Symmetry oscillations in strongly interacting one-dimensional mixtures
- Others:
- Laboratoire de physique et modélisation des milieux condensés (LPM2C) ; Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)
- Institut de Physique de Nice (INPHYNI) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UniCA)
- Institut universitaire de France (IUF) ; Ministère de l'Education nationale, de l'Enseignement supérieur et de la Recherche (M.E.N.E.S.R.)
- UAR 839 CNRS-Sorbonne Université
- ANR-21-CE47-0009,Quantum-SOPHA,Simulateurs quantiques 1D avec des photons et des atomes(2021)
Description
Multi-component 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 quasi-constant for a SU(2) symmetry conserving Hamiltonian, while it displays large oscillations in time for the symmetry-breaking case where inter- and intra-species 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 analog to neutrino flavour oscillations.
Abstract
International audience
Additional details
- URL
- https://hal.science/hal-04736395
- URN
- urn:oai:HAL:hal-04736395v1
- Origin repository
- UNICA