Quantum

Distance to integrability and complexity

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 03/11/2026, 08:58:24 UTC.

Briefings

A new study on spin-1/2 chains identifies the full set of nearest-neighbour integrable models and defines a model-independent distance to integrability. This metric interpolates chaos diagnostics between integrable and chaotic states, revealing that standard measures fail to capture the full complexity of the system's behavior.

Key points

• The study identifies the complete set of nearest-neighbour integrable models for spin-1/2 chains.
• A numerical algorithm determines the 'closest' integrable model for any given Hamiltonian, defining a distance metric.

Context

This research provides a model-independent distance to integrability for spin-1/2 chains, allowing researchers to quantify how close a system is to being integrable. The findings suggest that standard chaos diagnostics are insufficient for capturing the full complexity of these systems.

Limitations

The evidence is limited to a single preprint (arXiv:2611.00233v1) with no peer review or experimental validation. The study focuses only on nearest-neighbour interactions and does not address higher-order interactions or long-range effects.

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