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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2512.09753 |
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| _version_ | 1866909954929065984 |
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| author | Midei, Giovanni Boronat, Jordi Astrakharchik, Grigory E. |
| author_facet | Midei, Giovanni Boronat, Jordi Astrakharchik, Grigory E. |
| contents | We investigate the ground-state properties of ultracold two-component Fermi gases in the presence of a transverse harmonic potential, focusing on the strongly interacting regime in which pairs of fermions form tightly bound molecules. Using the fixed-node diffusion Monte Carlo method, we calculate the equation of state and density profiles for the full fermionic system, which allows us to address the importance of finite-range corrections arising from the internal fermionic structure of the composite bosons. We interpret the results in terms of a molecular Bose gas in quasi-two-dimensional confinement and compare them with theoretical predictions for a weakly interacting two-dimensional Bose gas, identifying the range of validity of mean-field and beyond-mean-field descriptions. We also develop an analytical theory for the transverse density profile, capturing its broadening with increasing interaction strength. This work provides a benchmark for an effective bosonic description of strongly bound fermionic dimers and offers new insights into the three- to two-dimensional crossover. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09753 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dimensional crossover and finite-range effects in a quasi-two-dimensional gas of fermionic dimers Midei, Giovanni Boronat, Jordi Astrakharchik, Grigory E. Quantum Gases We investigate the ground-state properties of ultracold two-component Fermi gases in the presence of a transverse harmonic potential, focusing on the strongly interacting regime in which pairs of fermions form tightly bound molecules. Using the fixed-node diffusion Monte Carlo method, we calculate the equation of state and density profiles for the full fermionic system, which allows us to address the importance of finite-range corrections arising from the internal fermionic structure of the composite bosons. We interpret the results in terms of a molecular Bose gas in quasi-two-dimensional confinement and compare them with theoretical predictions for a weakly interacting two-dimensional Bose gas, identifying the range of validity of mean-field and beyond-mean-field descriptions. We also develop an analytical theory for the transverse density profile, capturing its broadening with increasing interaction strength. This work provides a benchmark for an effective bosonic description of strongly bound fermionic dimers and offers new insights into the three- to two-dimensional crossover. |
| title | Dimensional crossover and finite-range effects in a quasi-two-dimensional gas of fermionic dimers |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2512.09753 |