International Journal Of Modern Physics B, cilt.35, sa.6, ss.2150088-21500111, 2021 (SCI-Expanded)
In this study we
investigate the effects of three body and higher order interactions with two body
interaction on ground state properties of Bose Einstein condensation (BEC) for
combined optical and harmonic potentials in detailed by solving new modified
Gross-Pitaevskii equation (GPE). In fact, the basis of the study is
combinations of attractive and repulsive two body interaction with other
attractive and repulsive interaction types. The obtained results show that
taking into account higher order and three body interactions collectively
support to stabilize the BEC system regardless of repulsive or attractive two
body interaction. When repulsive (attractive) binary interaction exists in the
system, having at least one attractive (repulsive) interaction type makes the
system stable. Also the stability of the BEC system is discussed by the
calculating energy. The energy of system is determined by semi-analytical
approach. Lastly the chemical potential of system is calculated according to
different possible combined interaction types. It is observed that generally
the sign of the chemical potential is determined by sign of the strongest interaction in the system
especially three body interaction. Detailed results are given in this paper.