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Quantum vortices play an important role in the physics of two-dimensionalquantum many-body systems, though they usually are understood in thesingle-particle framework like the mean-field approach. Inspired by the studyon the relations between solitons and yrast states, we investigate here theemergence of vortices from the eigenstates of a N -body Hamiltonian ofinteracting particles trapped in a disk. We analyse states that appear byconsecutively measuring the positions of particles. These states havedensities, phases, and energies closely resembling mean-field vortices. Wediscuss similarities, but also point out purely many-body features, such asvortex smearing due to the quantum fluctuation of their center. The ab initioanalysis of the many-body system, and mean-field approaches are supported bythe analysis within the Bogoliubov approach.

Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension