Signature of reentrant localization in collisional inhomogeneous spin-orbit coupled condensates

We report the appearance of reentrant localization in a one-dimensional spin-orbit coupled binary Bose-Einstein condensate confined in a quasiperiodic optical lattice in the presence of collisional inhomogeneity. We introduce the inhomogeneity of the spatial modulation of nonlinear interactions, which have the same nature as those of the quasiperiodic potential. A π/2 phase shift between the spatial modulation of nonlinearity and the quasiperiodic potential results in the appearance of an intermediate delocalized state sandwiched between two localized regions, a typical signature of reentrant localization. We employ numerical and variational approaches to characterize the structure and dynamics of reentrant localization. We find that the reentrant features appear either upon varying the strength of the inhomogeneity or changing the spin-orbit and Rabi coupling parameters. We further confirm the stability of the localized and delocalized state by performing the dynamical studies of the condensate by perturbing the ground state either through the velocity perturbation or upon quenching the trap strength.