Floquet-engineered Emergent Massive Nambu-Goldstone Modes
Abstract
We present a general framework to implement massive Nambu-Goldstone quasi-particles in driven many-body systems. The underlying mechanism leverages an explicit Lie group structure imprinted into an effective Hamiltonian that governs the dynamics of slow degrees of freedom; the resulting emergent continuous symmetry is weakly explicitly broken, giving rise to a massive Nambu-Goldstone mode, with a spectral mass gap scaling linearly with the drive period. We discuss explicit and experimentally implementable realizations, such as Heisenberg-like spin models that support gapped spin-wave excitations. We provide a protocol to certify the existence of the massive Nambu-Goldstone mode from the dynamics of specific observables, and analyse the dispersion spectrum and their lifetime in the presence of weak explicit symmetry breaking.
Cite
@article{arxiv.2409.01902,
title = {Floquet-engineered Emergent Massive Nambu-Goldstone Modes},
author = {Yang Hou and Zhanpeng Fu and Roderich Moessner and Marin Bukov and Hongzheng Zhao},
journal= {arXiv preprint arXiv:2409.01902},
year = {2025}
}