发表机构
Institute of Theoretical Physics and State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University; Collaborative Innovation Center of Extreme Optics, Shanxi University; Department of Physics and Key Laboratory of Optical Field Manipulation of Zhejiang Province, Zhejiang Sci-Tech University; Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences; Department of Fundamental and Theoretical Physics, Research School of Physics, Australian National University（山西大学理论物理研究所与量子光学及量子光学器件国家重点实验室; 山西大学极端光学协同创新中心; 浙江理工大学物理系与浙江省光学场调控重点实验室; 中国科学院精密测量科学与技术创新研究院; 澳大利亚国立大学物理研究学院基础与理论物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究基于贝特 ansatz 和广义流体动力学，建立一维排斥费米气体的德鲁德权重与热力学性质的普适关系，揭示自旋-电荷耦合特征，为超冷原子实验提供理论基础。
AI 中文摘要
基于Bethe ansatz（贝特 ansatz）和广义流体动力学，我们严格建立了控制电荷、自旋和能量输运的德鲁德权重，与一维排斥两分量连续费米气体（典型可积Yang-Gaudin模型）的热力学性质之间的普适关系。我们解析推导了电荷德鲁德权重的热力学表达式：$D_{nn}$、$D_{nm}$、$D_{ne}$（粒子、磁化强度和能量电流对化学势梯度的响应）分别等于粒子密度、磁化强度和温度乘以熵密度。这些关系是弹道输运的标志，可推广到其他一维连续可积系统。此外，我们研究了零温及低温下的自旋德鲁德权重（$D_{mm}$、$D_{me}$），它们表征磁化强度和能量电流对磁场梯度的响应，揭示了量子输运中重要的自旋-电荷耦合特征。我们发现，$\text{-}H$平面上的德鲁德权重$D_{nm}$、$D_{mm}$和$D_{me}$显著勾勒出零温相边界。本研究填补了可积量子气体输运理解中的关键空白，为未来超冷原子实验提供了直接的理论基础。
英文摘要
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 $μ\text{-}H$ 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.
Comments36 pages, 9 figures
