关于遍历态、自发对称性破缺和Bogoliubov准平均
On ergodic states, spontaneous symmetry breaking and the Bogoliubov quasi-averages
摘要：
结果表明，Bogoliubov准平均选择纯态或遍历态的热（吉布斯）状态的遍历分解。我们的例子包括量子自旋系统和多体玻色子系统。因此，我们阐明了玻色-爱因斯坦凝聚与连续玻色子系统的准平均自发对称性破缺（SSB）之间的等价性问题。多模扩展的第III型van den Berg-Lewis-Pulé凝聚表明，唯一物理上可靠的量是由Bogoliubov准平均定义的量。
英文摘要：
It is shown that Bogoliubov quasi-averages select the pure or ergodic states in the ergodic decomposition of the thermal (Gibbs) state. Our examples include quantum spin systems and many-body boson systems. As a consequence, we elucidate the problem of equivalence between Bose-Einstein condensation and the quasi-average spontaneous symmetry breaking (SSB) discussed for continuous boson systems. The multi-mode extended van den Berg-Lewis-Pulé condensation of type III demonstrates that the only physically reliable quantities are those that defined by Bogoliubov quasi-averages.
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