Dynamical Structure Factor and Spin-Density Separation for a Weakly-Interacting Two-Component Bose Gas

Abstract

We show that spin-density separation in a Bose gas is not restricted to 1D but also occurs in higher dimension. The ratio ($\alpha$) of the intra-species atom-atom interaction strength to the inter-species interaction strength, strongly influences the dynamics of spin-density separation and the elementary excitations. The density wave is phonon-like for all values of $\alpha$. For $\alpha <1$, spin wave is also phonon-like. The spin waves have a quadratic dispersion in the $\alpha =1$ coupling regime, while in the phase separated regime ($\alpha >1$) the spin waves are found to be damped. The dynamical structure factor (DSF) reveals two distinct peaks corresponding to the density and spin waves for $\alpha \le 1$. For $\alpha >1$ there is only one DSF peak corresponding to the density wave.

4 pages, 2 figures

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Cited by in corpus (9)

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• Static structure factors for a spin-1 Bose-Einstein condensate
• Landau versus Spin Superfluidity in Spinor Bose-Einstein Condensates
• Beliaev Damping in Spin-$\frac{1}{2}$ Interacting Bosons with Spin-Orbit Coupling
• Dimensional crossover in a Fermi gas from one to effective six dimensions and a cross-dimensional Tomonaga-Luttinger model
• Ferromagnetic spin-orbital liquid of dipolar fermions in zigzag lattices
• Damping in two component Bose gas
• Probing $p$-wave effects in spin-density separation of Bose mixtures with the dynamic structure factor
• Breaking of Lorentz invariance caused by the interplay between spin-orbit interaction and transverse phonon modes in quantum wires