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arXiv 1703.02460quant-phcond-mat.mtrl-scicond-mat.str-el
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量子热力学的DFT启发方法

DFT-inspired methods for quantum thermodynamics

Marcela Herrera, Roberto M. Serra, Irene D'Amico

摘要:

在量子热力学框架下,提出了一种定量描述非平衡相互作用多体系统热力学量的方法。该方法在各种近似协议中被阐明,其允许实现增加的准确度水平,即使对于中等和大量的相互作用的粒子,也相对简单地实现,并且使用来自密度泛函理论的工具和概念。我们测试的方法上驱动哈伯德二聚体在半填充,并比较精确和近似的结果。我们表明,所提出的方法再现的平均量子工作,以高精度:对于一个非常大的区域的参数空间(它跨越所有的动力学制度)的估计是在10%的准确结果。

英文摘要:

In the framework of quantum thermodynamics, we propose a method to quantitatively describe thermodynamic quantities for out-of-equilibrium interacting many-body systems. The method is articulated in various approximation protocols which allow to achieve increasing levels of accuracy, it is relatively simple to implement even for medium and large number of interactive particles, and uses tools and concepts from density functional theory. We test the method on the driven Hubbard dimer at half filling, and compare exact and approximate results. We show that the proposed method reproduces the average quantum work to high accuracy: for a very large region of parameter space (which cuts across all dynamical regimes) estimates are within 10% of the exact results.

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