Optimal driving field for multipartite quantum battery coupled with a common thermal bath

doi:10.1088/1674-1056/acdc12

中国物理B ›› 2023, Vol. 32 ›› Issue (11): 110301-110301.doi: 10.1088/1674-1056/acdc12

Optimal driving field for multipartite quantum battery coupled with a common thermal bath

Z Q Yang(杨梓骞), L K Zhou(周立坤), Z Y Zhou(周正阳), G R Jin(金光日), L Cheng(程龙)^†, and X G Wang(王晓光)^‡

1 Physics Department, Zhejiang Sci-Tech University, Hangzhou 310018, China;
2 Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China

收稿日期:2023-04-27 修回日期:2023-06-05 接受日期:2023-06-07 出版日期:2023-10-16 发布日期:2023-10-16
通讯作者: L Cheng, X G Wang E-mail:lcheng@zstu.edu.cn;xgwang@zju.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12075209, 11905185, and 11935012) and partially supported by the Science Foundation of Zhejiang Sci-Tech University (Grant No. 18062145-Y).

Optimal driving field for multipartite quantum battery coupled with a common thermal bath

Z Q Yang(杨梓骞), L K Zhou(周立坤), Z Y Zhou(周正阳), G R Jin(金光日), L Cheng(程龙)^†, and X G Wang(王晓光)^‡

1 Physics Department, Zhejiang Sci-Tech University, Hangzhou 310018, China;
2 Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China

Received:2023-04-27 Revised:2023-06-05 Accepted:2023-06-07 Online:2023-10-16 Published:2023-10-16
Contact: L Cheng, X G Wang E-mail:lcheng@zstu.edu.cn;xgwang@zju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12075209, 11905185, and 11935012) and partially supported by the Science Foundation of Zhejiang Sci-Tech University (Grant No. 18062145-Y).

摘要/Abstract

摘要： For a many-atom battery coupled with a common thermal bath, the useful energy is maximized at an optimal number of the atoms for a fixed harmonic driving field, i.e., the so-called optimal building block [see Chang et al. New J. Phys. 23 103026 (2021)]. Here we consider the useful energy defined by the ergotropy and a continuous-wave driving field. For the single-atom case, we present analytical results of the increased energy and the ergotropy in the long-time limit (i.e., the steady-state ergotropy). It is found that there exists an optimal value of the driving-field strength. Such an observation holds for many-atom cases. Numerically, we show that the optimal strength increases linearly with the number N of the atoms. Using the optimal strength for each N, both the increased energy and the ergotropy increase monotonically with N.

关键词: quantum mechanics, thermodynamics

Abstract: For a many-atom battery coupled with a common thermal bath, the useful energy is maximized at an optimal number of the atoms for a fixed harmonic driving field, i.e., the so-called optimal building block [see Chang et al. New J. Phys. 23 103026 (2021)]. Here we consider the useful energy defined by the ergotropy and a continuous-wave driving field. For the single-atom case, we present analytical results of the increased energy and the ergotropy in the long-time limit (i.e., the steady-state ergotropy). It is found that there exists an optimal value of the driving-field strength. Such an observation holds for many-atom cases. Numerically, we show that the optimal strength increases linearly with the number N of the atoms. Using the optimal strength for each N, both the increased energy and the ergotropy increase monotonically with N.

Key words: quantum mechanics, thermodynamics

中图分类号: (Quantum mechanics)

03.65.-w

05.70.-a (Thermodynamics)

Z Q Yang(杨梓骞), L K Zhou(周立坤), Z Y Zhou(周正阳), G R Jin(金光日), L Cheng(程龙), and X G Wang(王晓光). Optimal driving field for multipartite quantum battery coupled with a common thermal bath[J]. 中国物理B, 2023, 32(11): 110301-110301.

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Optimal driving field for multipartite quantum battery coupled with a common thermal bath

Optimal driving field for multipartite quantum battery coupled with a common thermal bath

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