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We consider an open isotropic Heisenberg quantum spin chain, coupled at the ends to boundary reservoirs polarized in different directions, which sets up a twisting gradient across the chain.
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That the isotropy of the Hamiltonian is important for harmonicity of the magnetization profile, is seen in an integrable example of X X Z XXZ model with antiparallel twisting ( θ = π \theta=\pi ): outside the isotropic point Δ = 1 \Delta=1 , magnetization profiles are either flat or domain-wall like ProsenExact2011
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D. Karevski, V. Popkov and G. M. Schütz, Phys. Rev. Lett
2013
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J. J. Mendoza-Arenas, S. Al-Assam, S. R. Clark, D. Jaksch, J. Stat. Mech
2013
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V. Popkov and R. Livi, New J. Phys
2013
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V. Popkov and M. Salerno, Phys. Rev. E
2013
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V. Popkov and M. Salerno, J. Stat. Mech
2013
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Note that our definition of θ \theta is related to the one in MPA2013 by replacement θ → π − θ \theta\rightarrow\pi-\theta
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