The Renormalised Bogoliubov-Fr\"ohlich Hamiltonian
Quantum Gases
2020-11-05 v3 Mathematical Physics
math.MP
Quantum Physics
Abstract
The Bogoliubov-Fr\"ohlich Hamiltonian models the interaction of an impurity with the excitations of a Bose-Einstein condensate. It has been observed that the dependence of the ground state energy on the ultraviolet cutoff differs significantly from what would be expected from similar well-known models. We give a detailed explanation of this UV behaviour, and provide an explicit representation of the renormalised Hamiltonian.
Keywords
Cite
@article{arxiv.1909.02430,
title = {The Renormalised Bogoliubov-Fr\"ohlich Hamiltonian},
author = {Jonas Lampart},
journal= {arXiv preprint arXiv:1909.02430},
year = {2020}
}