Complex correlations in high harmonic generation of matter-wave jets revealed by pattern recognition

Correlations in interacting many-body systems are key to the study of quantum materials and quantum information. More often than not, the complexity of the correlations grows quickly as the system evolves and thus presents a challenge for experimental characterization and intuitive understanding. In a strongly driven Bose-Einstein condensate, we observe the high harmonic generation of matter-wave jets with complex correlations as a result of bosonic stimulation. Based on a pattern recognition scheme, we identify a universal pattern of correlations which offers essential clues to unveiling the underlying secondary scattering processes and high-order correlations. We show that the pattern recognition offers a versatile strategy to visualize and analyze the quantum dynamics of a many-body system.