Correction to: Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices
Correction to: Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices
复制标题
修正：一维格中行列式和普法夫相关函数的衰减
DOI：
10.1007/s00220-016-2612-0
复制
发表时间：
2018
影响因子：
2.4
通讯作者：
S. Warzel
中科院分区：
文献类型：
--
作者：
R. Sims;S. Warzel
根据一维准自由费米子的两点函数的衰变性质，建立了一维准自由费米子的含时多点关联泛函的衰变界。在技术层面上，这是在某些有界行列式和pfdegans上的界限的帮助下完成的。这些界限，我们证明，超越了著名的阿达玛估计。这些结果的主要应用是证明了无序XY自旋链中自旋相关函数的强（指数）动力学局域化。
We establish bounds on the decay of time-dependent multipoint correlation functionals of one-dimensional quasi-free fermions in terms of the decay properties of their two-point function. At a technical level, this is done with the help of bounds on certain bordered determinants and pfaffians. These bounds, which we prove, go beyond the well-known Hadamard estimates. Our main application of these results is a proof of strong (exponential) dynamical localization of spin-correlation functions in disorderedXY-spin chains.