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Spin dynamics in a one-dimensional ferromagnetic Bose Gas.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>13/12/2007
<mark>Journal</mark>Physical review letters
Issue number24
Pages (from-to)240404
Publication StatusPublished
<mark>Original language</mark>English


We investigate the propagation of spin excitations in a one-dimensional ferromagnetic Bose gas. While the spectrum of longitudinal spin waves in this system is soundlike, the dispersion of transverse spin excitations is quadratic, making a direct application of the Luttinger liquid theory impossible. By using a combination of different analytic methods we derive the large time asymptotic behavior of the spin-spin dynamical correlation function for strong interparticle repulsion. The result has an unusual structure associated with a crossover from the regime of trapped spin wave to an open regime and does not have analogues in known low-energy universality classes of quantum 1D systems.