Information entropy in spin-orbit coupled dipolar condensates with magnetic field

In this paper, we study the formation of Shannon information entropy in spin-orbit coupled (SOC) spin-1 antiferromagnetic dipolar Bose-Einstein condensates with external magnetic field. Our results show that, in the absence of magnetic field and with an increase in dipole-dipole interaction (DDI), information entropy in position space Sr and momentum space Sk remains almost unchanged and increases, respectively. Meanwhile, the order parameter delta decreases, which implies that the system develops toward a disorder state. With the increase of SOC strength, Sr, Sk and delta show similar dynamics behavior. Whereas, in the presence of magnetic field, Sk and delta are localized in the small scope by increasing the dipole and SOC strength. In addition, the value of Sr is nearly the same in this process. These results embody that the introduction of external magnetic field suppresses the role of SOC and DDI, and impedes the condensates towards disorder state. At last, the influence of geometric structure and atom number on information entropy is investigated. It is seen that a narrower trap and fewer atom number make Sr decrease and Sk increase.