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arXiv 2609.40038quant-ph

有限带宽保护三能级量子热机免受寄生热泄漏

Finite-Bandwidth Protection of a Three-Level Quantum Heat Engine Against Parasitic Heat Leaks

Gilberto Aparecido Prataviera, Marcos César de Oliveira

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中文总结 AI 辅助

本研究针对三能级量子热机中寄生热泄漏问题,通过精确求解速率网络和引入阻尼辅助模式作为物理滤波器,揭示了有限带宽下光谱选择性与动力学吞吐量之间的权衡,提出了保护热力学循环的设计原则。

中文摘要 AI 辅助

有限带宽的储层工程可以抑制量子热机中不想要的跃迁,但物理滤波器也会引入有限的响应时间。我们在一个连续三能级热机中研究这一竞争关系,其中热环境寄生性地耦合到冷跃迁。相应的三态速率网络被精确求解,表明寄生跃迁产生了一个从热到冷的 thermodynamic 短路,并给出了正功率运行丧失的闭合阈值。然后,我们显式地保留一个阻尼辅助模式作为物理光谱滤波器。其洛伦兹响应抑制了失谐的寄生跃迁,而过度的窄化限制了有用的能量吞吐量。独立的局域GKSL和非久期Bloch–Redfield计算都在弱耦合极限下恢复了无泄漏马尔可夫热机,并预测了一个有限的最大功率带宽,尽管其精确位置依赖于模型。相比之下,频率分辨的洛伦兹速率约化没有内部最优值。由此产生的设计原则是,光谱选择性可以保护有用的热力学循环,但真实的滤波器不能在不付出动力学吞吐量代价的情况下被窄化。

英文摘要

Finite-bandwidth reservoir engineering can suppress unwanted transitions in a quantum thermal machine, but a physical filter also introduces a finite response time. We study this competition in a continuous three-level heat engine whose hot environment couples parasitically to the cold transition. The corresponding three-state rate network is solved exactly, showing that the parasitic transition produces a hot-to-cold thermodynamic short circuit and yielding a closed threshold for the loss of positive-power operation. We then retain a damped auxiliary mode explicitly as a physical spectral filter. Its Lorentzian response suppresses the detuned parasitic transition, whereas excessive narrowing limits the useful energy throughput. Independent local-GKSL and nonsecular Bloch--Redfield calculations both recover the no-leak Markovian engine in the weak-coupling limit and predict a finite maximum-power bandwidth, although its precise location is model dependent. A frequency-resolved Lorentzian-rate reduction, by contrast, has no interior optimum. The resulting design principle is that spectral selectivity can protect the useful thermodynamic cycle, but a real filter cannot be narrowed without a dynamical throughput cost.

发表机构

  • Universidade de São Paulo(圣保罗大学)
  • Universidade Estadual de Campinas(坎皮纳斯州立大学)

机构由 AI 辅助整理,请以论文原文为准。

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