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arXiv · 2407.00194

Symmetry oscillations in strongly interacting one-dimensional mixtures

Silvia Musolino·Mathias Albert·Anna Minguzzi·Patrizia Vignolo
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Abstract

Multicomponent quantum mixtures in one dimension can be characterized by their symmetry under particle exchange. For a strongly interacting Bose-Bose mixture, we show that the time evolution of the momentum distribution from an initially symmetry-mixed state is quasiconstant for a SU(2) symmetry conserving Hamiltonian, while it displays large oscillations in time for the symmetry-breaking case where inter- and intraspecies interactions are different. Using the property that the momentum distribution operator at strong interactions commutes with the class-sum operator, the latter acting as a symmetry witness, we show that the momentum distribution oscillations correspond to symmetry oscillations, with a mechanism analogous to neutrino flavor oscillations.

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Silvia Musolino, Mathias Albert, Anna Minguzzi, Patrizia Vignolo. 2024-06-28. Symmetry oscillations in strongly interacting one-dimensional mixtures. https://doi.org/10.1103/physrevlett.133.183402

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