TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.1.027
TI  - Integrable fishnet circuits and Brownian solitons
PY  - 2025/07/21
UR  - https://scipost.org/SciPostPhys.19.1.027
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 1
SP  - 027
A1  - Krajnik, Žiga
AU  - Ilievski, Enej
AU  - Prosen, Tomaž
AU  - Héry, Benjamin J. A.
AU  - Pasquier, Vincent
AB  - We introduce classical many-body dynamics on a one-dimensional lattice comprising local two-body maps arranged on discrete space-time mesh that serve as discretizations of Hamiltonian dynamics with arbitrarily time-varying coupling constants. Time evolution is generated by passing an auxiliary degree of freedom along the lattice, resulting in a 'fishnet' circuit structure. We construct integrable circuits consisting of Yang-Baxter maps and demonstrate their general properties, using the Toda and anisotropic Landau-Lifschitz models as examples. Upon stochastically rescaling time, the dynamics is dominated by fluctuations and we observe solitons undergoing Brownian motion.
ER  -

@Article{10.21468/SciPostPhys.19.1.027,
	title={{Integrable fishnet circuits and Brownian solitons}},
	author={Žiga Krajnik and Enej Ilievski and Tomaž Prosen and Benjamin J. A. Héry and Vincent Pasquier},
	journal={SciPost Phys.},
	volume={19},
	pages={027},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.1.027},
	url={https://scipost.org/10.21468/SciPostPhys.19.1.027},
}