Spin dynamics in a one-dimensional ferromagnetic Bose Gas.

Zvonarev, M. B. and Cheianov, Vadim V. and Giamarchi, T. (2007) Spin dynamics in a one-dimensional ferromagnetic Bose Gas. Physical review letters, 99 (24). p. 240404. ISSN 1079-7114

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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.

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Journal Article
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Physical review letters
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29 Oct 2008 11:04
Last Modified:
21 Nov 2022 18:24