Author

Kohei Kawabata

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Preprint Sep 2026

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

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 $\mathbb{Z}_4$ periodicity with...

Kohei Kawabata, Kin-Ya Guan, H. Katsura · 0 citations

Preprint Oct 2026

Interacting quantum criticality with U(1) symmetry breaking in 1+1 dimensions

The Hohenberg-Mermin-Wagner theorem motivates the expectation that continuous symmetries remain unbroken in one-dimensional quantum ground states. Here, contrary to this expectation, we demonstrate the spontaneous breaking of U(1) spin-rotation symmetry and the emergence of an interacting quantum critical point in latt...

Mutsumi Shimomura, Kohei Kawabata · 0 citations

Preprint Sep 2026

Exact probability distributions of complex spacing ratios in non-Hermitian random matrices

The complex spacing ratio is the complex displacement from a reference eigenvalue to its nearest neighbor divided by the corresponding displacement to its next-to-nearest neighbor. Its statistics provide a useful diagnostic of spectral correlations and nonintegrability in open quantum systems. Here, starting from the e...

Kohei Kawabata · 0 citations