TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.4.114
TI  - Integrable deformations of superintegrable quantum circuits
PY  - 2024/04/26
UR  - https://www.scipost.org/SciPostPhys.16.4.114
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 4
SP  - 114
A1  - Gombor, Tamás
AU  - Pozsgay, Balázs
AB  - Superintegrable models are very special dynamical systems: they possess more conservation laws than what is necessary for integrability. This severely constrains their dynamical processes, and it often leads to their exact solvability, even in non-equilibrium situations. In this paper we consider special Hamiltonian deformations of superintegrable quantum circuits. The deformations break superintegrability, but they preserve integrability. We focus on a selection of concrete models and show that for each model there is an (at least) one parameter family of integrable deformations. Our most interesting example is the so-called Rule54 model. We show that the model is compatible with a one parameter family of Yang-Baxter integrable spin chains with six-site interaction. Therefore, the Rule54 model does not have a unique integrability structure, instead it lies at the intersection of a family of quantum integrable models.
ER  -

@Article{10.21468/SciPostPhys.16.4.114,
	title={{Integrable deformations of superintegrable quantum circuits}},
	author={Tamás Gombor and Balázs Pozsgay},
	journal={SciPost Phys.},
	volume={16},
	pages={114},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.4.114},
	url={https://scipost.org/10.21468/SciPostPhys.16.4.114},
}