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Spontaneous Chirality and Collective Chern Bands in a Dipole-Conserving Bose System

Abstract

We demonstrate spontaneous chiral dipole order and an isolated collective Chern band in a time-reversal-symmetric microscopic bosonic lattice model with exact dipole-moment conservation. In a controlled large-occupation limit at zero temperature, frustrated dipole exchange and three-particle conversion stabilize two time-reversed chiral condensates. The two dipole Goldstone modes remain gapless, while a separate finite-frequency band carries Chern numbers −1 and +1 in the opposite domains. We trace this topology to complex mode couplings in the chiral background that gap finite-frequency Dirac crossings. Site-resolved density drives preserve dipole-moment conservation and reconstruct the band Chern number from band-resolved absorption spectra in the quadratic theory.

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BibTeX
@misc{yue2026spontaneous,
  title = {{Spontaneous Chirality and Collective Chern Bands in a Dipole-Conserving Bose System}},
  author = {Yan-Guang Yue and Jie Lou and Yan Chen},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00954},
  eprint = {2611.00954},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00954},
}
RIS
TY  - UNPB
TI  - Spontaneous Chirality and Collective Chern Bands in a Dipole-Conserving Bose System
AU  - Yan-Guang Yue
AU  - Jie Lou
AU  - Yan Chen
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00954
UR  - https://arxiv.org/abs/2611.00954
AB  - We demonstrate spontaneous chiral dipole order and an isolated collective Chern band in a time-reversal-symmetric microscopic bosonic lattice model with exact dipole-moment conservation. In a controlled large-occupation limit at zero temperature, frustrated dipole exchange and three-particle conversion stabilize two time-reversed chiral condensates. The two dipole Goldstone modes remain gapless, while a separate finite-frequency band carries Chern numbers −1 and +1 in the opposite domains. We trace this topology to complex mode couplings in the chiral background that gap finite-frequency Dirac crossings. Site-resolved density drives preserve dipole-moment conservation and reconstruct the band Chern number from band-resolved absorption spectra in the quadratic theory.
ER  -