An Ergodic Description of Ground States
An Ergodic Description of Ground States
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基态的遍历描述
DOI：
10.1007/s10955-014-1139-z
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发表时间：
2015
影响因子：
1.6
通讯作者：
P. Thieullen
中科院分区：
文献类型：
--
作者：
E. Garibaldi;P. Thieullen
给定一个不变量哈密顿量，晶格上的基态是一种构型，其能量（相对于计算）不能通过改变有限数量的位置上的状态而降低。由这些组态构成的集合是双线性不变的。给定一个定义在构形空间上的可观测量，极小化测度是一个使平均最小化的不变概率。如果是平均贡献的所有相互作用的网站，我们表明，任何配置的支持的最小化措施，必然是一个基态。
Given a translation-invariant Hamiltonian, a ground state on the latticeis a configuration whose energy, calculated with respect to, cannot be lowered by altering its states on a finite number of sites. The set formed by these configurations is translation-invariant. Given an observabledefined on the space of configurations, a minimizing measure is a translation-invariant probability which minimizes the average of. Ifis the mean contribution of all interactions to the site, we show that any configuration of the support of a minimizing measure is necessarily a ground state.