Bosonization of Fermionic Many-Body Dynamics
Mathematical Physics
2022-07-07 v2 Quantum Gases
math.MP
Abstract
We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle-hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasifree bosonic evolution of the collective particle-hole excitations.
Cite
@article{arxiv.2103.08224,
title = {Bosonization of Fermionic Many-Body Dynamics},
author = {Niels Benedikter and Phan Thành Nam and Marcello Porta and Benjamin Schlein and Robert Seiringer},
journal= {arXiv preprint arXiv:2103.08224},
year = {2022}
}
Comments
31 pages, 1 figure