Effects of Quantum Fluctuations on $\mathcal{PT}$-Symmetric Solitons of a Trapped Bose Gas *

Wei Qi,Liang-Wei Dong,Hai-Feng Li

Fig.4 The nonlinear eigenvalue $\mu$ (a) and the soliton width $\omega_{b}$ (b) versus the particle number $N$ for the "extra ordinary" branch with $q_{0}=0.06$ and $g_{0}=-1$. The corresponding soliton profile (c) is plotted with the parameter marked in (a) and (b).