发表机构
Pontificia Universidad Católica de Valparaíso; Universidad Técnica Federico Santa María; Okinawa Institute of Science and Technology Graduate University; Universidad San Sebastián(智利天主教瓦帕拉索大学; 费德里科·圣玛丽亚技术大学; 冲绳科学技术大学院大学; 圣塞巴斯蒂安大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文提出一种基于BCS-BEC交叉处费米气体的量子统计热机,利用相互作用提取功,结合奥托与卡诺循环特性,效率可达38%,并可调谐为热机、制冷机等,揭示配对关联作为热力学资源。
AI 中文摘要
我们提出一种基于具有s波接触相互作用的两组分费米气体的量子热机,该热机在BCS-BEC交叉处运行。功是从气体的统计性质中提取的,这些性质由相互作用控制,而非仅仅依赖于压缩和膨胀阶段。利用泛函重整化群形式,我们获得了沿交叉处的非微扰形式的状态方程,涵盖了超流-正常相变。该循环结合了等熵密度冲程、等容热化和等温相互作用扫描。这种构造使得整合奥托循环和卡诺循环的特征成为可能,其中系统同时饱和两种效率极限而净功不为零。在没有密度变化的情况下,该循环简化为统计斯特林类热机,其中产生的功完全来自相互作用,效率高达$38\%$。通过交叉处出现显著的不对称性,根据在相图中遵循的轨迹产生不同的运行状态。因此,相同的架构可以被调谐为热机、制冷机、加速器或加热器。这些发现突显了配对关联作为量子热机的多功能热力学资源。
英文摘要
We propose a quantum heat engine based on a two-component Fermi gas with s-wave contact interaction, operating across the BCS-BEC crossover. The work is extracted from the statistical properties of the gas, which are controlled by the interaction, rather than relying solely on compression and expansion stages. Using the functional renormalization group formalism, we obtain the equation of state in a non-perturbative form along the crossover, encompassing the superfluid-normal phase transition. The cycle combines isentropic density strokes, isochoric thermalization, and isothermal interaction sweeps. This construction makes it possible to integrate features of both Otto and Carnot cycles, in which the system simultaneously saturates both efficiency limits without the net work vanishing. In the absence of density variations, the cycle reduces to a statistical Stirling-like engine, in which the work generated arises exclusively from the interaction, achieving efficiencies up to $38\%$. A pronounced asymmetry emerges through the crossover, giving rise to distinct operating regimes depending on the trajectory followed in the phase diagram. Consequently, the same architecture can be tuned to function as an engine, refrigerator, accelerator, or heater. These findings highlight pairing correlations as a versatile thermodynamic resource for quantum heat machines.
Comments14 pages, 10 figures