A systematic method for Schrieffer-Wolff transformation and its generalizations
Abstract
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.
Cite
@article{arxiv.2004.06534,
title = {A systematic method for Schrieffer-Wolff transformation and its generalizations},
author = {Rukhsan Ul Haq and Keshav Singh},
journal= {arXiv preprint arXiv:2004.06534},
year = {2020}
}
Comments
12 pages, first version of the paper. Comments and feedback will be highly appreciated. arXiv admin note: substantial text overlap with arXiv:1901.08617