Solitons and entanglement in the double sine-Gordon model
A. Alonso Izquierdo, J. Mateos Guilarte, and N. G. de Almeida

TL;DR
This paper investigates the relationship between soliton entanglement entropy and kink energy distribution in a finite harmonic chain with a parametrized sine-Gordon potential, revealing strong correlations.
Contribution
It introduces a numerical study linking soliton entanglement entropy with energy profiles in a generalized sine-Gordon model.
Findings
Strong correlation between soliton entanglement entropy and kink energy distribution.
Entanglement entropy varies with sub-chain length in a predictable manner.
The model encompasses the sine-Gordon potential at the parameter interval endpoints.
Abstract
The bipartite ground state entanglement in a finite linear harmonic chain of particles is numerically investigated. The particles are subjected to an external on-site periodic potential belonging to a family parametrized by the unit interval encompassing the sine-Gordon potential at both ends of the interval. Strong correspondences between the soliton entanglement entropy and the kink energy distribution profile as functions of the sub-chain length are found.
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