Symmetry oscillations in strongly interacting one-dimensional mixtures

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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• Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
• Dynamical probing of high-order spin coherence in one-dimensional mixtures
• Shortcut to spin dynamics for quantum mixtures
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
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• Expansion of one-dimensional spinor gases from power-law traps