远离平衡态Stationary States中的纠缠
Entanglement in Far From Equilibrium Stationary States
摘要：
我们提出了四个估计的纠缠（或相互依赖）的基态，其中的系数都是真正的非负的，因此可以被解释为概率的配置。厄米和非厄米哈密顿算符的基态可以通过价键态的叠加给出，价键态可以描述随机模型的平衡态和稳态。我们仔细考虑最后一种情况。使用分析和数值方法，我们比较了有向聚合物和提高和剥离模型，其中有大量的，共形不变和非共形不变的无质量阶段的估计值。我们表明，就像在量子问题的情况下，估计验证面积法，因此可以用来在稳态信号相变。
英文摘要：
We present four estimators of the entanglement (or interdepency) of ground-states in which the coefficients are all real nonnegative and therefore can be interpreted as probabilities of configurations. Such ground-states of hermitian and non-hermitian Hamiltonians can be given, for example, by superpositions of valence bond states which can describe equilibrium but also stationary states of stochastic models. We consider in detail the last case. Using analytical and numerical methods we compare the values of the estimators in the directed polymer and the raise and peel models which have massive, conformal invariant and non-conformal invariant massless phases. We show that like in the case of the quantum problem, the estimators verify the area law and can therefore be used to signal phase transitions in stationary states.
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