Integrable hard rod deformation of the Heisenberg spin chains

Abstract

We present new integrable models of interacting spin-1/2 chains, which can be interpreted as hard rod deformations of the XXZ Heisenberg chains. The models support multiple particle types: dynamical hard rods of length $\ell$ and particles with lengths ${\ell }^{\prime }<\ell$ that are immobile except for the interaction with the hard rods. We encounter a remarkable phenomenon in these interacting models: exact spectral degeneracies across different deformations and volumes. The algebraic integrability of these systems is also treated using a recently developed formalism for medium range integrable spin chains. We present the detailed Bethe Ansatz solution for the case $\ell =2$.

13 pages, v2: reference added and a few new formulas for the XXX case

References in corpus (4)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• A Yang-Baxter integrable cellular automaton with a four site update rule
• Exactly solvable interacting vertex models

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