# Séminaire du LPTMS : Oleksandr Gamayun

### Oleksandr Gamayun, Lancaster University

We investigate the time evolution of the momentum of an impurity atom injected into a degenerate Tonks-Girardeau gas. We establish that given an initial momentum p0 the impurity relaxes to a steady state with a non-vanishing momentum p∞. The nature of the steady state is found to be drastically different for integrable and non-integrable impurity models, which is due to multiple coherent scattering processes leading to a resonant interaction between the impurity and the host in the integrable case. The dependence of $p_\infty$ on $p_0$ remains non-trivial even in the limit of vanishing interaction between the impurity and host particles. In this limit $p_\infty(p_0)$ is found explicitly and the case of the external force applied to the impurity is analyzed as well.

Date/Time : 07/05/2014 - 14:00 - 15:00