Guingarey Issoufou, Avossevou Gabriel Y H
Unité de Recherche en Physique Théorique (URPT), Institut de Mathématiques et de Sciences Physiques (IMSP) Université d'Abomey-Calavi (UAC) 01 BP 613 Porto-Novo, République du Bénin.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062140. doi: 10.1103/PhysRevE.92.062140. Epub 2015 Dec 28.
We derive the quantum Langevin equation (QLE) for a harmonically single trapped cold atom subjected to artificial non-Abelian gauge potentials and linearly coupled to a heat bath. The independent-oscillator (IO) and the momentum-momenta coupling models are studied. In each case, the non-Abelian effect on the QLE is pointed out for a U(2) gauge transformation. For the IO model, only the generalized Lorentz force is modified by the appearance of an additive term. For the momentum-momenta coupling model, the generalized Lorentz force as well as the friction force are subjected to modifications. The dependence of the system on the magnetic field is explicit even if the gauge potential is uniform in space.
我们推导了处于人工非阿贝尔规范势且线性耦合到热库的单囚禁冷原子的量子朗之万方程（QLE）。研究了独立振子（IO）模型和动量 - 动量耦合模型。在每种情况下，针对U(2)规范变换指出了QLE中的非阿贝尔效应。对于IO模型，仅通过一个附加项的出现修改了广义洛伦兹力。对于动量 - 动量耦合模型，广义洛伦兹力以及摩擦力都受到了修改。即使规范势在空间中是均匀的，系统对磁场的依赖性也是明显的。
