University of Minnesota
School of Physics & Astronomy
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Alex Kamenev

“Dynamics of a one-dimensional spinor Bose liquid: a phenomenological approach”
A. Kamenev, and L. I. Glazman, Phys. Rev. A 80, 011603(R) (2009)

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The ground state of a spinor Bose liquid is ferromagnetic, while the softest excitation above the ground state is the magnon mode. The dispersion relation of the magnon in a one-dimensional liquid is periodic in the wave number q with the period of 2πn, determined by the density n of the liquid. Dynamic correlation functions, such as, e.g., spin-spin correlation function, exhibit power-law singularities at the magnon spectrum, ω→ωm(q,n). Without using any specific model of the interparticle interactions, we relate the corresponding exponents to independently measurable quantities ∂ωm/∂q and ∂ωm/∂n.