The crossover from classical to quantum transport in a weakly-interacting Fermi gas

• URL: http://arxiv.org/abs/2512.17379v1
• Date: Fri, 19 Dec 2025 09:32:51 GMT
• Title: The crossover from classical to quantum transport in a weakly-interacting Fermi gas
• Authors: Hadrien Kurkjian,
• Abstract summary: We present an exact solution of the quantum kinetic equation of a weakly interacting Fermi gas in the crossover from the Fermi-liquid regime to the classical Boltzmann gas.<n>We construct families of degenerates tailored to each angular momentum channel, enabling a fast and systematically improvable decomposition of the phase diffusivity distribution.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present an exact solution of the quantum kinetic equation of a weakly interacting Fermi gas in the crossover from the degenerate Fermi-liquid regime to the classical Boltzmann gas. We construct families of orthogonal polynomials tailored to each angular momentum channel, enabling a fast and systematically improvable decomposition of the phase-space distribution. This approach yields accurate, non-variational predictions for the shear viscosity, thermal diffusivity, and spin diffusivity to leading order in the scattering length. We demonstrate that the commonly used relaxation-time approximation fails dramatically at low temperature--by up to 25%. Our method provides a numerically efficient framework for benchmarking transport in strongly correlated regimes and for simulating the kinetics of quantum gases beyond hydrodynamics.

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