Dynamics of a one-dimensional spinor Bose liquid: a phenomenological approach

Abstract

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 wavenumber q with the period 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, $\omega \to {\omega }_m(q,n)$. Without using any specific model of the inter-particle interactions, we relate the corresponding exponents to independently measurable quantities $\partial {\omega }_m/\partial q$ and $\partial {\omega }_m/\partial n$.

4 pages,

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• Mean-field construction for spectrum of one-dimensional Bose polaron
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• Quantum impurities: from mobile Josephson junctions to depletons
• Dynamics of a Mobile Impurity in a One-Dimensional Bose Liquid
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• Spontaneous population imbalance in two-component Bose and Fermi gases
• Dynamics of a Mobile Impurity in a Two Leg Bosonic Ladder
• Nature of the many-body excitations in a quantum wire: theory and experiment
• Exact spectral function of a Tonks-Girardeau gas in a lattice
• Spectral edge mode in interacting one-dimensional systems
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• Spectrum of elementary excitations in Galilean-invariant integrable models
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• Universality and quantum criticality of the one-dimensional spinor Bose gas
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