论文标题
重复相互作用量子系统中的线性响应理论和熵波动
Linear response theory and entropic fluctuations in repeated interaction quantum systems
论文作者
论文摘要
我们研究有限尺寸非平衡重复相互作用系统（RIS）的线性响应理论和熵波动。更确切地说，在探针的温度可以采用有限数量的不同值的情况下，我们证明了绿色kubo波动 - 散落公式的类似物和能量通量可观察到的Onsager互惠关系。然后，我们证明了一个较大的偏差原理或波动定理，以及有关熵通量的完整计数统计的中心限制定理。我们考虑两种类型的非平衡性RIS：探针的温度是确定性的，并以环状方式到达，或者探针的温度由I.I.D的顺序描述。随机变量在有限集中具有均匀分布。
We study Linear Response Theory and Entropic Fluctuations of finite dimensional non-equilibrium repeated interaction systems (RIS). More precisely, in a situation where the temperatures of the probes can take a finite number of different values, we prove analogs of the Green-Kubo fluctuation-dissipation formula and Onsager reciprocity relations on energy flux observables. Then we prove a Large Deviation Principle, or Fluctuation Theorem, and a Central Limit Theorem on the full counting statistics of entropy fluxes. We consider two types of non-equilibrium RIS: either the temperatures of the probes are deterministic and arrive in a cyclic way, or the temperatures of the probes are described by a sequence of i.i.d. random variables with uniform distribution over a finite set.
