Formation of Information Entropy in Spinor Bose-Einstein Condensates

In this paper, we investigate the information entropy formation in a spinor (F = 1) Bose-Einstein condensates (BECs) by numerically solving the three-dimensional Gross-Pitaevskii equation (GPE). The effect of the spin-independent interaction \({c}_{0}^{\prime }\), spin-dependent interaction \({c}_{2}^{\prime }\) and external magnetic field Bext is discussed. We reveal that the position component Sr and total entropy S increase and the momentum component Sk decreases with increasing the \({c}_{0}^{\prime }\) or Bext. Moreover, the order parameter δ decreases with increasing \({c}_{0}^{\prime }\) or Bext, implying that the system becomes a more disordered state. However, for the side of \({c}_{2}^{\prime }\), we find that the information entropy keep almost constant irrespective of \({c}_{2}^{\prime }\), and the extent of disorder is also invariability.