Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910782339416064 |
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| author | Hoang, Duc Viet Pickl, Peter |
| author_facet | Hoang, Duc Viet Pickl, Peter |
| contents | We study the quantum dynamics of a homogeneous ideal Fermi gas coupled to an impurity particle on a three-dimensional box with periodic boundary condition. For large Fermi momentum $k_\text{F}$, we prove that the effective dynamics is generated by a Fröhlich-type polaron Hamiltonian, which linearly couples the impurity particle to an almost-bosonic excitation field. Moreover, we prove that the effective dynamics can be approximated by an explicit coupled coherent state. Our method is applicable to a range of interaction couplings, in particular including interaction couplings of order 1 and time scales of the order $k_\text{F}^{-1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08028 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas Hoang, Duc Viet Pickl, Peter Mathematical Physics Quantum Gases We study the quantum dynamics of a homogeneous ideal Fermi gas coupled to an impurity particle on a three-dimensional box with periodic boundary condition. For large Fermi momentum $k_\text{F}$, we prove that the effective dynamics is generated by a Fröhlich-type polaron Hamiltonian, which linearly couples the impurity particle to an almost-bosonic excitation field. Moreover, we prove that the effective dynamics can be approximated by an explicit coupled coherent state. Our method is applicable to a range of interaction couplings, in particular including interaction couplings of order 1 and time scales of the order $k_\text{F}^{-1}$. |
| title | Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas |
| topic | Mathematical Physics Quantum Gases |
| url | https://arxiv.org/abs/2406.08028 |