论文标题
Schrieffer-Wolff转换及其概括的系统方法
A systematic method for Schrieffer-Wolff transformation and its generalizations
论文作者
论文摘要
Schrieffer-Wolff转化广泛用于量子多体物理学中，以计算低能量有效的哈密顿量。它提供了一种扰动方法，可以理解量子多体模型的强耦合方案中的重新归一化效应。 Schrieffer-Wolff转换的发电机是使用启发式方法计算的。对于这种非常重要的转换，具有严格，系统和简单的方法是非常需要的。在本文中，我们提出了这种方法。我们通过将其应用于来自各个领域的几个众所周知的模型，例如强相关的电子系统，量子光学和空腔量子电动力学来证明我们的方法。我们的方法可以应用于广泛的量子多体汉密尔顿人。
Schrieffer-Wolff transformation is extensively used in quantum many-body physics to calculate the low energy effective Hamiltonian. It offers a perturbative method to understand the renormalization effects in the strong coupling regime of the quantum many-body models. The generator for Schrieffer-Wolff transformation is calculated using heuristic methods. It is highly desirable to have a rigorous, systematic and simple method for the calculation of generator for this highly important transformation. In this paper, we put forward such a method. We demonstrate our method by applying it to few well-known models from various fields like strongly correlated electron systems, quantum optics and cavity quantum electrodynamics. Our method can be applied to a broad class of quantum many-body Hamiltonians.
