Scholarlink

<p>We present an exact solution of the quantum kinetic equation of a weakly-interacting two-component unpolarized 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 controlled decomposition of the phase-space distribution. This approach yields accurate predictions for the shear viscosity, thermal diffusivity, and spin diffusivity to leading order in the scattering length. We demonstrate that the commonly used variational approximation fails 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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Crossover From Classical to Quantum Transport in a Weakly-Interacting Fermi Gas

  • 期刊论文

  • 发表日期：

    2026年8月4日

查看全文
  • Hadrien Kurkjian

摘要

We present an exact solution of the quantum kinetic equation of a weakly-interacting two-component unpolarized 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 controlled decomposition of the phase-space distribution. This approach yields accurate predictions for the shear viscosity, thermal diffusivity, and spin diffusivity to leading order in the scattering length. We demonstrate that the commonly used variational approximation fails 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.