Upsilon Suppression In The Schr(?)dinger-Langevin Approach

We treat the question of bottomonia suppression in ultrarelativistic heavy ion collisions(URHIC)as a dynamical open quantum problem.Coping a quantum sub-system interacting with a thermal bath,the Schrodinger-Langevin equation(SLE)is considered as an effective way to tackle such problem.We focus on two open issues:the first one is the stationarity of the excited states of the non-interacting subsystem when one considers the dissipation only.The other one is the thermal relaxation toward asymptotic distributions with the additional stochastic term.We first show that a proper application of the wave function leads to a non zero damping of the excited states of the quantum subsystem.We than analytically and numerically the SLE ability to bring a quantum subsystem to the thermal equilibrium of statistical mechanics.Finally,we discussed the SLE with the bottomonia,draw the corresponding energy and the influence of the suppression.