Magnon dynamics driven by the symplectic quantum metric in a chiral soliton lattice
Abstract
We investigate the effects of quantum geometry on the motion of magnon wave packets in one-dimensional quantum spin chains. In contrast to fermionic systems, where transport phenomena driven by the quantum metric have been extensively studied, we show that the dynamics in bosonic magnon systems are strongly affected by the symplectic structure and the pseudo-unitarity of the transformation of the magnon Bogoliubov-de Gennes Hamiltonian. A chiral soliton lattice provides a setting in which the symplectic quantum metric strongly influences the longitudinal magnon dynamics. We derive the semiclassical response of a magnon wave packet in such a system to a weak, slowly varying perturbation and demonstrate that the wave packet velocity acquires a geometric contribution proportional to the momentum derivative of the symplectic quantum metric, which dominates over the conventional group velocity for a nearly flat band. Solving the resulting equations of motion, we obtain a bounded trajectory in real time with a phase-space area determined by the symplectic quantum metric.
Related
- Near-optimal quantum simulation of lattice Lindbladian dynamics
- Soliton-Lattice Origin of Incommensurability in High-Pressure Antimony
- Nonlinear Magnon Magnetic Moment Transport in Triangular-Lattice f-Wave Antialtermagnets
- Elliptic soliton solutions of lattice eigenfunction equations of the KdV type
- Decoherence-free subspaces in the noisy dynamics of discrete-step quantum walks in a photonic lattice
BibTeX
@misc{chatterjee2026magnon,
title = {{Magnon dynamics driven by the symplectic quantum metric in a chiral soliton lattice}},
author = {Sidhartha Chatterjee and Andreas Haller and Peter P. Orth and Thomas L. Schmidt},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11982},
eprint = {2610.11982},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11982},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Magnon dynamics driven by the symplectic quantum metric in a chiral soliton lattice
AU - Sidhartha Chatterjee
AU - Andreas Haller
AU - Peter P. Orth
AU - Thomas L. Schmidt
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.11982
UR - https://arxiv.org/abs/2610.11982
AB - We investigate the effects of quantum geometry on the motion of magnon wave packets in one-dimensional quantum spin chains. In contrast to fermionic systems, where transport phenomena driven by the quantum metric have been extensively studied, we show that the dynamics in bosonic magnon systems are strongly affected by the symplectic structure and the pseudo-unitarity of the transformation of the magnon Bogoliubov-de Gennes Hamiltonian. A chiral soliton lattice provides a setting in which the symplectic quantum metric strongly influences the longitudinal magnon dynamics. We derive the semiclassical response of a magnon wave packet in such a system to a weak, slowly varying perturbation and demonstrate that the wave packet velocity acquires a geometric contribution proportional to the momentum derivative of the symplectic quantum metric, which dominates over the conventional group velocity for a nearly flat band. Solving the resulting equations of motion, we obtain a bounded trajectory in real time with a phase-space area determined by the symplectic quantum metric.
ER -