Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$

Kuniba, Atsuo; Misguich, Grégoire; Pasquier, Vincent

doi:10.21468/SciPostPhys.10.4.095

SciPost Physics

Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$

Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier

SciPost Phys. 10, 095 (2021) · published 30 April 2021

doi: 10.21468/SciPostPhys.10.4.095
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Abstract

We introduce the complete box-ball system (cBBS), which is an integrable cellular automaton on 1D lattice associated with the quantum group $U_q(\widehat{sl}_n)$. Compared with the conventional $(n-1)$-color BBS, it enjoys a remarkable simplification that scattering of solitons is totally diagonal. We also submit the cBBS to randomized initial conditions and study its non-equilibrium behavior by thermodynamic Bethe ansatz and generalized hydrodynamics. Excellent agreement is demonstrated between theoretical predictions and numerical simulation on the density plateaux generated from domain wall initial conditions including their diffusive broadening.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.4.095
TI  - Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$
PY  - 2021/04/30
UR  - https://scipost.org/SciPostPhys.10.4.095
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 4
SP  - 095
A1  - Kuniba, Atsuo
AU  - Misguich, Grégoire
AU  - Pasquier, Vincent
AB  - We introduce the complete box-ball system (cBBS), which is an integrable cellular automaton on 1D lattice associated with the quantum group $U_q(\widehat{sl}_n)$. Compared with the conventional $(n-1)$-color BBS, it enjoys a remarkable simplification that scattering of solitons is totally diagonal. We also submit the cBBS to randomized initial conditions and study its non-equilibrium behavior by thermodynamic Bethe ansatz and generalized hydrodynamics. Excellent agreement is demonstrated between theoretical predictions and numerical simulation on the density plateaux generated from domain wall initial conditions including their diffusive broadening.
ER  -

@Article{10.21468/SciPostPhys.10.4.095,
	title={{Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$}},
	author={Atsuo Kuniba and Grégoire Misguich and Vincent Pasquier},
	journal={SciPost Phys.},
	volume={10},
	pages={095},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.4.095},
	url={https://scipost.org/10.21468/SciPostPhys.10.4.095},
}

Cited by 3

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Atsuo Kuniba,
² Grégoire Misguich,
² Vincent Pasquier

Funders for the research work leading to this publication

Commissariat à l'Énergie Atomique et aux Énergies Alternatives (through Organization: Commissariat à l'énergie Atomique et aux énergies Alternatives / Atomic Energy and Alternative Energies Commission [CEA])
日本学術振興会 / Japan Society for the Promotion of Science [JSPS]