自相似连续酉变换中的截断误差
Truncation errors in self-similar continuous unitary transformations
摘要：
严格估计了自相似连续酉变换（S-CUT）中截断的影响。我们找到了一个正式的描述，通过一个非齐次流方程。通过这种方式，我们能够量化截断误差的框架内的S-CUT和获得严格的误差界的基态能量和最高激发能级。这些界限可以降低利用对称性的哈密尔顿。我们说明我们的方法与两个相互作用的硬核玻色子和二聚S=1/2海森堡链的玩具模型的结果。
英文摘要：
Effects of truncation in self-similar continuous unitary transformations (S-CUT) are estimated rigorously. We find a formal description via an inhomogeneous flow equation. In this way, we are able to quantify truncation errors within the framework of the S-CUT and obtain rigorous error bounds for the ground state energy and the highest excited level. These bounds can be lowered exploiting symmetries of the Hamiltonian. We illustrate our approach with results for a toy model of two interacting hard-core bosons and the dimerized S=1/2 Heisenberg chain.
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