Sublattice entanglement in an exactly solvable anyonlike spin ladder

Pozsgai, Balázs and Hutsaliuk, Artur and Pristyák, Levente and Takács, Gábor (2022) Sublattice entanglement in an exactly solvable anyonlike spin ladder. PHYSICAL REVIEW E: COVERING STATISTICAL NONLINEAR BIOLOGICAL AND SOFT MATTER PHYSICS (2016-), 106 (4). ISSN 2470-0045

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Abstract

We introduce an integrable spin ladder model and study its exact solution, correlation functions, and entanglement properties. The model supports two particle types (corresponding to the even and odd sublattices), such that the scattering phases are constants: Particles of the same type scatter as free fermions, whereas the interparticle phase shift is a constant tuned by an interaction parameter. Therefore, the spin ladder bears similarities with anyonic models. We present exact results for the spectrum and correlation functions, and we study the sublattice entanglement by numerical means.

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