Short-time dynamics of quantum many-body systems following a spin statistics switch

Recent experimental progress in the field of ultracold atoms and ions (1,2) has lead to an increasing interest in the theoretical understanding of the dynamics or many body systems at very low temperatures. Under these conditions, the quantum character of the atoms and ions can play a crucial role, We consider situations where the type of spin statistics the particles obey is changed by laser ionization of atoms. We show that after the ionization of fermionic atoms the ion ensemble undergoes a gradual transition from Fermi to Bose statistics. The temporal behavior of several contributions to the total energy oil the time scale of correlation build-up is analyzed. Of special interest is the effective exchange energy which reflects the statistics character and the kinetic energy which indicates, depending on the initial state, heating or cooling of the system (3).