发表机构
Institute for Space Sciences; London Institute for Mathematical Sciences, Royal Institution; Department of Physics, University of Oradea; Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics; MTA-BME Lendület “Momentum” Open Quantum Systems Research Group, Budapest University of Technology and Economics(空间科学研究所; 伦敦数学科学研究所,皇家学会; 奥拉迪亚大学物理系; 布达佩斯技术与经济大学物理学院理论物理系; 布达佩斯技术与经济大学 MTA-BME 领导力“动量”开放量子系统研究组)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
研究一维多组分强相互作用气体含缺陷时的非平衡全计数统计,利用自旋-电荷分离和散射数据精确求解,发现束缚态引起的振荡及低温电流线性修正,平衡态下自旋转移呈M-Wright分布。
AI 中文摘要
我们研究了一维多组分不可穿透气体在局域缺陷存在下从二分态释放时的全计数统计。自旋-电荷分离将多变量生成函数简化为精确的Fredholm行列式,其核由时间演化的单粒子轨道构成。利用散射数据表达这些轨道,可同时获得瞬态动力学和非平衡稳态。我们推导了主导的长时渐近行为,并识别出由结点处多个束缚态引起的密度和电流中的持续振荡。我们认为组分间的相互作用导致电流的线性低温修正,这与单组分情况下的二次修正形成对比。在平衡态下,我们获得了自旋转移的M-Wright分布,具有$t^{1/4}$标度。
英文摘要
We investigate the full counting statistics of a one-dimensional multicomponent impenetrable gas released from a bipartite state in the presence of a local defect. Spin--charge separation reduces the multivariate generating function to an exact Fredholm determinant whose kernel is built from time-evolved single-particle orbitals. Expressing these orbitals in terms of scattering data gives access to both transient dynamics and the nonequilibrium steady state. We derive the leading long-time asymptotics and identify persistent oscillations in densities and currents caused by multiple bound states at the junction. We argue that interactions between components lead to a linear low-temperature correction to the current, in contrast to the quadratic correction in the single-component case. At equilibrium, we obtain the M-Wright distribution of spin transfer with $t^{1/4}$ scaling.
Comments7+2 pages, 1 figure, RevTeX 4.2