Bethe Ansatz solution for a model of global-range interacting bosons on the square lattice

2025/09/02 by Jon Links · 1 voice
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1088/1742-5468/ae40ee

arxiv published 2025/09/02 · arxiv updated 2025/12/30

Abstract

Quantum systems on a one-dimensional lattice are ubiquitous in the study of models exactly-solved by Bethe Ansatz techniques. Here it is shown that including global-range interaction opens scope for Bethe Ansatz solutions that are not constrained to one-dimensional quantum systems. A bosonic model on a square lattice is defined, and the exact Bethe Ansatz solution is provided for open, cylindrical, and toroidal boundary conditions. Generalising the result for an integrable defect leads to a Bethe Ansatz solution that is not expressible in an exact, closed-form manner.

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Discussions

• Jon Links: Bethe Ansatz solution for a model of global-range interacting bosons on the square lattice https://arxiv.org/abs/2509.01989 https://arxiv.org/pdf/2509.01989 https://arxiv.org/html/2509.0198 [bsky, 0 points, 0 comments]

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