Scale and conformal invariance in rotating interacting few-fermion systems
Artikel i vetenskaplig tidskrift, 2024

We show that rotating two-dimensional Fermi gases possess a nonrelativistic scale and conformal invariance at weak but nonzero interactions, where the scale invariance of universal short-range interactions is not yet broken by quantum effects. We demonstrate the symmetry in the excitation spectrum of few-fermion ensembles in a harmonic trap obtained by exact diagonalization. The excitation spectrum is shown to split in a set of primary states and derived excited states that consist of breathing modes as well as two different center-of-mass excitations, which describe cyclotron and guiding-center excitations of the total particle cloud. Furthermore, the conformal symmetry is manifest in the many-body wave function, where it dictates the form of the hyperradial component, which we demonstrate using Monte Carlo sampling of few-body wave functions.


Viktor Bekassy

Chalmers, Mikroteknologi och nanovetenskap, Tillämpad kvantfysik

Johannes Hofmann

Göteborgs universitet

Stockholms universitet

Physical Review Research

26431564 (ISSN)

Vol. 6 2 023279


Atom- och molekylfysik och optik

Annan fysik



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