TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.4.139
TI  - Integrable models on Rydberg atom chains
PY  - 2025/04/25
UR  - https://scipost.org/SciPostPhys.18.4.139
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 4
SP  - 139
A1  - Corcoran, Luke
AU  - de Leeuw, Marius
AU  - Pozsgay, Balázs
AB  - We initiate a systematic study of integrable models for spin chains with constrained Hilbert spaces; we focus on spin-1/2 chains with the Rydberg constraint. We extend earlier results for medium-range spin chains to the constrained Hilbert space, and formulate an integrability condition. This enables us to construct new integrable models with fixed interaction ranges. We classify all time- and space-reflection symmetric integrable Rydberg-constrained Hamiltonians of range 3 and 4. At range 3, we find a single family of integrable Hamiltonians: the so-called RSOS quantum chains, which are related to the well-known RSOS models of Andrews, Baxter, and Forrester. At range 4 we find two families of models, the first of which is the constrained XXZ model. We also find a new family of models depending on a single coupling $z$. We provide evidence of two critical points related to the golden ratio $\phi$, at $z=\phi^{-1/2}$ and $z=\phi^{3/2}$. We also perform a partial classification of integrable Hamiltonians for range 5.
ER  -

@Article{10.21468/SciPostPhys.18.4.139,
	title={{Integrable models on Rydberg atom chains}},
	author={Luke Corcoran and Marius de Leeuw and Balázs Pozsgay},
	journal={SciPost Phys.},
	volume={18},
	pages={139},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.4.139},
	url={https://scipost.org/10.21468/SciPostPhys.18.4.139},
}