Sine-Gordon dynamics in spin transport
arXiv:2311.06862 · doi:10.1103/PhysRevA.109.053310
Abstract
We study spin transport in a one-dimensional finite-length wire connected to fermionic leads. The interacting wire is described by the sine-Gordon model while the leads are either noninteracting or interacting Luttinger liquids. We calculate the spin current driven by a spin bias by solving numerically the classical equation of motion, and we find that the cosine term in the sine-Gordon model gives rise to an oscillating spin current when the spin bias exceeds its critical value. We discuss the results in connection with transport experiments with ultracold atoms.
arXiv comment13 pages, 7 figures
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