Seminaria

Single-shot simulations of dynamics of quantum dark solitons

Eigenstates of Bose particles with repulsive contact interactions in one-dimensional space with periodic boundary conditions can be found with the help of the Bethe ansatz. As shown by E.H. Lieb, such a system (so called Lieb-Liniger model) exhibits two branches of elementary excitations. The type II excitations are supposed to correspond to dark solitons. We analyze, based on the Lieb-Liniger model, emergence of single and double solitons in the course of the measurement and investigate their dynamics. In the weak interaction limit, the system follows the mean-field prediction for a short period of time. Long time evolution reveals many-body effects that are related to an increasing uncertainty of soliton positions.