. Wang X.. Optimal state for a Tavis−Cummings quantum battery via the Bethe ansatz method. Phys. Rev. A, 2021, 104(4): 043706 https://doi.org/10.1103/PhysRevA.104.043706
63	Mayo F., J. Roncaglia A.. Collective effects and quantum coherence in dissipative charging of quantum batteries. Phys. Rev. A, 2022, 105(6): 062203 https://doi.org/10.1103/PhysRevA.105.062203
64	Q. Quach J., J. Munro W.. Using dark states to charge and stabilize open quantum batteries. Phys. Rev. Appl., 2020, 14(2): 024092 https://doi.org/10.1103/PhysRevApplied.14.024092
65	Chang W., R. Yang T., Dong H., B. Fu L., G. Wang X., Y. Zhang Y.. Optimal building block of multipartite quantum battery in the driven-dissipative charging. New J. Phys., 2021, 23(10): 103026 https://doi.org/10.1088/1367-2630/ac2a5b
66	Delmonte A., Crescente A., Carrega M., Ferraro D., Sassetti M.. Characterization of a two-photon quantum battery: Initial conditions, stability and work extraction. Entropy (Basel), 2021, 23(5): 612 https://doi.org/10.3390/e23050612
67	Zhang X.Blaauboer M., Enhanced energy transfer in a Dicke quantum battery, arXiv: 1812.10139 (2018)
68	Zhao F., Q. Dou F., Zhao Q.. Charging performance of the Su−Schrieffer−Heeger quantum battery. Phys. Rev. Res., 2022, 4(1): 013172 https://doi.org/10.1103/PhysRevResearch.4.013172
69	Farina D., M. Andolina G., Mari A., Polini M., Giovannetti V.. Charger-mediated energy transfer for quantum batteries: An open-system approach. Phys. Rev. B, 2019, 99(3): 035421 https://doi.org/10.1103/PhysRevB.99.035421
70	T. Tabesh F., H. Kamin F., Salimi S.. Environment-mediated charging process of quantum batteries. Phys. Rev. A, 2020, 102(5): 052223 https://doi.org/10.1103/PhysRevA.102.052223
71	Yao Y., Q. Shao X.. Stable charging of a Rydberg quantum battery in an open system. Phys. Rev. E, 2021, 104(4): 044116 https://doi.org/10.1103/PhysRevE.104.044116
72	Zhao F., Q. Dou F., Zhao Q.. Quantum battery of interacting spins with environmental noise. Phys. Rev. A, 2021, 103(3): 033715 https://doi.org/10.1103/PhysRevA.103.033715
73	Xu K., J. Zhu H., F. Zhang G., M. Liu W.. Enhancing the performance of an open quantum battery via environment engineering. Phys. Rev. E, 2021, 104(6): 064143 https://doi.org/10.1103/PhysRevE.104.064143
74	H. Kamin F., T. Tabesh F., Salimi S., Kheirandish F., C. Santos A.. Non-Markovian effects on charging and self-discharging process of quantum batteries. New J. Phys., 2020, 22(8): 083007 https://doi.org/10.1088/1367-2630/ab9ee2
75	C. Santos A.. Quantum advantage of two-level batteries in the self-discharging process. Phys. Rev. E, 2021, 103(4): 042118 https://doi.org/10.1103/PhysRevE.103.042118
76	B. Arjmandi M., Mohammadi H., C. Santos A.. Enhancing self-discharging process with disordered quantum batteries. Phys. Rev. E, 2022, 105(5): 054115 https://doi.org/10.1103/PhysRevE.105.054115
77	Gherardini S., Campaioli F., Caruso F., C. Binder F.. Stabilizing open quantum batteries by sequential measurements. Phys. Rev. Res., 2020, 2(1): 013095 https://doi.org/10.1103/PhysRevResearch.2.013095
78	C. Santos A., Cakmak B., Campbell S., T. Zinner N.. Stable adiabatic quantum batteries. Phys. Rev. E, 2019, 100(3): 032107 https://doi.org/10.1103/PhysRevE.100.032107
79	Y. Bai S.H. An J., Floquet engineering to reactivate a dissipative quantum battery, Phys. Rev. A 102, 060201(R) (2020)
80	Romach Y., Muller C., Unden T., J. Rogers L., Isoda T., M. Itoh K., Markham M., Stacey A., Meijer J., Pez-zagna S., Naydenov B., P. McGuinness L., Bar-Gill N., Jelezko F.. Spectroscopy of surface-induced noise using shallow spins in diamond. Phys. Rev. Lett., 2015, 114(1): 017601 https://doi.org/10.1103/PhysRevLett.114.017601
81	Y. Xia K., Twamley J.. All-optical switching and router via the direct quantum control of coupling between cavity modes. Phys. Rev. X, 2013, 3(3): 031013 https://doi.org/10.1103/PhysRevX.3.031013
82	H. Liu B., Li L., F. Huang Y., F. Li C., C. Guo G., M. Laine E., P. Breuer H., Piilo J.. Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems. Nat. Phys., 2011, 7(12): 931 https://doi.org/10.1038/nphys2085
83	Blais A., S. Huang R., Wallraff A., M. Girvin S., J. Schoelkopf R.. Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation. Phys. Rev. A, 2004, 69(6): 062320 https://doi.org/10.1103/PhysRevA.69.062320
84	Chiuri A., Greganti C., Mazzola L., Paternostro M., Mataloni P.. Linear optics simulation of quantum non-Markovian dynamics. Sci. Rep., 2012, 2(1): 968 https://doi.org/10.1038/srep00968
85	E. Allahverdyan A., Balian R., M. Nieuwenhuizen T.. Maximal work extraction from finite quantum systems. Europhys. Lett., 2004, 67(4): 565 https://doi.org/10.1209/epl/i2004-10101-2
86	Lenard A.. Thermodynamical proof of the Gibbs formula for elementary quantum systems. J. Stat. Phys., 1978, 19(6): 575 https://doi.org/10.1007/BF01011769
87	Pusz W., L. Woronowicz S.. Passive states and KMS states for general quantum systems. Commun. Math. Phys., 1978, 58(3): 273 https://doi.org/10.1007/BF01614224
88	Lörch N., Bruder C., Brunner N., P. Hofer P.. Optimal work extraction from quantum states by photo-assisted Cooper pair tunneling. Quantum Sci. Technol., 2018, 3(3): 035014 https://doi.org/10.1088/2058-9565/aacbf3
89	Seah S.Nimmrichter S.Scarani V., Work production of quantum rotor engines, New J. Phys. 20(4), 043045 (2018)
90	Niedenzu W., Mukherjee V., Ghosh A., G. Kofman A., Kurizki G.. Quantum engine efficiency bound beyond the second law of thermodynamics. Nat. Commun., 2018, 9(1): 165 https://doi.org/10.1038/s41467-017-01991-6
91	M. Garraway B.. Decay of an atom coupled strongly to a reservoir. Phys. Rev. A, 1997, 55(6): 4636 https://doi.org/10.1103/PhysRevA.55.4636
92	M. Garraway B.. Nonperturbative decay of an atomic system in a cavity. Phys. Rev. A, 1997, 55(3): 2290 https://doi.org/10.1103/PhysRevA.55.2290
93	J. Dalton B., M. Barnett S., M. Garraway B.. Theory of pseudomodes in quantum optical processes. Phys. Rev. A, 2001, 64(5): 053813 https://doi.org/10.1103/PhysRevA.64.053813
94	Pleasance G., M. Garraway B., Petruccione F.. Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes. Phys. Rev. Res., 2020, 2(4): 043058 https://doi.org/10.1103/PhysRevResearch.2.043058

Viewed

Full text

Abstract

Cited

Shared

Discussed