论文标题
在许多身体系统中，局部放松期间的相关性熵产生，并具有ISING相互作用
The correlational entropy production during the local relaxation in a many body system with Ising interactions
论文作者
论文摘要
孤立的量子系统遵循统一的演变，该系统保证了整个身体状态总是将熵保持为最初的熵。相比之下，局部子系统表现出松弛行为，并朝某些稳态发展，这称为局部放松。在这里，我们考虑了有限的许多身体系统的局部动力学，并具有ISIND相互作用。在强耦合和弱耦合情况下，局部可观察结果表现出与宏观热力学相似的弛豫行为。由于有限的尺寸效果，在一定的典型时间后出现复发。尤其是，我们发现该系统的总相关性大致在强和弱耦合病例中都表现出单调增加的包络，这与标准宏观热力学中不可逆的熵产生相对应。此外，在适当约束下计算的这种总相关的可能最大值也与时间相关演变的确切结果很好。
Isolated quantum systems follow the unitary evolution, which guarantees the full many body state always keeps a constant entropy as its initial one. In comparison, the local subsystems exhibit relaxation behavior and evolve towards certain steady states, which is called the local relaxation. Here we consider the local dynamics of finite many body system with Ising interaction. In both strong and weak coupling situations, the local observables exhibit similar relaxation behavior as the macroscopic thermodynamics; due to the finite size effect, recurrence appears after a certain typical time. Especially, we find that the total correlation of this system approximately exhibits a monotonic increasing envelope in both strong and weak coupling cases, which corresponds to the irreversible entropy production in the standard macroscopic thermodynamics. Moreover, the possible maximum of such total correlation calculated under proper constraints also coincides well with the exact result of time dependent evolution.
