# Asymptotics of quasi-classical localized states in 2D system of charged hard-core bosons

## TL;DR

This paper develops a quasi-classical approximation for a 2D charged boson system to analyze various localized excitations, revealing their types and asymptotic behaviors, with comparisons to numerical results.

## Contribution

It introduces a novel quasi-classical two-sublattice approximation for 2D charged bosons and classifies localized excitations based on asymptotic analysis.

## Key findings

- Identification of ferro and antiferro vortices
- Discovery of skyrmion-like topological excitations
- Characterization of linear domain walls

## Abstract

The continuous quasi-classical two-sublattice approximation is constructed for the 2D system of charged hard-core bosons to explore metastable inhomogeneous states analogous to inhomogeneous localized excitations in magnetic systems. The types of localized excitations are determined by asymptotic analysis and compared with numerical results. Depending on the homogeneous ground state, the excitations are the ferro and antiferro type vortices, the skyrmion-like topological excitations or linear domain walls.