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arXiv 2409.02559quant-phcond-mat.mes-hallcond-mat.quant-gascond-mat.stat-mechcond-mat.str-el
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量子热力学的热密度泛函理论方法

Thermal density functional theory approach to quantum thermodynamics

Antonio Palamara, Francesco Plastina, Antonello Sindona, Irene D'Amico

AI总结:

本文提出用热密度泛函理论提取有限温度量子淬火中功的统计与不可逆熵,并将其表示为热平衡和非平衡密度的泛函,进而在非均匀Hubbard模型中揭示了相互作用与外势对热力学性质的不同影响。

摘要:

理解多体量子系统的热力学性质及其从微观定律中的涌现,是一个具有深远基础意义和广泛实际应用的重要课题。近年来,控制和制备这类系统的实验技术不断进步,激发了人们对这一领域的更大兴趣,因为这些进展有潜力推动量子技术的发展。在本研究中,我们提出一种密度泛函理论方法,用以提取有限温度下量子淬火所对应的功的统计信息和不可逆熵的详细信息。具体而言,我们证明这些量可以表示为热平衡密度和非平衡密度的泛函,而这些密度可以作为理解有限温度多体过程的基本变量。随后,我们将该方法应用于非均匀Hubbard模型,结果表明,我们基于密度泛函理论的方法能够有效揭示相互作用和外势对该系统热力学性质的不同作用。

英文摘要:

Understanding the thermodynamic properties of many-body quantum systems and their emergence from microscopic laws is a topic of great significance due to its profound fundamental implications and extensive practical applications. Recent advances in experimental techniques for controlling and preparing these systems have increased interest in this area, as they have the potential to drive the development of quantum technologies. In this study, we present a density-functional theory approach to extract detailed information about the statistics of work and the irreversible entropy associated with quantum quenches at finite temperature. Specifically, we demonstrate that these quantities can be expressed as functionals of thermal and out-of-equilibrium densities, which may serve as fundamental variables for understanding finite-temperature many-body processes. We, then, apply our method to the case of the inhomogeneous Hubbard model, showing that our density functional theory based approach can be usefully employed to unveil the distinctive roles of interaction and external potential on the thermodynamic properties of such a system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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