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.
Bosonization of Fermionic Many-Body Dynamics / N. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - (2021), pp. 1-40. [Epub ahead of print] [10.1007/s00023-021-01136-y]
Bosonization of Fermionic Many-Body Dynamics
N. Benedikter
Primo
;
2021
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.File | Dimensione | Formato | |
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