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Symmetry Oscillations in Strongly Interacting One-Dimensional Mixtures
S Musolino1,2, M Albert2,3, A Minguzzi1
1<a href="https://ror.org/02rx3b187">Université Grenoble Alpes</a>, CNRS, LPMMC, 38000 Grenoble, France.
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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