The fluctuation theorem establishes general relations between transport coefficients and fluctuations in nonequilibrium systems. Recently there was much interest in quantum fluctuation relations for electric currents. Since charge carriers also carry spin, it is important to extend the fluctuation theorem to spin currents. We use the principle of microscopic reversibility to derive such theorem. As a consequence, we obtain a family of relations between transport coefficients and fluctuations of spin currents. We apply the relations to the spin Seebeck effect and rectification of spin currents. Our relations do not depend on a microscopic model and hence can be used to test the validity of theoretical approximations in spin-transport problems.
Fluctuation relations without microscopic time reversality: Generalized Green-Kubo relation and integral fluctuation theorem for uniformly sheared granular systems
Anomalous hydrodynamic fluctuations in the quantum XXZ spin chain
King’s College London(伦敦国王学院);University of Oxford(牛津大学);New York University(纽约大学);CNRS, Université Paris-Dauphine, Université PSL(法国国家科学研究中心,巴黎第九大学,巴黎文理研究大学);University of Ljubljana(卢布尔雅那大学)