Bosonization of Fermionic Many-Body Dynamics
arXiv:2103.08224 · doi:10.1007/s00023-021-01136-y
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.
arXiv comment31 pages, 1 figure
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