Quench-induced chaotic dynamics of Anderson-localized interacting Bose-Einstein condensates in one dimension

We study the effect of atomic interaction on localization and associated dynamics Bose-Einstein condensates in a one-dimensional quasiperiodic optical lattice random disordered potentials. When interactions are absent, exhibit localization, which weakens as we increase strength beyond threshold value for both potential types. inspect localized delocalized states by perturbing system via quenching instantaneously to zero studying condensate, further corroborate using out-of-time-order correlator. The temporal behavior time correlator displays regular state, while it shows chaos state. confirm this dynamical analyzing power spectral density identify that condensate admits route chaotic Finally, present variation maximal Lyapunov exponents different nonlinearity disorder strengths have positive regime where time-correlator function behavior. Through this, establish strong connection between spatially state its chaos.