Universal Drude Weights in One-dimensional Repulsive Fermi Gas
Abstract
Building on the Bethe ansatz and generalized hydrodynamics, we rigorously establish universal relations between Drude weights governing charge, spin, and energy transport and thermodynamic properties for the one-dimensional repulsive two-component continuum Fermi gas - the paradigmatic integrable Yang-Gaudin model. We analytically derive thermodynamic expressions for charge Drude weights: Dnn, Dnm, Dne (responses of particle, magnetization and energy currents to a chemical potential gradient) equal the particle density, magnetization, and temperature times entropy density, respectively. These relations constitute a hallmark of ballistic transport, and can be generalized to other 1D continuum integrable systems. Furthermore, we investigate spin Drude weight (Dmm, Dme) at zero and low temperatures. They characterize the magnetization and energy current responses to a magnetic field gradient, revealing an essential spin-charge coupling feature in quantum transport. We find that the Drude weights Dnm, Dmm, and Dme across the μ−H plane remarkably map out the zero-temperature phase boundary. This work fills a critical gap in the understanding of transport within integrable quantum gases and furnishes a direct theoretical foundation for future ultracold-atom experiments.
Related
- Nonlinear Drude weight of the one-dimensional Hubbard model
- Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional case
- Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case
- Local Density Approximation and Other Limit Regimes for a Homogeneous Bose Gas with Repulsive Three-Body Interactions in Low-Dimensional Space
- Weyl superconductivity from Feshbach resonance in the three-dimensional repulsive Hubbard model
BibTeX
@misc{yin2026universal,
title = {{Universal Drude Weights in One-dimensional Repulsive Fermi Gas}},
author = {Xiangguo Yin and Dawei Niu and Shuang Zhang and Shizhong Zhang and Yunbo Zhang and Xi-Wen Guan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11137},
eprint = {2610.11137},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11137},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Universal Drude Weights in One-dimensional Repulsive Fermi Gas
AU - Xiangguo Yin
AU - Dawei Niu
AU - Shuang Zhang
AU - Shizhong Zhang
AU - Yunbo Zhang
AU - Xi-Wen Guan
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.11137
UR - https://arxiv.org/abs/2610.11137
AB - Building on the Bethe ansatz and generalized hydrodynamics, we rigorously establish universal relations between Drude weights governing charge, spin, and energy transport and thermodynamic properties for the one-dimensional repulsive two-component continuum Fermi gas - the paradigmatic integrable Yang-Gaudin model. We analytically derive thermodynamic expressions for charge Drude weights: D_nn, D_nm, D_ne (responses of particle, magnetization and energy currents to a chemical potential gradient) equal the particle density, magnetization, and temperature times entropy density, respectively. These relations constitute a hallmark of ballistic transport, and can be generalized to other 1D continuum integrable systems. Furthermore, we investigate spin Drude weight (D_mm, D_me) at zero and low temperatures. They characterize the magnetization and energy current responses to a magnetic field gradient, revealing an essential spin-charge coupling feature in quantum transport. We find that the Drude weights D_nm, D_mm, and D_me across the μ−H plane remarkably map out the zero-temperature phase boundary. This work fills a critical gap in the understanding of transport within integrable quantum gases and furnishes a direct theoretical foundation for future ultracold-atom experiments.
ER -