The crossover from classical to quantum transport in a weakly-interacting Fermi gas
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908854516711424 |
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| author | Kurkjian, Hadrien |
| author_facet | Kurkjian, Hadrien |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17379 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The crossover from classical to quantum transport in a weakly-interacting Fermi gas Kurkjian, Hadrien Quantum Gases Quantum Physics 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. |
| title | The crossover from classical to quantum transport in a weakly-interacting Fermi gas |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2512.17379 |