Scale and conformal invariance in rotating interacting few-fermion systems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866929387622891520 |
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| author | Bekassy, Viktor Hofmann, Johannes |
| author_facet | Bekassy, Viktor Hofmann, Johannes |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12216 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scale and conformal invariance in rotating interacting few-fermion systems Bekassy, Viktor Hofmann, Johannes Quantum Gases Mesoscale and Nanoscale Physics Statistical Mechanics 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. |
| title | Scale and conformal invariance in rotating interacting few-fermion systems |
| topic | Quantum Gases Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2310.12216 |