Metastability, chaos and spectrum tomography for Bose-Hubbard rings and chains
Quantum Physics
2026-04-14 v2 Mesoscale and Nanoscale Physics
Abstract
We analyze the metastability of Bose-Hubbard condensates for finite-size one-dimensional ring lattices and open chains, using a semiclassical tomographic perspective that emphasizes the relation of the many-body spectrum to the underlying classical phase-space structures. This constitutes an arena for inspection of quantum ergodicity and localization, in far-from-equilibrium scenarios of experimental interest. Both local aspects (via Bogoliubov analysis) and global aspects (by inspecting the mixed regular-chaotic dynamics) are addressed. We also clarify how chaos is diminished in the limit of the Gross-Pitaevskii equation.
Keywords
Cite
@article{arxiv.2603.23109,
title = {Metastability, chaos and spectrum tomography for Bose-Hubbard rings and chains},
author = {Rajat and Doron Cohen},
journal= {arXiv preprint arXiv:2603.23109},
year = {2026}
}
Comments
23 pages, 18 figures, additional refs and some upgraded figures