Enhancement of charging performance of quantum battery via quantum coherence of bath

doi:10.1088/1674-1056/ac728b

中国物理B ›› 2023, Vol. 32 ›› Issue (1): 10302-010302.doi: 10.1088/1674-1056/ac728b

Enhancement of charging performance of quantum battery via quantum coherence of bath

Wen-Li Yu(于文莉)¹, Yun Zhang(张允)², Hai Li(李海)^2,†, Guang-Fen Wei(魏广芬)², Li-Ping Han(韩丽萍)³, Feng Tian(田峰)⁴, and Jian Zou(邹建)^4,‡

1 School of Computer Science and Technology, Shandong Technology and Business University, Yantai 264005, China;
2 School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai 264005, China;
3 School of Science, Tianjin University of Technology, Tianjin 300384, China;
4 School of Physics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2022-01-26 修回日期:2022-05-12 接受日期:2022-05-24 出版日期:2022-12-08 发布日期:2022-12-23
通讯作者: Hai Li, Jian Zou E-mail:lihai@sdtbu.edu.cn;zoujian@bit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11775019 and 62173213), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011FL009), and the Shandong Provincial Science and Technology Support Program of Youth Innovation Team in Colleges (Grant Nos. 2019KJN041 and 2020KJN005).

Enhancement of charging performance of quantum battery via quantum coherence of bath

Wen-Li Yu(于文莉)¹, Yun Zhang(张允)², Hai Li(李海)^2,†, Guang-Fen Wei(魏广芬)², Li-Ping Han(韩丽萍)³, Feng Tian(田峰)⁴, and Jian Zou(邹建)^4,‡

1 School of Computer Science and Technology, Shandong Technology and Business University, Yantai 264005, China;
2 School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai 264005, China;
3 School of Science, Tianjin University of Technology, Tianjin 300384, China;
4 School of Physics, Beijing Institute of Technology, Beijing 100081, China

Received:2022-01-26 Revised:2022-05-12 Accepted:2022-05-24 Online:2022-12-08 Published:2022-12-23
Contact: Hai Li, Jian Zou E-mail:lihai@sdtbu.edu.cn;zoujian@bit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11775019 and 62173213), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011FL009), and the Shandong Provincial Science and Technology Support Program of Youth Innovation Team in Colleges (Grant Nos. 2019KJN041 and 2020KJN005).

摘要/Abstract

摘要： An open quantum battery (QB) model of a single qubit system charging in a coherent auxiliary bath (CAB) consisting of a series of independent coherent ancillae is considered. According to the collision charging protocol we derive a quantum master equation and obtain the analytical solution of QB in a steady state. We find that the full charging capacity (or the maximal extractable work (MEW)) of QB, in the weak QB-ancilla coupling limit, is positively correlated with the coherence magnitude of ancilla. Combining with the numerical simulations we compare with the charging properties of QB at finite coupling strength, such as the MEW, average charging power and the charging efficiency, when considering the bath to be a thermal auxiliary bath (TAB) and a CAB, respectively. We find that when the QB with CAB, in the weak coupling regime, is in fully charging, both its capacity and charging efficiency can go beyond its classical counterpart, and they increase with the increase of coherence magnitude of ancilla. In addition, the MEW of QB in the regime of relative strong coupling and strong coherent magnitude shows the oscillatory behavior with the charging time increasing, and the first peak value can even be larger than the full charging MEW of QB. This also leads to a much larger average charging power than that of QB with TAB in a short-time charging process. These features suggest that with the help of quantum coherence of CAB it becomes feasible to switch the charging schemes between the long-time slow charging protocol with large capacity and high efficiency and the short-time rapid charging protocol with highly charging power only by adjusting the coupling strength of QB-ancilla. This work clearly demonstrates that the quantum coherence of bath can not only serve as the role of "fuel" of QB to be utilized to improve the QB's charging performance but also provide an alternative way to integrate the different charging protocols into a single QB.

关键词: quantum battery, quantum coherence, maximal extractable work, charging power

Abstract: An open quantum battery (QB) model of a single qubit system charging in a coherent auxiliary bath (CAB) consisting of a series of independent coherent ancillae is considered. According to the collision charging protocol we derive a quantum master equation and obtain the analytical solution of QB in a steady state. We find that the full charging capacity (or the maximal extractable work (MEW)) of QB, in the weak QB-ancilla coupling limit, is positively correlated with the coherence magnitude of ancilla. Combining with the numerical simulations we compare with the charging properties of QB at finite coupling strength, such as the MEW, average charging power and the charging efficiency, when considering the bath to be a thermal auxiliary bath (TAB) and a CAB, respectively. We find that when the QB with CAB, in the weak coupling regime, is in fully charging, both its capacity and charging efficiency can go beyond its classical counterpart, and they increase with the increase of coherence magnitude of ancilla. In addition, the MEW of QB in the regime of relative strong coupling and strong coherent magnitude shows the oscillatory behavior with the charging time increasing, and the first peak value can even be larger than the full charging MEW of QB. This also leads to a much larger average charging power than that of QB with TAB in a short-time charging process. These features suggest that with the help of quantum coherence of CAB it becomes feasible to switch the charging schemes between the long-time slow charging protocol with large capacity and high efficiency and the short-time rapid charging protocol with highly charging power only by adjusting the coupling strength of QB-ancilla. This work clearly demonstrates that the quantum coherence of bath can not only serve as the role of "fuel" of QB to be utilized to improve the QB's charging performance but also provide an alternative way to integrate the different charging protocols into a single QB.

Key words: quantum battery, quantum coherence, maximal extractable work, charging power

中图分类号: (Quantum mechanics)

03.65.-w

05.70.-a (Thermodynamics) 64.70.qd (Thermodynamics and statistical mechanics) 65.80.-g (Thermal properties of small particles, nanocrystals, nanotubes, and other related systems)

Wen-Li Yu(于文莉), Yun Zhang(张允), Hai Li(李海), Guang-Fen Wei(魏广芬), Li-Ping Han(韩丽萍), Feng Tian(田峰), and Jian Zou(邹建). Enhancement of charging performance of quantum battery via quantum coherence of bath[J]. 中国物理B, 2023, 32(1): 10302-010302.

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Enhancement of charging performance of quantum battery via quantum coherence of bath

Enhancement of charging performance of quantum battery via quantum coherence of bath

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