TY - JOUR TI - Interaction and external field quantum quenches in the Lieb-Liniger and Gaudin-Yang model DO - https://doi.org/doi:10.7282/T3W37TS3 PY - 2014 AB - A review of the solution of the Lieb-Liniger is given. Using the wave function, the dynamics after a quench with a time dependent interaction strength is studied. Directly calculating the overlaps of wave functions, an interaction strength linear in time is examined. Furthermore utilizing those overlaps and the so called Yudson representation a time periodic interaction strength is studied. Moreover the dynamics of the Lieb-Liniger model with an external homogenous field is analyzed. After giving a review of the solution of the Gaudin-Yang model, an outlook on how the wave function for the Gaudin-Yang model in an external homogenous field could be obtained is given. KW - Physics and Astronomy KW - Wave functions LA - eng ER -