AI 中文总结
该研究探究双量子比特量子电池的环境通道空间排布对相干性与功提取的影响，采用XY交换耦合量子比特，发现共置配置可保留更多全局功熵，二者为调控可提取功提供互补机制。
AI 中文摘要
我们研究环境通道的空间排布如何影响双量子比特量子电池中相干性与功提取的动力学，该电池的共振量子比特通过XY交换相互作用耦合。量子比特B与有限温度热库相连，而随机电报噪声（RTN）根据配置的不同，要么施加于量子比特A，要么施加于量子比特B——当为分离配置时，噪声施加于量子比特A；当为共置配置时，噪声施加于量子比特B。我们考虑两种互补的乘积态，以在不同量子比特上初始化相干性。通过局部l₁范数相干性、全局功熵（ergotropy）以及全局-局部功熵差来评估动力学。结果表明，更强的交换相互作用会增强相干性的再分布，但不一定提升可提取功的保留量。在所研究的参数范围内，共置配置下保留了更大的全局功熵，尤其是当初始相干量子比特未直接受RTN影响时；不过，该配置会产生最大的全局-局部功熵差，该差值随交换相互作用、初始态和热耦合而变化。在强热化情况下，通常会观察到大J（交换耦合强度）时差值被抑制，但中间耦合时差值可能增强。这些结果表明，总可提取功、局部相干性和集体功优势量化了量子电池性能的不同方面，而相干性的初始分布与空间排布为调控相互作用开放量子电池中局部和集体可提取功提供了互补机制。
英文摘要
We investigate how the spatial arrangement of environment channel influences the dynamics of coherence and work extraction in a two-qubit quantum battery with resonant qubits coupled through an XY-exchange interaction. Qubit B is attached to a finite-temperature thermal bath, while RTN noise is applied either to qubit A or to qubit B, depending on whether it is in a separated or co-located configuration, respectively. Two complementary product states are considered to initialise the coherence on different qubits. The dynamics are evaluated using local $l_{1}$-norm coherence, global ergotropy and the global-local ergotropy gap. The results suggest that a stronger exchange interaction enhances the redistribution of coherence without necessarily improving retention of extractable work. For the parameter investigated, the greater global ergotropy is retained in the case of the co-located configuration, especially when the initially coherent qubit is not directly affected by the RTN. However, the configuration provides the largest global-local ergotropy gap, which varies with the exchange interaction, initial state and thermal coupling. Suppression of the gap at large $J$ is typically observed in the case of stronger thermalisation, although enhancement of intermediate-coupling may occur. These results establish that total extractable work, local coherence and collective work advantage quantify the distinct aspects of quantum battery performances. The initial distribution of coherence and the spatial arrangement thus provide complementary mechanisms for regulating locally and collectively extractable work in interacting open quantum batteries.
Comments10 pages, 12 Figures
