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Spin-helix states in the XXZ spin chain with strong dissipation

Abstract

We investigate the nonequilibrium steady state (NESS) in an open quantum XXZ chain with strong XY plane boundary polarization gradient. Using the general theory developed in [1], we show that in the critical XXZ |Δ|<1 easy plane case, the steady current in large systems under strong driving shows resonance-like behaviour, by an infinitesimal change of the spin chain anisotropy or other parameters. Alternatively, by fine tuning the system parameters and varying the boundary dissipation strength, we observe a change of the NESS current from diffusive (of order 1/N, for small dissipation strength) to ballistic regime (of order 1, for large dissipation strength). This drastic change results from an accompanying structural change of the NESS, which becomes a pure spin-helix state characterized by a winding number which is proportional to the system size. We calculate the critical dissipation strength needed to observe this surprising effect.

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