Scale and conformal invariance in rotating interacting few-fermion systems
| Autor: | Bekassy, Viktor, Hofmann, Johannes |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. Research 6, 023279 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.6.023279 |
| Popis: | 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. Comment: 17 pages, 10 figures |
| Databáze: | arXiv |
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