Spin dynamics in a one-dimensional ferromagnetic Bose gas
arXiv:0708.3638 · doi:10.1103/PhysRevLett.99.240404
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 (11)
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Direct, Non-Destructive Imaging of Magnetization in a Spin-1 Bose Gas
- Spin waves in a one-dimensional spinor Bose gas
- Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas
- Spatial resolution of spin waves in an ultra-cold gas
- Polarization of interacting bosons with spin
- Green's function for magnetically incoherent interacting electrons in one dimension
- Exact calculation of spectral properties of a particle interacting with a one dimensional fermionic system
- Zero temperature correlation functions for the impenetrable fermion gas
- Spectral properties of one dimensional insulators and superconductors
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