Skip to content
DraconiticResearch
Search Sources API
182,544 studies31 sourcesUpdated 50 min ago
PreprintCC BY 4.0arXiv

Chiral quantum chaos around exponentially many zero modes in the quantum breakdown model

  • Kohei Kawabata
  • Kinya Guan
  • Hosho Katsura
Open at sourcePDFDOICite

Abstract

The quantum breakdown model is a model of randomly interacting fermions, motivated by the physics of dielectric breakdown. Here, we establish classification of symmetry and quantum chaos in a zero-dimensional, all-to-all-interacting version of the quantum breakdown model. It exhibits the ℤ4 periodicity with respect to the number of fermionic modes, reminiscent of the symmetry classification of the Sachdev-Ye-Kitaev model. A unique feature of the quantum breakdown model is that it realizes all the five classes with chiral symmetry and hosts an exponentially large number of many-body zero modes protected by the chiral index. We elucidate the separation and scaling of the spectral gap and demonstrate the symmetry-enriched hard-edge spectral statistics as signatures of quantum chaos in the chiral symmetry classes.

Related

  1. Breakdown of Emergent Chiral Order and Defect Chaos in Nonreciprocal Flocks
    Charlotte Myin, Suropriya Saha, Benoît Mahault
    Physical Review LettersPeer-reviewedCC BYFull textCondensed matterHAL
  2. Evolution and breakdown of chiral anomaly in Weyl semiconductor tellurium
    Zhifeng Xue, Jiaji Zhao, Yi Ji +16
    arXivPreprintCC BY-NC-ND 4.0Full textApplied physics & instrumentationCondensed matterarXiv
  3. A 1/4-BPS chiral algebra in D1D5: from charge concentration to BPS chaos
    Alexandre Belin, Suzanne Bintanja, Alessandra Gnecchi +2
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  4. Onset of Chaos and Orbital Instabilities around Rotating Weyl Black Holes
    Shubham Kala, M. Yousaf, Pradeep Singh +3
    arXivPreprintCC BY 4.0Full textGravitation & general relativityarXiv
  5. Magnetic-field-induced chaos of charged particles around a rotating black hole in a King-type dark matter halo
    Yu Wang, Meilin Liu, Haiguang Xu
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv

Cite

BibTeXRIS
BibTeX
@misc{kawabata2026chiral,
  title = {{Chiral quantum chaos around exponentially many zero modes in the quantum breakdown model}},
  author = {Kohei Kawabata and Kinya Guan and Hosho Katsura},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39404},
  eprint = {2609.39404},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39404},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Chiral quantum chaos around exponentially many zero modes in the quantum breakdown model
AU  - Kohei Kawabata
AU  - Kinya Guan
AU  - Hosho Katsura
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39404
UR  - https://arxiv.org/abs/2609.39404
AB  - The quantum breakdown model is a model of randomly interacting fermions, motivated by the physics of dielectric breakdown. Here, we establish classification of symmetry and quantum chaos in a zero-dimensional, all-to-all-interacting version of the quantum breakdown model. It exhibits the ℤ_4 periodicity with respect to the number of fermionic modes, reminiscent of the symmetry classification of the Sachdev-Ye-Kitaev model. A unique feature of the quantum breakdown model is that it realizes all the five classes with chiral symmetry and hosts an exponentially large number of many-body zero modes protected by the chiral index. We elucidate the separation and scaling of the spectral gap and demonstrate the symmetry-enriched hard-edge spectral statistics as signatures of quantum chaos in the chiral symmetry classes.
ER  -