Venzl Hannah, Daley Andrew J, Mintert Florian, Buchleitner Andreas
Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 May;79(5 Pt 2):056223. doi: 10.1103/PhysRevE.79.056223. Epub 2009 May 26.
We show that the transition from regular to chaotic spectral statistics in interacting many-body quantum systems has an unambiguous signature in the distribution of Schmidt coefficients dynamically generated from a generic initial state, and thus limits the efficiency of the time-dependent density-matrix renormalization-group algorithm. We investigate this mechanism on the tilted Bose-Hubbard model; however the emergence of universal spectral properties allows translation of our conclusions to generic many-body quantum systems.
我们表明，在相互作用的多体量子系统中，从规则光谱统计到混沌光谱统计的转变，在由一般初始态动态生成的施密特系数分布中具有明确的特征，从而限制了含时密度矩阵重整化群算法的效率。我们在倾斜的玻色 - 哈伯德模型上研究了这种机制；然而，普遍光谱特性的出现使我们能够将结论推广到一般的多体量子系统。
