PreprintCC BY 4.0arXiv
Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet
Abstract
Spin wave theory plays a central role in the analysis of low-energy properties of the quantum ferromagnetic Heisenberg model. In this work, we present a first step towards a rigorous justification of this approximation in the context of quantum dynamics in one dimension. According to spin wave theory, the evolution of a spin wave state should be well approximated by its free evolution with the appropriate energy of free quasiparticles called magnons. Our main result establishes this idea rigorously for a class of spin wave packets. We focus on spin-1/2 systems, and consider wave packets composed of two magnons. We argue our result is optimal with respect to the timescales.
Related
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BibTeX
@misc{kwasnicki2026dynamics,
title = {{Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet}},
author = {Mateusz Kwaśnicki and Marcin Napiórkowski and Sören Petrat and Michał Pietruszka},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17883},
eprint = {2610.17883},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17883},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet
AU - Mateusz Kwaśnicki
AU - Marcin Napiórkowski
AU - Sören Petrat
AU - Michał Pietruszka
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.17883
UR - https://arxiv.org/abs/2610.17883
AB - Spin wave theory plays a central role in the analysis of low-energy properties of the quantum ferromagnetic Heisenberg model. In this work, we present a first step towards a rigorous justification of this approximation in the context of quantum dynamics in one dimension. According to spin wave theory, the evolution of a spin wave state should be well approximated by its free evolution with the appropriate energy of free quasiparticles called magnons. Our main result establishes this idea rigorously for a class of spin wave packets. We focus on spin-1/2 systems, and consider wave packets composed of two magnons. We argue our result is optimal with respect to the timescales.
ER -