Spin dynamics in a one-dimensional ferromagnetic Bose gas

Details Spin dynamics in a one-dimensional ferromagnetic Bose gas Spin dynamics in a one-dimensional ferromagnetic Bose gas

2007-08-27

arxiv.org/abs/0708.3638v2

Phys.Rev.Lett. 99, 240404 (2007)

Physics

Condensed Matter

Other Condensed Matter

Final version as appears in Phys. Rev. Lett.; Eqs. (6) and (14) have been corrected

Scientific paper

10.1103/PhysRevLett.99.240404

We investigate the propagation of spin excitations in a one-dimensional (1D) ferromagnetic Bose gas. While the spectrum of longitudinal spin waves in this system is sound-like, the dispersion of transverse spin excitations is quadratic making a direct application of the Luttinger Liquid (LL) 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.

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