In one-dimensional bosonic quantum mixtures with a SU(2)-symmetry-breaking Hamiltonian, the dynamical evolution explores different particle-exchange-symmetry sectors. For the case of infinitely strong intraspecies repulsion, the hallmark of such symmetry oscillations is time modulations of the momentum distribution [Musolino et al., Phys. Rev. Lett. 133, 183402 (2024)], an observable routinely accessed in experiments with ultracold atoms. In this work we show that this phenomenon is robust in strongly interacting quantum mixtures with an arbitrary interspecies-to-intraspecies interaction-strength ratio. Taking as the initial state the ground state of the SU(2)-symmetric Hamiltonian and time evolving with the symmetry-breaking Hamiltonian, we analyze how the amplitude and frequency of symmetry oscillations, and thus of the momentum-distribution oscillations, depend on the strength of the symmetry-breaking perturbation. We find that the set of symmetry sectors which are coupled during the time evolution is dictated by the spin-flip symmetry of the initial state and show that the population of the initial state may vanish periodically, even in the thermodynamic limit, thus revealing the robustness and universality of the symmetry oscillations.

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• Bose-Bose mixtures
• Cold atoms & matter waves
• 1-dimensional systems
• Ultracold gases
• Exact solutions for many-body systems
• SU(N) symmetries