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Area of Science:

  • Quantum physics
  • Many-body systems
  • Condensed matter theory

Background:

  • Multicomponent quantum mixtures in one dimension are complex systems.
  • Characterizing these mixtures involves understanding their symmetry under particle exchange.
  • Strongly interacting Bose-Bose mixtures present unique challenges for theoretical analysis.

Purpose of the Study:

  • To investigate the time evolution of momentum distribution in a strongly interacting Bose-Bose mixture.
  • To analyze the role of SU(2) symmetry conservation versus symmetry breaking in this evolution.
  • To establish a connection between momentum distribution oscillations and symmetry properties.

Main Methods:

  • Studied a strongly interacting Bose-Bose mixture in one dimension.
  • Analyzed the time evolution of the momentum distribution from an initially symmetry-mixed state.
  • Utilized the commutation property between the momentum distribution operator and the class-sum operator (symmetry witness) at strong interactions.

Main Results:

  • For a SU(2) symmetry conserving Hamiltonian, the momentum distribution remains quasiconstant over time.
  • In the symmetry-breaking case (different inter- and intraspecies interactions), the momentum distribution exhibits large oscillations.
  • These oscillations in momentum distribution directly correspond to oscillations in symmetry, mirroring neutrino flavor oscillations.

Conclusions:

  • The symmetry of a quantum mixture Hamiltonian dictates the stability of its momentum distribution.
  • Symmetry breaking in strongly interacting Bose-Bose mixtures leads to observable oscillations in momentum distribution.
  • The phenomenon provides a novel mechanism for observing symmetry dynamics, analogous to neutrino oscillations.