Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909521818943488 |
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| author | Pisani, Leonardo Bovini, Pietro Pavan, Fabrizio Pieri, Pierbiagio |
| author_facet | Pisani, Leonardo Bovini, Pietro Pavan, Fabrizio Pieri, Pierbiagio |
| contents | We consider a mixture of bosons and spin-polarized fermions in two dimensions at zero temperature with a tunable Bose-Fermi attraction. By adopting a diagrammatic T-matrix approach, we analyze the behavior of several thermodynamic quantities for the two species as a function of the density ratio and coupling strength, including the chemical potentials, the momentum distribution functions, the boson condensate density, and the Tan's contact parameter. By increasing the Bose-Fermi attraction, we find that the condensate is progressively depleted and Bose-Fermi pairs form, with a small fraction of condensed bosons surviving even for strong Bose-Fermi attraction. This small condensate proves sufficient to hybridize molecular and atomic states, producing quasi-particles with unusual Fermi liquid features. A nearly universal behavior of the condensate fraction, the bosonic momentum distribution, and Tan's contact parameter with respect to the density ratio is also found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05029 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures Pisani, Leonardo Bovini, Pietro Pavan, Fabrizio Pieri, Pierbiagio Quantum Gases We consider a mixture of bosons and spin-polarized fermions in two dimensions at zero temperature with a tunable Bose-Fermi attraction. By adopting a diagrammatic T-matrix approach, we analyze the behavior of several thermodynamic quantities for the two species as a function of the density ratio and coupling strength, including the chemical potentials, the momentum distribution functions, the boson condensate density, and the Tan's contact parameter. By increasing the Bose-Fermi attraction, we find that the condensate is progressively depleted and Bose-Fermi pairs form, with a small fraction of condensed bosons surviving even for strong Bose-Fermi attraction. This small condensate proves sufficient to hybridize molecular and atomic states, producing quasi-particles with unusual Fermi liquid features. A nearly universal behavior of the condensate fraction, the bosonic momentum distribution, and Tan's contact parameter with respect to the density ratio is also found. |
| title | Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2405.05029 |