论文标题

在定期驱动的工作对工作转换器从弱耗散到强大耗散的工作转换器中违反TUR

Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation

论文作者

Cangemi, Loris Maria, Cataudella, Vittorio, Benenti, Giuliano, Sassetti, Maura, De Filippis, Giulio

论文摘要

我们研究了一个等温稳态工作对工作转换器的模型,其中由时间依赖的周期外场驱动的单个量子两级系统(TLS)充当工作介质,并在固定温度$ t $上永久与热储层接触。通过结合短词兰科斯(SIL)方法和分析方法,我们研究了线性响应制度中的转换器性能以及从弱耗散到强散开的广泛驱动频率。我们表明,对于我们的理想量子机,存在几个参数范围,其中发生了违反热力学不确定性关系(TUR)的情况。我们发现违规取决于驱动频率和耗散强度,并将其追溯到量子转换器的连贯性程度。我们最终讨论了其他可能的违规来源的影响,例如转换器动态过程中的非马克维亚效应。

We study a model of isothermal steady-state work-to-work converter, where a single quantum two-level system (TLS) driven by time-dependent periodic external fields acts as the working medium and is permanently put in contact with a thermal reservoir at fixed temperature $T$. By combining Short-Iterative Lanczos (SIL) method and analytic approaches, we study the converter performance in the linear response regime and in a wide range of driving frequencies, from weak to strong dissipation. We show that for our ideal quantum machine several parameter ranges exist where a violation of Thermodynamics Uncertainty Relations (TUR) occurs. We find the violation to depend on the driving frequency and on the dissipation strength, and we trace it back to the degree of coherence of the quantum converter. We eventually discuss the influence of other possible sources of violation, such as non-Markovian effects during the converter dynamics.

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