Multilayered density profile for noninteracting fermions in a rotating two-dimensional trap

@article{Kulkarni2020MultilayeredDP,
title={Multilayered density profile for noninteracting fermions in a rotating two-dimensional trap},
author={Manas Kulkarni and Satya N. Majumdar and Gr{\'e}gory Schehr},
journal={Physical Review A},
year={2020}
}
• Published 15 September 2020
• Physics
• Physical Review A
We compute exactly the average spatial density for $N$ spinless noninteracting fermions in a $2d$ harmonic trap rotating with a constant frequency $\Omega$ in the presence of an additional repulsive central potential $\gamma/r^2$. We find that, in the large $N$ limit, the bulk density has a rich and nontrivial profile -- with a hole at the center of the trap and surrounded by a multi-layered "wedding cake" structure. The number of layers depends on $N$ and on the two parameters $\Omega$ and…
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