Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model

Details Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model

2009-05-05

arxiv.org/abs/0905.0598v1

Physics

Condensed Matter

Quantum Gases

4 pages, 2 figures

Scientific paper

The dynamic spin structure factor $\mathcal{S}(k,\omega)$ of a system of spin-1/2 bosons is investigated at arbitrary strength of interparticle repulsion. As a function of $\omega$ it is shown to exhibit a power-law singularity at the threshold frequency defined by the energy of a magnon at given $k.$ The power-law exponent is found exactly using a combination of the Bethe Ansatz solution and an effective field theory approach.

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