超低密度系统中的量子猝灭和功分布
Quantum quenches and work distributions in ultra-low-density systems
摘要：
我们给出了在大区域内具有固定数量粒子的系统中量子猝灭的结果。我们发现，在这个低密度的限制，本地和全球淬火系统中存在的常规热力学极限之间的典型差异是缺乏。特别是，我们表明，在这种限制本地淬火可能不会导致平衡到新的基态，全球淬火可以有幂律的工作分布（“边缘奇点”）通常与本地淬火有限密度系统。我们还表明，这种制度允许大的边缘奇异性指数超出通常的热力学极限的约束所允许的。这种大指数奇异性在时间演化中具有可观察到的后果，导致时间上明显的中间幂律状态。我们证明了这些结果首先使用本地量子猝灭在低密度近藤样系统，并通过全球和本地猝灭在玻色哈伯德，奥布里安德烈，和硬核玻色子系统在低密度制度。
英文摘要：
We present results on quantum quenches in systems with a fixed number of particles in a large region. We show that the typical differences between local and global quenches present in systems with regular thermodynamic limit are lacking in this low-density limit. In particular, we show that in this limit local quenches may not lead to equilibration to the new ground state, and that global quenches can have power-law work distributions ("edge singularities") typically associated with local quenches for finite-density systems. We also show that this regime allows for large edge singularity exponents beyond that allowed by the constraints of the usual thermodynamic limit. This large-exponent singularity has observable consequences in the time evolution, leading to a distinct intermediate power-law regime in time. We demonstrate these results first using local quantum quenches in a low-density Kondo-like system, and additionally through global and local quenches in Bose-Hubbard, Aubry-Andre, and hard-core boson systems in the low-density regime.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
