Information theoretic approach to effects of spin–orbit coupling in quasi-one-dimensional Bose–Einstein condensates

Abstract

We consider a spin-orbit coupled (SOC) one dimensional Bose–Einstein condensate (BEC) with attractive atom-atom interaction and make use of Shannon entropy (S), and Fisher information (I) to study the response of atomic density profiles to changes in κ L , the strength of the spin–orbit coupling for fixed values of Rabi frequency (Ω). Density profiles of our interest are characterized by (i) (region 1) and (ii) (region 2). We also pay attention to a spatially modulated density profile representing stripe phase of the condensate. Our numbers for S and I show that in region 1 the profile becomes localized as κ L increases while in region 2 we observe delocalization. Values of I in the stripe phase provide an evidence for the supersolid properties of the SOC BEC and indicate that supersolidity is a purely quantum phenomenon.