Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910247985086464 |
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| author | Lampart, Jonas Pickl, Peter Spruck, Siegfried |
| author_facet | Lampart, Jonas Pickl, Peter Spruck, Siegfried |
| contents | We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of $N$ bosons evolving in $\mathbb{R}^3$ in the presence of an impurity particle. The system is studied in the mean-field scaling with initially high density $ρ$ and large volume $Λ$ of the gas. In the initial state, almost all bosons are in the Bose-Einstein condensate, with a few excitations. We derive from the microscopic dynamics, in the joint limit of large densities and volumes, with the constraint $Λ^3 \ll ρ$, the effective description by the translation-invariant Bogoliubov-Fröhlich Hamiltonian, which couples the quantum field of excitations linearly to the impurity particle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11976 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit Lampart, Jonas Pickl, Peter Spruck, Siegfried Mathematical Physics We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of $N$ bosons evolving in $\mathbb{R}^3$ in the presence of an impurity particle. The system is studied in the mean-field scaling with initially high density $ρ$ and large volume $Λ$ of the gas. In the initial state, almost all bosons are in the Bose-Einstein condensate, with a few excitations. We derive from the microscopic dynamics, in the joint limit of large densities and volumes, with the constraint $Λ^3 \ll ρ$, the effective description by the translation-invariant Bogoliubov-Fröhlich Hamiltonian, which couples the quantum field of excitations linearly to the impurity particle. |
| title | Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2604.11976 |