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碰撞充电拓扑量子电池中的边界可达功

Boundary-accessible work in a collision-charged topological quantum battery

Osman Orçun Keskin, Özgür E. Müstecaplıoğlu

arXiv 2610.06849首次发表:更新:

发表机构

Koç University; TÜBİTAK Research Institute for Fundamental Sciences (TBAE)(科奇大学; 土耳其科学与技术研究委员会基础科学研究院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究通过SSH型自旋链的碰撞充电拓扑量子电池,发现拓扑边缘模的共振填充使单边界脉冲能输送98.6%的最大负载功,且优势在跳跃无序下保持,揭示了拓扑通道对局部功提取的关键作用。

AI 中文摘要

量子电池将能量存储在非平衡量子态中。ergotropy设定了任意全局幺正变换可提取的功,但设备通常通过单个局部端口交换能量。目前尚不清楚这样的端口能输送多少存储功,以及拓扑边缘模是否有帮助。我们研究了一类Su-Schrieffer-Heeger(SSH)型的二聚化自旋链。激发的二能级辅助体通过重复碰撞在一端为其充电,而一个初始为空的两能级负载在同一位置放电。精确的自由费米子映射给出了所有数守恒二次提取协议下负载功的上界。只有当电池的单粒子模持有超过半个激发时,负载才能获得可提取的功。共振充电将拓扑边缘模填充到该阈值以上。对于代表性参数,单个边界脉冲即可输送该界允许的最大负载功的98.6%。在相同的六次碰撞控制下,平庸相的负载保持被动。在选择负载脉冲以实现最大输送功的协议中,循环功率在有限碰撞次数时达到峰值,而输送功在扫描范围内持续增加。在测试范围内,该优势在保持手性对称性的跳跃无序下依然存在。位点无序破坏该对称性,并导致有限比例的负载保持被动。因此,拓扑提供了一条局域化的访问通道,而光谱匹配和对称性决定了存储能量是否成为可用的局域功。

英文摘要

Quantum batteries store energy in nonequilibrium quantum states. The ergotropy sets the work extractable by an arbitrary global unitary, but a device usually exchanges energy through a single local port. It remains unclear how much stored work such a port can deliver, and whether topological edge modes help. We study a dimerized spin chain of Su-Schrieffer-Heeger (SSH) type. Excited two-level ancillas charge it at one end by repeated collisions, and an initially empty two-level load discharges it at the same site. An exact free-fermion mapping yields a bound on the load work for all number-conserving quadratic extraction protocols. The load gains extractable work only if a single-particle mode of the battery holds more than half an excitation. Resonant charging fills the topological edge mode above this threshold. A single boundary pulse then delivers 98.6% of the maximal load work allowed by the bound for representative parameters. Under the same six-collision controls, the trivial-phase load remains passive. Within the protocol that selects the load pulse for maximum delivered work, cycle power peaks at a finite collision number while delivered work continues to increase over the scanned range. Over the tested range, the advantage survives hopping disorder, which preserves chiral symmetry. On-site disorder breaks this symmetry and leaves a finite fraction of loads passive. Topology thus supplies a localized access channel, while spectral matching and symmetry decide whether stored energy becomes usable local work.

Comments26 pages, 20 figures, including Supplemental Material (16 pages, 14 figures)

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