Bethe Ansatz solution for a model of global-range interacting bosons on the square lattice
Abstract
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.
Fields of Study & Subjects
Cold Atom Physics and Bose-Einstein Condensates
Quantum many-body systems
Quantum Mechanics and Non-Hermitian Physics
Publication details
- Journal / source
- Journal of Statistical Mechanics Theory and Experiment
- Publisher
- IOP Publishing
- Volume
- 2026
- Issue
- 2
- Pages
- 023103–023103
- Publication date
- 1 February 2026