Characteristics of information entropy in spin–orbit coupled spin-1 Bose–Einstein condensates
Abstract
In this paper, we study the properties of information entropy in spin–orbit coupled spin-1 Bose–Einstein condensates. Our discussion is divided into two parts, stationary state and dynamics. For the former, we find that the coordinate component Sr and total entropy S increase with the strength of the spin–orbit coupling κ. The momentum component Sk shows a discontinuity behavior, it increases with κ when κ is lesser than a critical value κc, while it decreases with κ when κ is greater than κc. In order to characterize the disorder-to-order transition, we introduce an order parameter η. Numerical results display that η gradually increases with increasing κ and reaches its saturation, which implies that the system becomes more and more ordered. For the latter, the Sr increases and Sk decreases with increasing κ at the same time. The entropic uncertainty relation is well obeyed at fixed κ. Moreover, η decreases as a function of t. The strength effect of spin–orbit coupling on order-to-disorder transition becomes weak.
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