Self-induced entanglement resonance in a disordered Bose-Fermi mixture

Different regimes of entanglement growth under measurement have been demonstrated for quantum many-body systems, with an entangling phase for low measurement rates and a disentangling phase for high rates (quantum Zeno effect). Here we study entanglement growth on a disordered Bose-Fermi mixture with the bosons playing the role of the effective self-induced measurement for the fermions. Due to the interplay between the disorder and a non-Abelian symmetry, the model features an entanglement growth resonance when the boson-fermion interaction strength is varied. With the addition of a magnetic field, the model acquires a dynamical symmetry leading to experimentally measurable long-time local oscillations. At the entanglement growth resonance, we demonstrate the emergence of the cleanest oscillations. Furthermore, we show that this resonance is distinct from both noise enhanced transport and a standard stochastic resonance. Our work paves the way for experimental realizations of self-induced correlated phases in multi-species systems.