论文标题
孤立的可集成量子系统中的非交换性广义吉布斯集合
Noncommutative generalized Gibbs ensemble in isolated integrable quantum systems
论文作者
论文摘要
广义的吉布斯集团（GGE）涉及多个保守量以外的多个保守量，它是几种孤立的可综合量子系统的长期行为的统计机械描述。鉴于最大熵原理，GGE可能涉及一组非交换量的保守量，并表明GGE因此概括（非交换性GGE，NCGGE）对长期行为的定义上比常规GGE的行为更为准确地描述。提供清楚的理解（NC）GGE为什么很好地描述了长期行为，我们为非互动模型构建了确切的NCGGE，即使在有限的系统大小下也没有错误的ncgge，它描述了长期行为而没有错误。值得注意的是，NCGGE涉及非本地保守量，这对于描述局部可观察物的长期行为是必不可少的。我们还提供了NCGGE的一些扩展，并证明了它们描述了几体可观察的长期行为的准确性。
The generalized Gibbs ensemble (GGE), which involves multiple conserved quantities other than the Hamiltonian, has served as the statistical-mechanical description of the long-time behavior for several isolated integrable quantum systems. The GGE may involve a noncommutative set of conserved quantities in view of the maximum entropy principle, and show that the GGE thus generalized (noncommutative GGE, NCGGE) gives a more qualitatively accurate description of the long-time behaviors than that of the conventional GGE. Providing a clear understanding of why the (NC)GGE well describes the long-time behaviors, we construct, for noninteracting models, the exact NCGGE that describes the long-time behaviors without an error even at finite system size. It is noteworthy that the NCGGE involves nonlocal conserved quantities, which can be necessary for describing long-time behaviors of local observables. We also give some extensions of the NCGGE and demonstrate how accurately they describe the long-time behaviors of few-body observables.
