Localization Transition for Interacting Quantum Particles in Colored-Noise Disorder

We investigate the localization transition of interacting particles in a one-dimensional system with colored-noise disorder, where backward scattering processes are suppressed beyond a cutoff. Employing two complementary renormalization group procedures, we derive the phase diagram and reveal a significant shift in the localization transition point, governed by correlations. Our numerical analysis further demonstrates that the scaling of the localization length with disorder strength deviates markedly from the conventional behavior observed in typical localized phases, highlighting the unique impact of correlated disorder on interacting quantum systems. Application to optical disorder used in cold atom experiments is discussed.