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 / Benedikter, Niels; Nam, Phan Thành; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - (In corso di stampa), pp. 1-40. [10.1007/s00023-021-01136-y]

Bosonization of Fermionic Many-Body Dynamics

Benedikter, Niels;Nam, Phan Thành;Porta, Marcello;Schlein, Benjamin;
In corso di stampa

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.
In corso di stampa
1
40
Benedikter, Niels; Nam, Phan Thành; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/126053
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