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Relaxation of the mobile impurity injected into one-dimensional quantum liquid
Mikhail Zvonarev (LPTMS)
I will discuss a time evolution of the mobile impurity injected with an arbitrary velocity into one-dimensional quantum liquid. I will demonstrate that the impurity holds a finite fraction of its initial momentum even after infinitely long waiting time and that the impurity momentum oscillates during the equilibration process. To obtain these results a combination of exact (Bethe Ansatz), variational, and numerical methods were used. I will finally overview the experiments in the ultracold atomic gases which are related to impurity dynamics.