XY链失平衡时从微观到范霍夫区
From the microscopic to the van Hove regime in the XY chain out of equilibrium
摘要：
利用严格的代数量子统计力学框架，在各向同性XY链中构造了唯一的非平衡稳态，其中任意有限大小的样品通过任意强度的键耦合微扰耦合到两个无限延伸的热库，并证明了该态是热力学非平凡的.此外，提取其微观熵产生的主导二级贡献，并推导其在van Hove弱耦合制度的熵产生，我们证明，在数学和物理上重要的XY链，van Hove制度再现的主导级贡献的微观制度。
英文摘要：
Using the framework of rigorous algebraic quantum statistical mechanics, we construct the unique nonequilibrium steady state in the isotropic XY chain in which a sample of arbitrary finite size is coupled by a bond coupling perturbation of arbitrary strength to two infinitely extended thermal reservoirs, and we prove that this state is thermodynamically nontrivial. Moreover, extracting the leading second order contribution to its microscopic entropy production and deriving its entropy production in the van Hove weak coupling regime, we prove that, in the mathematically and physically important XY chain, the van Hove regime reproduces the leading order contribution to the microscopic regime.
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