Bosonization of Fermionic Many-Body Dynamics

Benedikter, Niels; Nam, Phan Thanh; Porta, Marcello; Schlein, Benjamin and Seiringer, Robert (2021): Bosonization of Fermionic Many-Body Dynamics. In: Annales Henri Poincare, Vol. 23, No. 5: pp. 1725-1764

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 quasi-free bosonic evolution of the collective particle-hole excitations.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1424-0637
• Language: English