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arXiv · 2306.03300

Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases

Esteban Cárdenas·Thomas Chen
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Abstract

In this paper, we study a cold gas of $N \gg 1$ weakly interacting fermions. We describe the time evolution of states that are perturbations of the Fermi ball, and analyze the dynamics in particle-hole variables. Our main result states that, for small values of the coupling constant and for appropriate initial data, the effective dynamics of the momentum distribution is determined by a discrete collision operator of quantum Boltzmann form.

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Esteban Cárdenas, Thomas Chen. 2023-06-05. Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases. https://arxiv.org/abs/2306.03300

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