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.
Keywords
Cite
@article{arxiv.2407.00194,
title = {Symmetry oscillations in strongly interacting one-dimensional mixtures},
author = {Silvia Musolino and Mathias Albert and Anna Minguzzi and Patrizia Vignolo},
journal= {arXiv preprint arXiv:2407.00194},
year = {2024}
}