Superintegrable bosonic star networks

2025/09/06 by Angela Foerster, Jon Links, Foerster, Angela +1 · 1 voice
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Laser-Matter Interactions and Applications #Quantum optics and atomic interactions #nlin.SI

paper · pdf · doi:10.48550/arxiv.2509.05590

openalex publication_date 2025/09/06 · arxiv published 2025/09/06 · arxiv updated 2025/09/06 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

We introduce a class of bosonic star networks involving a central site interacting with the surrounding environment sites. These networks are shown to be superintegrable. We present two forms of Bethe Ansatz solution providing expressions for the energy eigenvalues. A brief discussion is included on the potential applications.

Citations

• Controlling entanglement in a triple-well system of dipolar atoms
• Supersymmetry and integrability for a class of XY central spin models

Cited by

• Explicit conserved operators for a class of integrable bosonic networks from the classical Yang-Baxter equation

Discussions

• Angela Foerster, Jon Links: Superintegrable bosonic star networks https://arxiv.org/abs/2509.05590 https://arxiv.org/pdf/2509.05590 https://arxiv.org/html/2509.05590 [bsky, 0 points, 0 comments]

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