September 24, 2025Open Access

$su(2)$ symmetry of XX spin chains

View Full Paper

Ask AI

Bookmark

The studied XX spin chain exhibits a two-fold degeneracy when a uniform transverse magnetic field is adjusted appropriately.
Findings indicate that the system has an exact $su(2)$ symmetry with nonlocal generators determined by specific coefficients.
The research connects the inhomogeneous spin chain behavior to discrete orthogonal polynomials, enhancing its theoretical framework.
Understanding this symmetry could lead to advancements in quantum computing and related fields, demonstrating practical significance.

Implication

$su(2)$ symmetry reveals two-fold degeneracy in XX spin chains, suggesting new insights in magnetic field effects.

Abstract

We show that, after suitably adjusting a uniform transverse magnetic field, the generic inhomogeneous open XX spin chain has a two-fold degeneracy, and an exact $su(2)$ symmetry whose "inhomogeneous" nonlocal generators depend on coefficients that can be explicitly computed for models associated with discrete orthogonal polynomials.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Crampé et al. (2025) studied this question.

synapsesocial.com/papers/68d6d82e8b2b6861e4c3e326 https://doi.org/10.48550/arxiv.2508.20184

View Full Paper

Ask AI

Bookmark

Implication

$su(2)$ symmetry reveals two-fold degeneracy in XX spin chains, suggesting new insights in magnetic field effects.

$su(2)$ symmetry of XX spin chains

Key Points

Implication

Abstract

Discussion

Cite This Study

$su(2)$ symmetry of XX spin chains

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading