Exact Analytical Vortex Solution for a Two-Dimensional Quantum Gas with LHY Correction
Ibrar, Mahammad Ahmed Hussain, Ayan Khan

TL;DR
This paper presents an exact analytical vortex solution for a two-dimensional quantum gas with LHY correction, offering insights into vortex structures and serving as a benchmark for future research.
Contribution
It provides one of the rare exact analytical solutions for 2D quantum fluids with beyond mean-field corrections, advancing theoretical understanding.
Findings
Exact vortex solution derived for 2D Bose liquid with LHY correction
Framework established for analyzing vortex structures in low-dimensional quantum fluids
Benchmark provided for future theoretical and experimental studies
Abstract
In this investigation, we provide an exact analytical vortex solution for a Bose liquid in two dimensions with beyond mean-field correction (BMF). Analytical solutions in two-dimensional systems with BMF corrections are rarely found in the literature. The present result provides a clear framework for understanding vortex structures in low-dimensional quantum fluids and serves as a reliable benchmark for future theoretical and experimental studies.
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