Spin Dynamics in a One-Dimensional Ferromagnetic Bose Gas

M. B. Zvonarev, V. V. Cheianov, T. Giamarchi
2007 Physical Review Letters  
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
more » ... le 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.
doi:10.1103/physrevlett.99.240404 pmid:18233427 fatcat:pd7bg2hzgrdfroqqlqqpsswjrq