Non-Equilibrium Steady States of Finite¶Quantum Systems Coupled to Thermal Reservoirs
Non-Equilibrium Steady States of Finite¶Quantum Systems Coupled to Thermal Reservoirs
复制标题
耦合到热库的有限量子系统的非平衡稳态
DOI：
10.1007/s002200200602
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发表时间：
2002
影响因子：
2.4
通讯作者：
C. Pillet
中科院分区：
文献类型：
--
作者：
V. Jaksic;C. Pillet
研究了两个相互独立的自由费米库？1，？2耦合的二能级量子系统？1，？2的非平衡统计力学，证明了在较小的耦合下，组合量子系统？+？1+？2存在唯一的非平衡定态(NESS)，并且达到这个非平衡定态的方法是指数快的。我们证明了耦合系统的熵产生是严格正的，并将其与通过系统的热通量联系起来。我们的部分论证是一般的，并且涉及Ness的谱理论。在代数量子统计力学的抽象背景下，我们引入了C-Liouvillean的新概念L，并将Ness与L~*的零共振本征函数联系起来。在具体的模型中，我们使用作者先前在[jp1]中开发的复形变技术来研究L*的共振性。在Jean Michel Combes六十岁生日之际
We study the non-equilibrium statistical mechanics of a 2-level quantum system, ?, coupled to two independent free Fermi reservoirs ?1, ?2, which are in thermal equilibrium at inverse temperatures β1≠β2. We prove that, at small coupling, the combined quantum system ?+?1+?2has a unique non-equilibrium steady state (NESS) and that the approach to this NESS is exponentially fast. We show that the entropy production of the coupled system is strictly positive and relate this entropy production to the heat fluxes through the system.A part of our argument is general and deals with spectral theory of NESS. In the abstract setting of algebraic quantum statistical mechanics we introduce the new concept of theC-Liouvillean,L, and relate the NESS to zero resonance eigenfunctions ofL*. In the specific model ?+?1+?2we study the resonances ofL*using the complex deformation technique developed previously by the authors in [JP1].Dedicated to Jean Michel Combes on the occasion of his sixtieth birthday