| Soliton is one of the most basic excitations in nonlinear systems,which pos-sess stability and locality.Researchers have successfully prepared solitons in different kinds of Bose-Einstein condensates(BEC),including atomic Bose gases and exciton-polariton systems in optical microcavities.As the recent develop-ment of experimental techniques,the research on the nonequilibrium control for these systems,including sudden quench on the interaction strength,has revealed various novel universal beyond-equilibrium phenomena,thus becomes a hot top-ic.While the experimental nonequilibrium control for solitons is still in the exploration period,theoretical understanding and support are required.In this thesis,we systematically explored the dynamic properties of two basic types of solitons under the interaction quench.In the atomic BEC systems,we discovered that,under specific quench strength,a single dark soliton will be split into paired solitons of anti-direction motion,whereas a single bright soliton will be transformed into bounded soliton pairs with oscillating behavior,thus called breathers.Based on these findings,we proposed several experimental schemes for creating solitons pairs that are either split or bounded through quenching interactions.In these schemes,the initial state is not necessary to be soliton.For example,the BEC ground state in a square-well trap,due to its similarity to the dark soliton,can produce soliton pairs after quenching interactions.Our research provide significant meanings and broad prospect for soliton preparation,optical fibre communication and quantum communications. |
