title: Particle coupled to a heat bath in non-Abelian gauge potentials.
abstract: 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.
authors.affiliation: 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.
authors.forename: Issoufou
authors.initials: I
authors.lastname: Guingarey
authors.affiliation: 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.
authors.forename: Gabriel Y H
authors.initials: GY
authors.lastname: Avossevou