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math-ph2026
Modular families of elliptic long-range spin chains from freezing
Rob Klabbers, Jules Lamers
We consider the construction of quantum-integrable spin chains with q-deformed long-range interactions by `freezing' integrable quantum many-body systems with spins. The input is a…
math-ph2025
Landscapes of integrable long-range spin chains
Rob Klabbers, Jules Lamers
We clarify how the elliptic integrable spin chain recently found by Matushko and Zotov (MZ) relates to various other known long-range spin chains. The limit gives the ellip…
math-ph2024
The deformed Inozemtsev spin chain
Rob Klabbers, Jules Lamers
The Inozemtsev chain is an exactly solvable interpolation between the short-range Heisenberg and long-range Haldane-Shastry (HS) chains. In order to unlock its potential to study s…