论文标题
可集成系统和自旋flip无变形的保守量中的非平衡物理
Nonequilibrium physics in integrable systems and spin-flip non-invariant conserved quantities
论文作者
论文摘要
最近发现，自旋挡板非不变（SFNI）保守量在讨论XXZ模型的非平衡物理学中起着重要作用。代表性的例子是广义吉布斯集合（GGE）和自旋电流的弹道传输。尽管在理解可集成系统的非平衡物理学方面取得了巨大进展，但确定最少完整的保守量的一般框架，尚未找到描述长期稳态的保守量。本文表明，无间隙XXZ模型的GGE由功能独立的保守量组成，而不是线性独立。同时，提供了SFNI保守数量的物理含义。我们还讨论了由非Quasilocal保守量支持的自旋电流的弹道通道。通过准保守量的DRUDE重量的下限饱和读取了非质量保守量对准核心的线性依赖性。我们表明，它们（广义）线性依赖关系与GGE由功能独立的保守量组成而不包含所有线性独立的保守量的陈述是一致的。
Recently found spin-flip non-invariant (SFNI) conserved quantities play important roles in discussing nonequilibrium physics of the XXZ model. The representative examples are the generalized Gibbs ensemble (GGE) and the ballistic transport of the spin current. In spite of big progress in understanding nonequilibrium physics of integrable systems, the general framework to determine a minimal complete set of conserved quantities which describes the long-time steady state has not yet been found. This paper shows that the GGE of the gapless XXZ model consists of functionally independent conserved quantities rather than linearly independent. At the same time, the physical meaning of SFNI conserved quantities is provided. We also discuss that there exist ballistic channels of the spin current supported by non-quasilocal conserved quantities. The saturation of the lower bound for the Drude weight by quasilocal conserved quantities reads the linear dependence of non-quasilocal conserved quantities on quasilocal ones. We show that their (generalized) linearly dependence relation is consistent with the statement that the GGE consists of functionally independent conserved quantities without containing all linearly independent conserved quantities.
