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arXiv · 2103.08224

Bosonization of Fermionic Many-Body Dynamics

Niels Benedikter·Phan Thành Nam·Marcello Porta·Benjamin Schlein·Robert Seiringer
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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.

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Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer. 2021-03-15. Bosonization of Fermionic Many-Body Dynamics. https://doi.org/10.1007/s00023-021-01136-y

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