Cluster Condensation and Symmetry-Protected Thermal Rigidity of Bose gases on the Haldane Sphere
Abstract
We show that a spinless Bose gas on a Haldane sphere with a small monopole charge q realizes, in the lowest Landau level (LLL), an exactly solvable SU(2)-protected cluster condensate: a Hafnian condensate of two-boson singlets for q=1, analogous to resonating-valence-bond singlet coverings, and a four-boson singlet condensate for q=3/2. Unlike topologically protected quantum Hall states, the exactness of these states relies only on SU(2) symmetry and repulsiveness, with no pseudopotential fine-tuning. Their SU(2)-protected degeneracy renders the single-particle correlations exactly temperature-independent even as the clusters dissociate, a thermal rigidity absent in conventional Bose--Einstein condensates (BECs). Increasing the interaction drives a transition to a vortex BEC with spontaneously broken rotational symmetry.
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BibTeX
@misc{wang2026cluster,
title = {{Cluster Condensation and Symmetry-Protected Thermal Rigidity of Bose gases on the Haldane Sphere}},
author = {Meng-Jie Wang and Jun-Hui Zheng},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.02799},
eprint = {2611.02799},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.02799},
}
RIS
TY - UNPB
TI - Cluster Condensation and Symmetry-Protected Thermal Rigidity of Bose gases on the Haldane Sphere
AU - Meng-Jie Wang
AU - Jun-Hui Zheng
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.02799
UR - https://arxiv.org/abs/2611.02799
AB - We show that a spinless Bose gas on a Haldane sphere with a small monopole charge q realizes, in the lowest Landau level (LLL), an exactly solvable SU(2)-protected cluster condensate: a Hafnian condensate of two-boson singlets for q=1, analogous to resonating-valence-bond singlet coverings, and a four-boson singlet condensate for q=3/2. Unlike topologically protected quantum Hall states, the exactness of these states relies only on SU(2) symmetry and repulsiveness, with no pseudopotential fine-tuning. Their SU(2)-protected degeneracy renders the single-particle correlations exactly temperature-independent even as the clusters dissociate, a thermal rigidity absent in conventional Bose--Einstein condensates (BECs). Increasing the interaction drives a transition to a vortex BEC with spontaneously broken rotational symmetry.
ER -