Spin dynamics in a one-dimensional ferromagnetic Bose gas

Abstract

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.

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

References in corpus (3)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Spin waves in a one-dimensional spinor Bose gas
• Green's function for magnetically incoherent interacting electrons in one dimension

Cited by in corpus (10)

• Quantum transport through a Tonks-Girardeau gas
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Bloch oscillations in one-dimensional spinor gas
• Threshold singularities in the dynamic response of gapless integrable models
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Excitations in two-component Bose-gases
• On the spin-liquid phase of one dimensional spin-1 bosons
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Quantum interference and spin-charge separation in a disordered Luttinger liquid