# Exact closed-form analytic wave functions in two dimensions: Contact-interacting fermionic spinful ultracold atoms in a rapidly rotating trap

@inproceedings{Yannouleas2021ExactCA,
title={Exact closed-form analytic wave functions in two dimensions: Contact-interacting fermionic spinful ultracold atoms in a rapidly rotating trap},
author={Constantine Yannouleas and Uzi Landman},
year={2021}
}
• Published 2021
• Physics
Exact two-dimensional analytic wave functions for an arbitrary number N of contact-interacting lowest-Landau-level (LLL) spinful fermions are derived with the use of combined numerical and symbolic computational approaches via analysis of exact Hamiltonian numerical diagonalization data. Closed-form analytic expressions are presented for two families of zero-interaction-energy states at given total angular momentum and total spin 0 ≤ S ≤ N/2 in the neighborhood of the ν = 1 filling, covering… Expand

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