Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit

K. Mysliwy, R. Seiringer, Annales Henri Poincare (2020).

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Abstract
We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model.
Publishing Year
Date Published
2020-10-13
Journal Title
Annales Henri Poincare
Acknowledgement
Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.) is gratefully acknowledged. Funding Open access funding provided by Institute of Science and Technology (IST Austria)
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IST-REx-ID

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Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 2020. doi:10.1007/s00023-020-00969-3
Mysliwy, K., & Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. https://doi.org/10.1007/s00023-020-00969-3
Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare, 2020. https://doi.org/10.1007/s00023-020-00969-3.
K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” Annales Henri Poincare, 2020.
Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare.
Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare, Springer, 2020, doi:10.1007/s00023-020-00969-3.
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