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Abstract: We study two-component or pseudo-spin-1-2 Bose or Fermi gases in onedimension, in which particles are convertible between the components. Throughbosonization and numerical analyses of a simple lattice model, we demonstratethat, in such gases, a strong intercomponent repulsion induces spontaneouspopulation imbalance between the components, namely, the ferromagnetism of thepseudo spins. The imbalanced phase contains gapless charge excitationscharacterized as a Tomonaga-Luttinger liquid and gapped spin excitations. Weuncover a crucial effect of the intercomponent particle hopping on thetransition to the imbalanced phase. In the absence of this hopping, thetransition is of first order. At the transition point, the energy spectrumreveals certain degeneracy indicative of an emergent SU2 symmetry. With aninfinitesimal intercomponent hopping, the transition becomes of Ising type. Wedetermine the phase diagram of the model accurately and test the reliability ofthe weak-coupling bosonization formalism.



Author: Shintaro Takayoshi, Masahiro Sato, Shunsuke Furukawa

Source: https://arxiv.org/



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