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| Auteurs principaux: | , |
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| Format: | Preprint |
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2024
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| Accès en ligne: | https://arxiv.org/abs/2404.18743 |
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| _version_ | 1866913334432890880 |
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| author | Palanivelrajan, Vimal Drut, Joaquín E. |
| author_facet | Palanivelrajan, Vimal Drut, Joaquín E. |
| contents | We explore a generalization of nonrelativistic fermionic statistics that interpolates between bosons and fermions, in which up to $K$ particles may occupy a single-particle state. We show that it can be mapped exactly to $K$ flavors of fermions with imaginary polarization. In particular, for $K\!=\!2$, we use such a mapping to derive the virial coefficients and relate them to those of conventional spin-1/2 fermions in an exact fashion. We also use the mapping to derive next-to-leading-order perturbative results for the pressure equation of state. Our results indicate that the $K\!=\!2$ particles are more strongly coupled than conventional spin-$1/2$ fermions, as measured by the interaction effects on the virial expansion and on the pressure equation of state. In the regime set by the unitary limit, the proposed $K\!=\!2$ deformation represents a universal many-body system whose properties remain largely unknown. In particular, the system can be expected to become superfluid at a critical temperature $T_c$ higher than that of the unitary limit. We suggest it may be possible to realize this system experimentally by engineering a polarized coupling to an electrostatic potential. Finally, we show that the $K\!=\!2$ system does not display a sign problem for determinantal Monte Carlo calculations, which indicates that $T_c$ can at least in principle be calculated with conventional methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An unconventional deformation of the nonrelativistic spin-1/2 Fermi gas Palanivelrajan, Vimal Drut, Joaquín E. Quantum Gases Nuclear Theory We explore a generalization of nonrelativistic fermionic statistics that interpolates between bosons and fermions, in which up to $K$ particles may occupy a single-particle state. We show that it can be mapped exactly to $K$ flavors of fermions with imaginary polarization. In particular, for $K\!=\!2$, we use such a mapping to derive the virial coefficients and relate them to those of conventional spin-1/2 fermions in an exact fashion. We also use the mapping to derive next-to-leading-order perturbative results for the pressure equation of state. Our results indicate that the $K\!=\!2$ particles are more strongly coupled than conventional spin-$1/2$ fermions, as measured by the interaction effects on the virial expansion and on the pressure equation of state. In the regime set by the unitary limit, the proposed $K\!=\!2$ deformation represents a universal many-body system whose properties remain largely unknown. In particular, the system can be expected to become superfluid at a critical temperature $T_c$ higher than that of the unitary limit. We suggest it may be possible to realize this system experimentally by engineering a polarized coupling to an electrostatic potential. Finally, we show that the $K\!=\!2$ system does not display a sign problem for determinantal Monte Carlo calculations, which indicates that $T_c$ can at least in principle be calculated with conventional methods. |
| title | An unconventional deformation of the nonrelativistic spin-1/2 Fermi gas |
| topic | Quantum Gases Nuclear Theory |
| url | https://arxiv.org/abs/2404.18743 |