非对易量子充电界中电池局域性的必要性

中文摘要 AI 辅助

直接充电协议中量子电池充电功率的界常被解释为充电侧约束。尽管已知充电哈密顿量的局域性在某些协议中限制可达到的功率，但电池局域性本身是否在操作上必要仍未解决。在此，我们证明对于相互作用不成对交换的自旋电池，电池局域性是必要的。我们构造了具有相同相互作用支撑和局域能量标度的高局域性对易与非对易电池，由相同的充电驱动。对易电池饱和了与电池局域性无关的界，而非对易电池以参数增长因子超过该界，表明该界不能普遍适用。交换子的增强范数从完全支持在电池基态能量扇区中的合适联合态动态达到，尽管该态可能与辅助费米子自由度相关。我们的结果确立了电池局域性作为由非对易电池相互作用实现的操作资源。

英文摘要

Bounds on the charging power of quantum batteries in direct charging protocols are often interpreted as charging-side constraints. Although the locality of the charging Hamiltonian is known to restrict attainable power in certain protocols, whether battery locality is itself operationally necessary has remained unresolved. Here we show that it is necessary for spin batteries whose interactions do not pairwise commute. We construct commuting and noncommuting high-locality batteries with identical interaction supports and local energy scale, driven by the same charging. The commuting battery saturates the battery-locality-independent bound, whereas the noncommuting battery exceeds it by a parametrically growing factor, demonstrating that this bound cannot apply generally. The enhanced norm of the commutator is dynamically attained from a suitable joint state supported entirely in the battery ground-energy sector, although this state may be correlated with the auxiliary fermionic degrees of freedom. Our results establish battery locality as an operational resource enabled by noncommuting battery interactions.

发表机构

• The Institute of Mathematical Sciences（马蒂斯研究所）
• Homi Bhabha National Institute（霍米·巴巴国立学院）

机构由 AI 辅助整理，请以论文原文为准。