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PreprintCC BY 4.0HAL

Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit

  • Jonas Lampart
  • Siegfried Spruck
  • Peter Pickl
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Abstract

We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of N bosons evolving in ℝ3 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 Λ3≪ ρ, the effective description by the translation-invariant Bogoliubov-Fröhlich Hamiltonian, which couples the quantum field of excitations linearly to the impurity particle.

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Cite

BibTeXRIS
BibTeX
@misc{lampart2026effective,
  title = {{Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit}},
  author = {Jonas Lampart and Siegfried Spruck and Peter Pickl},
  howpublished = {HAL},
  year = {2026},
  month = may,
  eprint = {2604.11976},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05764057v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit
AU  - Jonas Lampart
AU  - Siegfried Spruck
AU  - Peter Pickl
PY  - 2026
DA  - 2026/05/22
PB  - HAL
UR  - https://hal.science/hal-05764057v1
AB  - We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of N bosons evolving in 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≪ ρ, the effective description by the translation-invariant Bogoliubov-Fröhlich Hamiltonian, which couples the quantum field of excitations linearly to the impurity particle.
ER  -