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Open Quantum Systems Decoherence Quantum Simulation

Chaos-Integrability Transition in the BPS Subspace of the mathcal{N}=2 SYK Model

arXiv
Authors: Leon Miyahara, Shono Shibuya

Year

2026

Paper ID

63625

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

0

Abstract

We study chaos-integrability transition purely within a BPS subspace of a specific supersymmetric model that interpolates between the chaotic mathcal{N}=2 SYK model and an integrable mathcal{N}=2 "commuting" SYK model. Using the framework of BPS chaos, we analyze the spectrum of an operator projected onto the BPS subspace. We numerically find that its spectral statistics exhibit random-matrix behavior near the SYK limit and smoothly transitions to Poisson statistics near the integrable limit. Our results provide a direct example of a chaos-integrability crossover diagnosed solely from BPS states.

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  • We study chaos-integrability transition purely within a BPS subspace of a specific supersymmetric model that interpolates between the chaotic mathcalN=2 SYK model and an...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.20913 [2] arXiv https://arxiv.org/abs/2605.20913 [3] Publisher https://arxiv.org/abs/2605.20913

Local Citation Graph (Related-Paper Links)

Current Paper #63625 #69040 Collective Emission in LH2 Asse... #69030 Non-Hermitian Crystalline Braid... #69029 Higher-order Symmetric Quantum ... #69027 Computational Superiority of No...

External citation index: OpenAlex citation signal • updated 2026-06-14 05:41:31

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