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arXiv 2303.15420cond-mat.mes-hall
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非几何泵浦效应对相互作用量子点热机性能的影响

Non-geometric pumping effects on the performance of interacting quantum-dot heat engines

Juliette Monsel, Jens Schulenborg, Janine Splettstoesser

AI总结:

本研究探讨周期性驱动量子点热机中非几何泵浦效应,发现最优冷却功率在弱相互作用下保持恒定,而功成本受电荷弛豫率影响,决定了接近最优性能的频率上限。

摘要:

周期性驱动的量子点可以作为纳米尺度循环热机的对应物。在几何泵浦的慢驱动 regime 中,此类机器已被证明其运行方式类似于卡诺循环。为了增加冷却功率而需要采用更大的驱动频率时,运行效率会降低。接近最优性能仍可能保持的频率上限取决于量子点内电子-电子相互作用的强度和符号。在我们之前关于循环量子点制冷机的详细研究[Phys. Rev. B 106, 035405 (2022)]的基础上,我们在此发现,与冷浴温度相比,在弱相互作用强度下,最优冷却功率保持恒定。相反,功成本通过量子点的电荷弛豫率依赖于相互作用,因为后者设定了非几何泵浦贡献开始出现的典型驱动频率。

英文摘要:

Periodically driven quantum dots can act as counterparts of cyclic thermal machines at the nanoscale. In the slow-driving regime of geometric pumping, such machines have been shown to operate in analogy to a Carnot cycle. For larger driving frequencies, which are required in order to increase the cooling power, the efficiency of the operation decreases. Up to which frequency a close-to-optimal performance is still possible depends on the magnitude and sign of on-site electron-electron interaction. Extending our previous detailed study on cyclic quantum-dot refrigerators [Phys. Rev. B 106, 035405 (2022)], we here find that the optimal cooling power remains constant up to weak interaction strength compared to the cold-bath temperature. By contrast, the work cost depends on the interaction via the dot's charge relaxation rate, as the latter sets the typical driving frequency for the onset of non-geometric pumping contributions.

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