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Thermodynamic uncertainty relation in quantum thermoelectric junctions

机译：量子热电结中的热力学不确定性关系

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摘要

Recently,a thermodynamic uncertainty relation (TUR) has been formulated for classical Markovian systems demonstrating trade-off between precision (current fluctuation) and cost (dissipation).Systems that violate the TUR are interesting as they overcome another trade-off relation concerning the efficiency of a heat engine,its power,and its stability (power fluctuations).Here,we analyze the root,extent,and impact on performance of TUR violations in quantum thermoelectric junctions at steady state.Considering noninteracting electrons,first we show that only the "classical" component of the current noise,arising from single-electron transfer events,follows the TUR.The remaining,"quantum" part of current noise is therefore responsible for the potential violation of the TUR in such quantum systems.Next,focusing on the resonant transport regime we determine the parameter range in which the violation of the TUR can be observed-for both voltage-biased junctions and thermoelectric engines.We illustrate our findings with exact numerical simulations of a serial double quantum dot system.Most significantly,we demonstrate that the TUR always holds in noninteracting thermoelectric generators when approaching the thermodynamic efficiency limit.
机译：最近，已经制定了一种展示精度（当前波动）和成本之间进行权衡的经典马尔维亚系统的热力学不确定性关系（TUR），违反TUR的系统之间有趣的是，他们克服了关于效率的另一种权衡关系热力发动机，其功率及其稳定性（功率波动）。：Where，我们分析了根本，范围，对稳态热电联阵中的TUR违规的影响。不交互式电子，首​​先表明只有从单电子转移事件引起的当前噪声的“经典”组件遵循Tur。因此，当前噪声的剩余“量子”部分是负责在这种量子系统中的潜在侵犯Tur的潜在侵犯.Next，专注于谐振传输制度我们确定可以观察到突出的压力突出的参数范围 - 用于电压偏置的连接和热电发动机。我们生病了USITTER具有串行双量子点系统的精确数值模拟。最重要的是，我们展示了在接近热力学效率限制时始终在非交互式热电发电机中持有。

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