Quantum Dynamics of Dark and Dark-Bright Solitons beyond the Mean-Field Approximation

S. I. Mistakidis, G. C. Katsimiga, Georgios M. Koutentakis +2 more

William P. Reinhardt

JiaJia Chang, Chris Hamner, Peter Engels

G C Katsimiga, G M Koutentakis, S I Mistakidis +2 more

The dynamics of dark–bright (DB) solitons beyond the mean-field approximation is investigated. We first examine the case of a single DB soliton and its oscillations within a parabolic trap. Subsequently, we move to the setting of collisions, comparing the mean-field approximation to that involving multiple orbitals in both the dark and the bright component. Fragmentation is present and significantly affects the dynamics, especially in the case of slower solitons and in that of lower atom numbers. It is shown that the presence of fragmentation allows for bipartite entanglement between the distinguishable species. Most importantly the interplay between fragmentation and entanglement leads to the splitting of each of the parent mean-field DB solitons, placed off-center within the parabolic trap, into a fast and a slow daughter solitary wave. The latter process is in direct contrast to the predictions of the mean-field approximation. A variety of excitations including DB solitons in multiple (concurrently populated) orbitals is observed. Dark–antidark states and domain-wall-bright soliton complexes can also be observed to arise spontaneously in the beyond mean-field dynamics.

T. P. Billam

Kevrekidis, Panos, G. C. Katsimiga, Georgios M. Koutentakis +2 more

The dynamics of dark bright solitons beyond the mean-eld approximation is investigated. Werst examine the case of a single dark-bright soliton and its oscillations within a parabolic trap.Subsequently, we move to the setting of collisions, comparing the mean-eld approximation to thatinvolving multiple orbitals in both the dark and the bright component. Fragmentation is presentand signicantly aects the dynamics, especially in the case of slower solitons and in that of loweratom numbers. It is shown that the presence of fragmentation allows for bipartite entanglementbetween the distinguishable species. Most importantly the interplay between fragmentation andentanglement leads to the decay of each of the initial mean-eld dark-bright solitons into fast andslow fragmented dark-bright structures. A variety of excitations including dark-bright solitons inmultiple (concurrently populated) orbitals is observed. Dark-antidark states and domain-wall-brightsoliton complexes can also be observed to arise spontaneously in the beyond mean-eld dynamics.