一维自旋链平均场扰动态的自由能量密度
Free energy density for mean field perturbation of states of a one-dimensional spin chain
摘要：
受最近自旋链状态大偏差研究进展的启发，我们重新考虑了Petz，Raggio和Verbeure在1989年关于平均场型微扰下自由能量密度的变分表达式的工作.我们将他们的结果从乘积态推广到有限范围内互作用不变的Gibbs态。在局部忠实量子马尔可夫态的特殊情况下，我们阐明了两种不同的自由能量密度（或压力函数）之间的关系。
英文摘要：
Motivated by recent developments on large deviations in states of the spin chain, we reconsider the work of Petz, Raggio and Verbeure in 1989 on the variational expression of free energy density in the presence of a mean field type perturbation. We extend their results from the product state case to the Gibbs state case in the setting of translation-invariant interactions of finite range. In the special case of a locally faithful quantum Markov state, we clarify the relation between two different kinds of free energy densities (or pressure functions).
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