Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917096693170176 |
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| author | Lampart, Jonas Triay, Arnaud |
| author_facet | Lampart, Jonas Triay, Arnaud |
| contents | We analyze the many-body Hamiltonian describing a mobile impurity immersed in a Bose-Einstein condensate (BEC). Using exact unitary transformations and rigorous error estimates, we show the validity of the Bogoliubov-Fröhlich Hamiltonian for the Bose polaron in the regime of moderately strong, repulsive interactions with a dilute BEC. Moreover, we calculate analytically the universal logarithmic correction to the ground state energy that arises from an impurity mediated phonon-phonon interaction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11655 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate Lampart, Jonas Triay, Arnaud Quantum Gases Mathematical Physics We analyze the many-body Hamiltonian describing a mobile impurity immersed in a Bose-Einstein condensate (BEC). Using exact unitary transformations and rigorous error estimates, we show the validity of the Bogoliubov-Fröhlich Hamiltonian for the Bose polaron in the regime of moderately strong, repulsive interactions with a dilute BEC. Moreover, we calculate analytically the universal logarithmic correction to the ground state energy that arises from an impurity mediated phonon-phonon interaction. |
| title | Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate |
| topic | Quantum Gases Mathematical Physics |
| url | https://arxiv.org/abs/2411.11655 |